The sequence below represents Marisa’s fine at the library for each day that she has an overdue book: $0.50, $0.65, $0.80, $0.95, $1.10, ... Which equation represents Marisa’s library fine as a function of a book that is n days overdue? f(n) = 0.15n f(n) = 0.50n f(n) = 0.15n + 0.35 f(n) = 0.50n + 0.15

Answers

Answer 1

Answer:

f(n) = 0.15n + 0.35

Step-by-step explanation:

The sequence of the problem above is an arithmetic sequence

For an nth term in an arithmetic sequence

F(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

To find the equation first find the common difference

0.65 - 0.5 = 0.15 or 0.80 - 0.65 = 0.15

The first term is 0.5

Substitute the values into the above formula

That's

f(n) = 0.5 + (n - 1)0.15

f(n) = 0.5 + 0.15n - 0.15

The final answer is

f(n) = 0.15n + 0.35

Hope this helps you

Answer 2

Answer:

The correct option is: f(n) = 0.15n + 0.35

Step-by-step explanation:

Took the math test on edge


Related Questions

Identify the sample space in the following tree diagram

A.) H, T
B.) TTT, TTH, THT, THH, HTT, HTH, HHT, HHH
C.) HHH, THH, TTH, TTT
D.) HT, TH, TT, HT

Answers

Answer: Choice B

There are 2 sides per coin, and 3 flips, so 2^3 = 8 total items in the sample space

HHHHHTHTHTHHHTTTHTTTHTTT

Tracing each branch from left to right will help form the 8 different outcomes. For instance, if you go along the upper most path of the upper tree, then you'll get HHH meaning you got 3 heads in a row. The next branch down would be HHT, and so on.

Is math a feature of the universe or a feature of human creation?

Answers

Answer:

a feature of the universe

Step-by-step explanation:

Math is a feature of the universe because what we call math is just a way of explaining how things work.

Andria wrote the following statements: Statement 1: If parallel lines have a transversal, then corresponding angles are congruent. Statement 2: A line has an infinite number of points extending in opposite directions. Which geometry term does each statement represent? (4 points) Statement 1: definition; Statement 2: theorem Statement 1: postulate; Statement 2: definition Statement 1: postulate; Statement 2: theorem Statement 1: theorem; Statement 2: postulate

Answers

Answer:  Statement 1: postulate; Statement 2: definition

Step-by-step explanation:

A postulate is assumed to be a fact and used to derive conclusions about any argument .A definition is a brief explanatory statement of a term.A theorem is a statement that can be proved to be true by using given, definitions, postulates or prior proved theorems .

Here, Statement 1:If parallel lines have a transversal, then corresponding angles are congruent.

which is a fact, and hence it is postulate.

Statement 2: A line has an infinite number of points extending in opposite directions.

which is an explanatory statement of a 'line', hence it is 'definition.

So the correct option is Statement 1: postulate; Statement 2: definition

Answer:statement 1 and statement 2 postulate

Step-by-step explanation:

Maria operates a taco truck in her neighborhood. She has created a graph based on her business performance in the previous year. The price she currently sells tacos for is $2.30. Which two statements correctly interpret this graph? Revenue and Cost Functions 1)Maria’s business is incurring losses. 2)Maria’s costs are rising over time. 3)Maria is running a profitable business. 4)Maria’s total revenue exceeds her total profit. 5)Maria’s total profit exceeds her total revenue.

Answers

Answer:

3)Maria is running a profitable business.

4)Maria’s total revenue exceeds her total profit.

Step-by-step explanation:

The graph shows variation of revenue and cost with respect to price of product and not with respect to time .

The price of the product is 2.30 . From this graph , we see  that at this price revenue exceeds total cost . So maria is running a profitable business .

Total profit can not exceed total revenue as

Total revenue - total cost = total profit .

So total profit will always be less than total revenue .

Nine students took the SAT. Their scores are listed below. Later on, they read a book on test preparation and retook the SAT. Their new scores are listed below. Test the claim that the book had no effect on their scores.Use α=0.05. Assume that the distribution is normally distributed. Student 1 2 3 4 5 6 7 8 9 Scores before reading book 72 0 86 0 850 88 0 86 0 710 85 0 1200 95 0 Scores after reading book 74 0 86 0 840 92 0 89 0 720 84 0 1240 97 0 Nine students took the SAT. Their scores are listed below. Later on, they read a book on test preparation and retook the SAT. Their new scores are listed below. Test the claim that the book had no effect on their scores. Use α = 0.05. Assume that the distribution is normally distributed. Student 1 2 3 4 5 6 7 8 9 Scores before reading book 72 0 86 0 850 88 0 86 0 710 85 0 1200 95 0 Scores after reading book 74 0 86 0 840 92 0 89 0 720 84 0 1240 97 0

Answers

Answer:

t= 0.4933

t ≥ t ( 0.025 ,8 ) = 2.306

Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: ud= 0 Ha: ud≠0

The significance level is set at ∝= 0.05

The test statistic under H0 is

t= d`/ sd/√n

which has t distribution with n-1 degrees of freedom

The critical region is t ≥ t ( 0.025 ,8 ) = 2.306

Computations

Student       Scores before      Scores after    Difference           d²

                        reading book                    ( after minus before)

1                          720                   740             20                       400

2                        860                   860              0                           0

3                        850                   840             -10                       100

4                        880                   920             40                       1600

5                        860                   890             30                        900

6                        710                    720              10                         100

7                       850                    840              -10                       100

8                      1200                  1240             40                        1600

9                      950                    970              20                           40

∑                    6930                  8020           140                         4840

d`= ∑d/n= 140/9= 15.566

sd²= 1/8( 4840- 140²/9) = 1/8 (4840 - 2177.778) = 2662.22/8= 332.775

sd= 18.2422

t= 3/ 18.2422/ √9

t= 0.4933

Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y= [tex]\frac{2}{x^2}[/tex]+3

Answers

Answer:

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Step-by-step explanation:

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

Tia uses 3/4 cup of pumpkin to make 1 1/4 pounds of dog treats. How much pumpkin does Tia use to make 1 pound of treats?

Answers

Answer:

4/5 cups  to make 1 pound of dog treats

Step-by-step explanation:

3/4 cups : 1 1/4 pounds

x cups : 1 pound

Cross multiply

3/4 * 1  = 1 1/4  * x

x = 3/4 / 1 1/4

= 3/4  /  5/4

= 3/4 * 4/5

= 3/5 cups

Use a​ t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed.
Claim: μ ≥8 300, α = 0.10
Sample statistics: x = 8000, s = 440, n = 24
A. What are the null and alternative hypotheses?
B. What is the value of the standardized test statistic?
C. What is the p-value?
D. Decide whether to reject or fail to reject the null hypothesis.

Answers

Answer:

A

     

The null hypothesis is  [tex]H_o : \mu \ge 8300[/tex]

The  alternative hypothesis is  [tex]H_a : \mu < 8300[/tex]

B

  [tex]t = -3.34[/tex]

C

 [tex]p-value = P(t< -3.34) = 0.00041889[/tex]

D

 reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is  [tex]\mu = 8300[/tex]

    The sample mean is [tex]\ = x = 8000[/tex]

     The  standard deviation is [tex]s = 440[/tex]

      The sample size is  [tex]n = 24[/tex]

       The  level of significance is  [tex]\alpha = 0.01[/tex]

   

The null hypothesis is  [tex]H_o : \mu \ge 8300[/tex]

The  alternative hypothesis is  [tex]H_a : \mu < 8300[/tex]

 The  test statistic is mathematically evaluated as

                     [tex]t = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }[/tex]

=>                  [tex]t = \frac{8000- 8300 }{ \frac{440}{\sqrt{24} } }[/tex]

=>                    [tex]t = -3.34[/tex]

The p-value is obtained from the z -table ( reference calculator dot net ) , the value is

         [tex]p-value = P(t< -3.34) = 0.00041889[/tex]

Looking at the values of  [tex]p-value and \ \alpha[/tex] we see that  [tex]p-value < \alpha[/tex] Hence we reject the null hypothesis  

PLLLEEEASSSSEEEE ANSWER FAST
The shape is based only on squares, semicircles, and quarter circles. Find the area of each shaded part.

Answers

Answer:

36.48 cm²

Step-by-step Explanation:

If you take a careful look at the figure given, you'd realise that the area of the shaded portion is actually created by 2 overlapping quarter circle.

The area of the shaded portion = Area of Square - Area of Unshaded part

Area of square = s² = 8² = 64 cm²

Area of the Unshaded portion = 2(Area of Square - Area of Quarter Circle)

= 2(s² - ¼*πr²)

Where, radius (r) = s = 8 cm, take π as 3.14

Area of unshaded part = 2(8² - ¼*3.14*8²)

= 2(64 - ¼*3.14*64)

= 2(64 - 1*3.14*16)

= 2(64 - 50.24)

= 2(13.76)

Area of unshaded part = 27.52 cm²

Area of shaded part = Area of Square - Area of Unshaded part

Area of shaded part = 64 - 27.52 = 36.48 cm²

A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a medium that imparts a viscous force of 2 N
when the speed of the mass is 4 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 3 cm/s, formulate the initial value problem describing the motion of the mass.
A)Find the solution of the initial value problem in the above problem.
B)Plot the graph of the steady state solution
C)If the given external force is replaced by a force of 2 cos(ωt) of frequency ω , find the value of ω for which the amplitude of the forced response is maximum.

Answers

Answer:

A) C1 = 0.00187 m = 0.187 cm,  C2 = 0.0062 m = 0.62 cm

B)  A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = [tex]\sqrt[4]{3}[/tex] is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

If m2 DOC = 44º and m2 COB = 80°,
find the measure of the indicated arc in circle 0.
Find measure of arc DC.

Answers

Answer:

44°

Step-by-step explanation:

Given:

m<DOC = 44°

m<COB = 80°

Required:

Angle measure of arc DC

SOLUTION:

A central angle is said to be equal to the angle measure of the arc it intercepts or corresponds with. Therefore, angle measure of arc DC = m<DOC.

measure of arc DC = 44°

Try to get to every number from 1 to 10 using four 4's and any number of arithmetic operations (+, −, ×, ÷). You may also you parentheses. Examples to get 0: 0=4+4−(4+4); 0=44−44; 0=4×4−4×4

Answers

Answer:

0=4×4−4×4

Step-by-step explanation:

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

1 = 4 ÷ 4

2 = (4 + 4) ÷ 4

3 = (4 + 4 + 4) ÷ 4

4 = 4 + 4 - 4

5 = (4 × 4 + 4) ÷ 4

6 = (4 + 4) - (4 ÷ 4) - (4 ÷ 4)

7 = (4 + 4) - (4 ÷ 4)

8 = 4 + 4

9 = (4 + 4) + (4 ÷ 4)

10 = (4 + 4) + (4 ÷ 4) + (4 ÷ 4)

Foram prescritos 500mg de dipirona para uma criança com febre.Na unidade tem disponivel ampola de 1g/2ml.Quantos g vão ser administrados no paciente

Answers

De acordo com a disponibilidade da unidade, há apenas a seguinte dosagem: 1g/2mL - ou seja, uma grama de dipirona a cada 2mL

O enunciado está meio mal formulado, pois é dito que foram prescritos 500mg de dipirona e é essa quantidade de farmaco que a criança tem que tomar. Deseja-se saber quantos mL deverao ser administrados.

Fazendo a classica regra de 3, podemos chegar no volume desejado:

(atentar que 500mg = 0,5g)

     g               mL

     1    ---------   2

    0,5  ---------  X    

1 . X = 0,5 . 2

X = 1mL

If cot Theta = Two-thirds, what is the value of csc Theta? StartFraction StartRoot 13 EndRoot Over 3 EndFraction Three-halves StartFraction StartRoot 13 EndRoot Over 2 EndFraction Eleven-thirds

Answers

Answer:

csctheta= [tex]\frac{\sqrt{13} }{3}[/tex]

Step-by-step explanation:

answer is provided on top

The value of the [tex]\rm cosec \theta = \frac{\sqrt{13} }{3}[/tex]. Cosec is found as the ratio of the hypotenuse and the perpendicular.

What is trigonometry?

The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle

The given data in the problem is;

[tex]\rm cot \theta = \frac{2}{3}[/tex]

The [tex]cot \theta[/tex] is found as;

[tex]\rm cot \theta = \frac{B}{P} \\\\ \rm cot \theta = \frac{2}{3} \\\\ B=2 \\\\ P=3 \\\\[/tex]

From the phythogorous theorem;

[tex]\rm H=\sqrt{P^2+B^2} \\\\ \rm H=\sqrt{2^2+3^2} \\\\ H=\sqrt{13} \\\\[/tex]

The value of the cosec is found as;

[tex]\rm cosec \theta = \frac{H}{P} \\\ \rm cosec \theta = \frac{\sqrt{13} }{3}[/tex]

Hence the value of the [tex]\rm cosec \theta = \frac{\sqrt{13} }{3}[/tex].

To learn more about the trigonometry refer to the link;

https://brainly.com/question/26719838

This test statistic leads to a decision to...

reject the null

accept the null

fail to reject the null



As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 88.9.

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 88.9.

The sample data support the claim that the population mean is not equal to 88.9.

There is not sufficient sample evidence to support the claim that the population mean is not equal to 88.9.

Answers

Answer:

There is not sufficient sample evidence to support the claim that the population mean is not equal to 88.9.

Step-by-step explanation:

We are given the following hypothesis below;

Let [tex]\mu[/tex] = population mean.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 88.9      {means that the population mean is equal to 88.9}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 88.9     {means that the population mean is different from 88.9}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                             T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~  [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean = 81.3

             s = sample standard deviation = 13.4

            n = sample size = 7

So, the test statistics =  [tex]\frac{81.3-88.9}{\frac{13.4}{\sqrt{7} } }[/tex]   ~ [tex]t_6[/tex]

                                     =  -1.501

The value of t-test statistics is -1.501.

Also, the P-value of the test statistics is given by;

                    P-value = P([tex]t_6[/tex] < -1.501) = 0.094

Since the P-value of our test statistics is more than the level of significance as 0.094 > 0.01, so we have insufficient evidence to reject our null hypothesis as the test statistics will not fall in the rejection region.

Therefore, we conclude that the population mean is equal to 88.9.

what is 38.4 cm + 38.4 cm ???

Answers

Answer:

76.8 cm

Step-by-step explanation:

Answer:

76.8 cm

Step-by-step explanation:

38.4 cm + 38.4 cm = 76.8 cm

X2 + (y - 1) 2 = 4 .............................

Answers

Answer:

Step-by-step explanation:

x²+(y-1)²=4

x²+y²+1-2y=4

x²+y²-2y=3

Answer:

[tex]x=\pm \sqrt{6-2y}[/tex]

[tex]$y=\frac{1}{2} (6-x^2)$[/tex]

Step-by-step explanation:

[tex]x^2+(y-1)\cdot 2 =4[/tex]

[tex]x^2+2y-2 =4[/tex]

[tex]x^2+2y =6[/tex]

I will solve it for [tex]x[/tex]

[tex]x^2 =6-2y[/tex]

[tex]x=\pm \sqrt{6-2y}[/tex]

Solving for [tex]y[/tex]

[tex]$y=3-\frac{x^2}{2} $[/tex]

[tex]$y=\frac{1}{2} (6-x^2)$[/tex]

help please I need help :(

Answers

A = 1 and 8

B = 2 and 4

C = 2 and 7

I’m pretty sure this is right? I’m still learning too :p

Answers:Angle 1 and angle 8 are alternate exterior angles (so are angle 5 and angle 4; but you only need to pick one pair)Angle 1 and angle 3 are corresponding angles (there are 3 other possible answers. See the second section below)Angle 2 and angle 7 are alternate interior angles (so are angle 3 and angle 6; but you only need to pick one pair)

=======================================================

Explanations:

For the sake of simplicity, imagine that lines m and n are parallel. They don't necessarily need to be in order to answer this problem, but it might help with the terminology better.

When we use the term "interior" we basically mean the region between or inside the parallel lines. So "exterior" is everything but that, which is composed of two separate regions that don't overlap. Exterior angles shown in this diagram are

angle 1, angle 5, angle 4, angle 8

The "alternate" refers to the idea that we're on alternate sides of the transversal cutting line. One pair of alternate exterior angles is angle 1 and angle 8. We have angle 1 below the transversal while angle 8 is on the opposite side and above the transversal. For similar reasoning, angles 5 and 4 are alternate exterior angles as well.

---------------------------------

Notice how each line crosses to form an X shape, producing 4 angles that share the same common vertex point. For instance, angles 1, 5, 6 and 2 are all around the same point.

Angle 1 and angle 3 are corresponding angles because they

a) are to the left of each parallel line (m and n)b) both below the transversal line

So in short, they are both in the same corner of each four corner angle configuration. They are both in the bottom left corner. This is the full list of all corresponding angle pairs

angle 1 and angle 3angle 2 and angle 4angle 5 and angle 7angle 6 and angle 8

---------------------------------

As stated in the first section above, the interior region is between the parallel lines. Alternate interior angles alternate being above and below the transversal line.

So this applies to angle 2 and angle 7. It also works for angle 3 and angle 6.

Please help with this, thanks

Answers

Answer:

BDC is half of mBC = 11°

Easily you see that C is A + BDC = 23°

Since C = 23° so mDC is twice = 46°

x

Heidi bought a machine that throws tennis balls for her dog to fetch. The height of each ball thrown by the machine, in feet, is modeled by the function f(x) = –x2 + x + 2, where x represents time in seconds. How many seconds after the machine throws the ball does it hit the ground?

Answers

Answer:

2 seconds

Step-by-step explanation:

Given the equation:

[tex]f(x) = -x^2 + x + 2[/tex]

Where f(x) represents the height of each ball thrown by machine.

and x represents the time in seconds.

To find:

The number of seconds after which the machine throws the balls hits the ground = ?

Solution:

In other words, we have to find the value of [tex]x[/tex] after which the [tex]f(x) = 0[/tex]

(Because when the ball hits the ground, the height becomes 0).

Let us put [tex]f(x) = 0[/tex] and solve for [tex]x[/tex]

[tex]f(x) = -x^2 + x + 2 =0\\\Rightarrow -x^2 + x + 2 =0\\\Rightarrow x^2 - x - 2 =0\\\Rightarrow x^2 - 2x+x - 2 =0\\\Rightarrow x(x - 2)+1(x - 2) =0\\\Rightarrow (x+1)(x - 2) =0\\\Rightarrow x =-1, 2[/tex]

[tex]x=-1[/tex] sec is not a valid answer because time can not be negative.

So, the answer is after 2 seconds, the ball hits the ground.

Transform the Cartesian (rectangular) equation to a polar equation: x = -9. The selected answer is incorrect.

Answers

Answer:

Solution : Option C

Step-by-step explanation:

We have the equations r² = x² + y², x = r cos(θ), and y = r sin(θ) that can be used to solve this problem. In this case we only need the second two equations (  x = r cos(θ), and y = r sin(θ) ) as we don't need to apply the concept of circles etc here.

Given : x = - 9,

( Substitute r cos(θ) for x )

r cos(θ) = - 9,

r = - 9 / cos(θ)

( Remember that sec is the reciprocal of cos(θ). Substitute sec for 1 / cos(θ) )

r = - 9 sec(θ)

Therefore the third option is the correct solution.

there was a total of 400 oranges and mangoes at a fruit stall.3/8 of these fruits were mangoes.each orange was priced at 40 cents,and each mango was priced at 60 cents.how much would mr.mead make if he sold 2/3 of the mangoes and 4/5 of the oranges?

Answers

Answer:

First find the number of Mango and oranges. 400 divided by 8 = 50. We use 8 because it is the whole part of the percentage. Since, there is 3/8 mangoes, multiply 50* 3= 150 mangoes and 50*5= 250 oranges.

2/3 of 150=100 mangoes. You would find this by dividing 150/3=50 then multiply by 2.

4/5 of 250= 200 oranges. You would find this by dividing 250/5=50 then multiply by 4.

$.40*100= $40.00 mangoes

$.60*200= $120.00 oranges

Mr. Mead would make $160.00

Step-by-step explanation:

Kathleen ordered a box of different colored light bulbs to use for stage lighting at the concert. Of the 60 bulbs in the box, 20% were red, 30% were orange, 30% were green, and 20% were blue. Of the blue ones, approximately 10% were damaged. What is the closest estimate for the number of blue bulbs that were damaged?

Answers

Answer:

1 bulb

Step-by-step explanation:

First find the number of blue bulbs

60 * 20 %

60 * .2

12 blue bulbs

10 % of the blue were damaged

12 * 10%

12 * .10

1.2

Rounding to the nearest whole number

1 bulb

60 x 0.2 x 0.1 = 1.2
Therefore 1 damaged blue bulb.

An oblique cylinder is shown.


An oblique cylinder is shown. It has a radius of 5, a height of 12, and a slant length of 13.


Which represents the volume of the cylinder, in cubic units?


120π

130π

300π

325π

Answers

Answer:

 The volume in terms of Pi is 300π

Step-by-step explanation:

This problem is on the mensuration of solid shapes, an oblique cylinder.

the expression for the volume of an oblique cylinder is given as

[tex]volume= \pi r^2h[/tex]

Given data

radius r= 5

height h= 12, and

slant length of 13.

Substituting the given data into the expression we can solve for the volume below

[tex]volume= \pi* 5^2*12\\\ volume= \pi*25*12\\\ volume= \pi*300\\\ volume= 300\pi[/tex]

Answer:

300

Step-by-step explanation:

Find (fºg)(2) and (f+g)(2) when f(x)= 1/x and g(x) = 4x +9

Answers

[tex](f\circ g)(2)=\dfrac{1}{4\cdot2+9}=\dfrac{1}{17}\\\\(f+g)(2)=\dfrac{1}{2}+4\cdot2+9=\dfrac{1}{2}+17=\dfrac{1}{2}+\dfrac{34}{2}=\dfrac{35}{2}[/tex]

1. Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Rolling a single die 53 times, keeping track of the "fives" rolled.
A) Not binomial: there are too many trials.
B) Not binomial: there are more than two outcomes for each trial.
C) Not binomial: the trials are not independent.
D) Procedure results in a binomial distribution.
2. Determine whether the given procedure results in a binomial distribution. If​ not, state the reason why.
Spinning a roulette wheel 7​ times, keeping track of the winning numbers.
A) Not binomial: there are more than two outcomes for each trial.
B) Procedure results in a binomial distribution.
C) Not binomial: there are too many trials.
D) Not binomial: the trials are not independent.

Answers

1. Not binomial: there are more than two outcomes for each trial.

Thus, option (B) is correct.

2. Procedure results in a binomial distribution.

Thus, option (B) is correct.

1. Not binomial: there are more than two outcomes for each trial.

In a binomial distribution, each trial can have only two outcomes (usually referred to as success and failure).

In this case, the procedure involves rolling a single die 53 times and keeping track of the "fives" rolled.

Since the outcome can be any number from 1 to 6 on each trial, it does not meet the criteria for a binomial distribution.

Thus, option (B) is correct.

2. Procedure results in a binomial distribution.

In this case, the procedure involves spinning a roulette wheel 7 times and keeping track of the winning numbers. The outcome of each trial is either a win or a loss, which satisfies the requirement for a binomial distribution.

Thus, option (B) is correct.

Learn more about Binomial Distribution here:

https://brainly.com/question/29163389

#SPJ6

find the domain of the graphed function.

Answers

{X| -4 < x < 2, X € R}

Both < signs should be greater than OR EQUAL signs, I just couldn’t find that symbol, sorry.

i will rate you branliest

Answers

Answer:

a₃ = 9

Step-by-step explanation:

The numbers in the set are referred to as { a₁, a₂, a₃, ... }

Answer:

a3 = 9 is the answer to this question

state crunchy theorem​

Answers

Answer: it says that if two different paths connect the same two points.

Step-by-step explanation:

It says that is two different paths connect the same two points, and a function holomorphic everywhere in between the two paths, then the two path integrals of the functions will be same.

Hi people, Please if someone can give me a hand, l already have done the first part of the exercise, but l cant make Angle CAB= X^0 c) calculate the lower bound for the value of tan X^0 there is the answer 1.02 (2dp) but l have no clue how to get it thanks i used Toa (Tan = Opp/ adj) but l couldnt find it thanks

Answers

Answer:

  (c) 1.02

Step-by-step explanation:

(c) The tangent is the ratio of Opposite to Adjacent. Its lowest value will be found where Opposite is lowest, and Adjacent is highest:

  min tan(A) = (min BC)/(max AB) = 75/73.5 ≈ 1.020408...(42-digit repeat)

Other Questions
. En el tringulo ABC, la medida del ngulo exterior en el vrtice B es el triple de la medida del ngulo C y la mediatriz de BC corta a AC en el punto F. sabiendo que FC=12. Calcular AB. The approach to measuring GDP that adds together compensation to employees, rents, interest income, dividends, undistributed corporate profits, proprietors' income, indirect business taxes, the consumption of fixed capital, and net foreign factor income earned in the United States is the: Yo help me real quick? Based on the essays central ideas, what is Emerson trying to convince the reader to think or do? According to the FTC's historical guidelines for mergers, would the FTC approve a merger between two firms that would result in an HHI of 1,025 after the merger?A: Maybe. The FTC would scrutinize the merger and make a case-by-case decision.B: Yes, the FTC would ignore the merger and allow it to go through.C: No, the FTC would probably challenge the merger.2. Instead of defining a market and counting up total sales, what are antitrust regulators looking at today when determining whether to allow a merger or not?A: HHIB: industry competitionC: four-firm concentration ratioD: innovation3. Price cap regulations are a market regulatory device governments utilize, where the top price a firm can charge is locked in for a defined period of time. All of the following statements are true, except:_________.A: The government sets a price by looking at the firm's average costs and then adding a normal rate of profit.B: The firm can make high profits by producing a higher quantity than expected.C: The firm can make high profits by producing at lower costs.D: The government sets a price level for a few years. Which of the following details from the story best helps the reader imagine the setting of the competition? A. There were many different types of dogs, but none like Sporty. B. The owners had to stand behind a yellow line that had been spray-painted across a 40 foot by 80 foot grassy field. C. Sporty sprinted, launched himself into the air, did a forward somersault, and caught the Frisbee before landing on all fours. D. The rival, a sleek Boxer named Raj, effortlessly bounded and gracefully plucked the Frisbee from the sky. Winnwbagel corp. currently sells 25,200 motor homes per year at 37,800 each, and 10,080 luxury motor coaches per year at $71,400 each. The company wants to introduce a new portable camper to fill out its product line., it hopes to sell 15,960 of these campers per year at $10,080 each. An independent consultant has determined that if the company introduces the new campers, it should boost the sales of its existing motor homes by 3,780 units per year, and reduce the sales of its motor coaches by 756 units per year. What is the amount to use as the annual sales figure when evaluating this project? a. $237,293,280.b. $262,271,520. c. $357,739,200.d. $95739200.e. $160,876,800.f. $249,782,400. Given v(x) = g(x) (3/2*x^4 + 4x 1), find v'(2). On January 1, a company issued 5%, 15-year bonds with a face amount of $80 million for $59,249,660 to yield 8%. Interest is paid semiannually. What was the interest expense at the effective interest rate on the December 31 annual income statement White light containing wavelengths from 410 nm to 750 nm falls on a grating with 7800 slits/cm. Part APart complete How wide is the first-order spectrum on a screen 3.20 m away Please help...25 points In a proceeds transaction: I. a customer directs that a position be sold; and the funds generated from the sale be used to buy another position II. a customer sells short securities "against the box" III. 2 separate mark-ups or commissions are charged IV. a combined mark-up or commission is charged (05.01) A window is 4 feet and 8 feet tall. A manufacturer wants to use a scale factor of 1.5 to enlarged a window. What will the area of the wind will be after it is enlarged? Braxton's Cleaning Company stock is selling for $33.25 per share based on a required return of 11.7 percent. What is the the next annual dividend if the growth rate in dividends is expected to be 4.5 percent indefinitely? Portage Bay Enterprises has $1 million in excess cash, no debt, and is expected to have free cash flow of $11 million next year. Its FCF is then expected to grow at a rate of 5% per year forever. If Portage Bay's equity cost of capital is 10% and it has 4 million shares outstanding, what should be the price of Portage Bay stock? Evaluate the statement: "If there are sacrifices to be made for human progress, is it not essential to hold to the principle that those to be sacrificed must make the decision themselves?" A standardized exam's scores are normally distributed. In a recent year, the mean test score was and the standard deviation was . The test scores of four students selected at random are , , , and . Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for is nothing. (Round to two decimal places as needed.) The z-score for is nothing. (Round to two decimal places as needed.) The z-score for is nothing. (Round to two decimal places as needed.) The z-score for is nothing. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The unusual value(s) is/are nothing. (Use a comma to separate answers as needed.) B. None of the values are unusual. A news article estimated that only 5% of those age 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05. A random sample of n = 100 people will be selected from this population and p, the proportion of people who prefer to watch online, will be calculated. (a) What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain. i. The sampling distribution of p is approximately normal because np is less than 10. ii. The sampling distribution of p is approximately normal because np is at least 10. iii. The sampling distribution of p is not approximately normal because np is less than 10 iv. The sampling distribution of p is not approximately normal because np is at least 10 v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10. (c) Suppose that the sample size is n = 400 rather than n = 100, what are the values for the mean and standard deviation when n=400? Does the change in sample size affect the mean and standard deviation of the sampling distribution of p? If not, explain why not. i. When the sample size increases, the mean increases. ii. When the sample size increases, the mean decreases. iii. When the sample size increases, the mean stays the same. iv. The sampling distribution is always centered at the population mean, regardless of sample size. v. When the sample size increases, the standard deviation increases. vi. When the sample size increases, the standard deviation decreases. Please help. Ill mark you as brainliest if correct. Find the degree of the monomial.s8tThe degree is