here is my question hope this works now

Here Is My Question Hope This Works Now

Answers

Answer 1

Answer:

[tex]\boxed{x=1}[/tex] and [tex]\boxed{x=7}[/tex]

Step-by-step explanation:

This quadratic is already factored down to its factors (x - 1) and (x - 7).

Set these equal to zero and solve for x by adding 1 or 7 to both sides of the equation.

[tex]x-1=0\\\\\boxed{x=1}[/tex]

[tex]x-7=0\\\\\boxed{x=7}[/tex]


Related Questions

The average score of all golfers for a particular course has a mean of 70and a standard deviation of 5.Suppose 100golfers played the course today. Find the probability that the average score of the 100golfers exceeded 71.Round to four decimal places.

Answers

Answer:

0.9773

Step-by-step explanation:

Here, we start by calculating the z-scores statistic

Mathematically;

z-score = (x-mean)/SD/√n

From the question, we have;

x = 71, mean = 70, SD = 5 and n = 100

Plugging these values in the equation above, we have;

z-score = (71-70)/5/√100 = 1/5/10 = 1/0.5 = 2

So the probability we want to calculate is that;

P(z > 2)

This is obtainable from the standard normal distribution table

P(z > 2) = 0.97725 which is 0.9773 to 4 decimal places

PLEASE HELP- MATH

simplify the fraction
5bc/10b^2

Answers

[tex]\dfrac{5bc}{10b^2}=\dfrac{\not 5\cdot \not b\cdot c}{2\cdot \not 5\cdot \not b\cdot b}=\dfrac{c}{2b}[/tex]

Answer:

c / ( 2b)

Step-by-step explanation:

5bc/10b^2

Lets look at the numbers first

5/10 = 1/2

Then the variable b

b / b^2 = 1/b

Then the variable c

c/1 = c

Putting them back together

1/2 * 1/b * c/1

c/ 2b

On a map’s coordinate grid, Panthersville is located at (−3, 2), and Heel City is located at (4, 8). Falconton is the midpoint between Panthersville and Heel City. What is the approximate distance from Panthersville to Falconton? (Each unit on the grid represents 1 mile.) A. 3.25 miles B. 4.61 miles C. 5.00 miles D. 9.22 miles

Answers

Answer:

B. 4.61 miles

Step-by-step explanation:

midpoint is (-3+4)/2, (2+8)/2 = (1/2, 5)

distance = √(-3-1/2)² + (2 - 5)² = 4.609772299

Fifteen chaperones went on a field trip with 225 students. Which fraction represents the number of chaperones to students on the field trip

Answers

Answer:

15/225

Step-by-step explanation:

The number of chaperones for the group of students can be represented with a ratio - 15:225 or 15/225.

Because there are 15 chaperones for the 225 students, you can state what the ratio does - for every 225 students, there are 15 chaperones.

However, 15/225 can be reduced to 1/15, so for every 15 students, there is 1 chaperone.

Question 1 (Multiple Choice Worth 4 points)
(08.01) Looking at the spread of your data best fits which step of the statistical process?

Answers

Answer:

The answer is "Analysis the information by chart and number processes".

Step-by-step explanation:

They already have articulated a query and also gathered information unless you are searching only at the distribution of your results. Those who are ready to analyze your results for all are there.

One of two small restaurants is chosen at random with equally likely probability, and then an employee is chosen at random from the chosen restaurant. Restaurant #1 has 10 full-timers and 6 part-timers. Restaurant #2 has 7 full-timers and 9 part-timers. What is the probability that Restaurant #1 was chosen at random, given that a full-time employee was chosen? Your answers should be rounded to 4 digits after the decimal.

Answers

Answer:

P(1 |F) = 10/17

Step-by-step explanation:

Let events

1 = restaurant 1

2 = restaurant 2

F = full-time worker chosen

P = part-time worken chosen

P(1 and F) = 1/2 * 10/16 = 5/16

P(2 and F) = 1/2 * 7/16 = 7/32

P( (1 or 2) and F ) = P(F) = 5/16+7/32 = 17/32

P(1 | F)          Probability of choosing restaurant 1 given a full-time was chosen

= P(1 and F) / P(F)

= 5/16  / (17/32)

= 5/16 * 32/17

= 10 / 17

Given the following hypotheses: H0: μ = 490 H1: μ ≠ 490 A random sample of 15 observations is selected from a normal population. The sample mean was 495 and the sample standard deviation 9. Using the 0.01 significance level:
a.) State the decision rule.
b.) Compute the value of the test statistic.
c.) What is your decision regarding the null hypothesis?

Answers

Answer:

We conclude that the population mean is equal to 490.

Step-by-step explanation:

We are given that a random sample of 15 observations is selected from a normal population. The sample mean was 495 and the sample standard deviation 9.

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

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 490      {means that the population mean is equal to 490}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 490     {means that the population mean is different from 490}

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_1_4[/tex]

where, [tex]\bar X[/tex] = sample mean = 495

            s = sample standard deviation = 9

             n = sample of observations = 15

So, the test statistics =   [tex]\frac{495-490}{\frac{9}{\sqrt{15} } }[/tex]  ~ [tex]t_1_4[/tex]

                                     =  2.152

The value of t-test statistics is 2.152.

Now, at a 0.01 level of significance, the t table gives a critical value of -2.977 and 2.977 at 14 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, 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 490.

Question (1)

(i) Explain Pythagorean theorem in detail.

(ii) What is "Hippacus of Croton"?​

Answers

Answer:

● The pythagorian theorem

The pythagorian theorem is used to find a missing side of a right triangle.

It states that the square of the hypotenus of a right triangle is equal to the sum of the squares of the two other sides.

Let a be the hypotenus, b and c are the othet sides:

☆☆☆☆☆ a^2 = b^2 + c^2☆☆☆☆☆

There are more than 350 way to prove this theorem.

■■■■■■■■■■■■■■■■■■■■■■■■■■

● Hippasus of Croton was a member of the highly-secretive school og Pythagoras in Croton. He is credited in history as the first person to prove the existence of irrational numbers.

Jean Paul is an interior designer who is working with a difficult client. Part of his design requires that he put 11 colored vases in a row on a shelf. He has 3 identical blue vases, 2 identical green vases, 4 identical red vases, a purple vase and a yellow vase. He has put up 4 different arrangements of the vases that his client complained about. As he begins to put up the fifth arrangement, he wonders how many different arrangements he might have to go through before his client complains about all of them. How many different arrangements could Jean Paul make

Answers

Answer:

138600 arrangements

Step-by-step explanation:

Let n = 11

The different arrangements Jean Paul can make = n!/(4!)(3!)(2!)

Hence, 11!/(4!)(3!)(2!) = 1663200/12 = 138600

The quotient of 3 and the cube
of y+2

Answers

Answer:

  [tex]\dfrac{3}{(y+2)^3}[/tex]

Step-by-step explanation:

Maybe you want this written using math symbols. It will be ...

  [tex]\boxed{\dfrac{3}{(y+2)^3}}[/tex]

An expression is ???

Answers

Answer:

s-6

Step-by-step explanation:

difference means subtract

s-6

Express the quotient of z1 and z2 in standard form given that [tex]z_{1} = 6[cos(\frac{2\pi }{5}) + isin(\frac{2\pi }{5})][/tex] and [tex]z_{2} = 2\sqrt{2} [cos(\frac{-\pi }{2}) + isin(\frac{-\pi }{2})][/tex]

Answers

Answer:

Solution : - 2.017 + 0.656i

Step-by-step explanation:

The quotient of the two expressions would be the following,

[tex]6\left[\cos \left(\frac{2\pi }{5}\right)+i\sin \left(\frac{2\pi \:}{5}\right)\right][/tex] ÷ [tex]2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right][/tex]

So if we want to determine this expression in standard complex form, we can first convert it into trigonometric form, then apply trivial identities. Either that, or we can straight away apply the following identities and substitute,

( 1 ) cos(x) = sin(π / 2 - x)

( 2 ) sin(x) = cos(π / 2 - x)

If cos(x) = sin(π / 2 - x), then cos(2π / 5) = sin(π / 2 - 2π / 5) = sin(π / 10). Respectively sin(2π / 5) = cos(π / 2 - 2π / 5) = cos(π / 10). Let's simplify sin(π / 10) and cos(π / 10) with two more identities,

( 1 ) [tex]\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos \left(x\right)}{2}}[/tex]

( 2 ) [tex]\sin \left(\frac{x}{2}\right)=\sqrt{\frac{1-\cos \left(x\right)}{2}}[/tex]

These two identities makes sin(π / 10) = [tex]\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}[/tex], and cos(π / 10) = [tex]\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}[/tex].

Therefore cos(2π / 5) = [tex]\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}[/tex], and sin(2π / 5) = [tex]\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}[/tex]. Substitute,

[tex]6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right][/tex] ÷ [tex]2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right][/tex]

Remember that cos(- π / 2) = 0, and sin(- π / 2) = - 1. Substituting those values,

[tex]6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right][/tex] ÷ [tex]2\sqrt{2}\left[0-i\right][/tex]

And now simplify this expression to receive our answer,

[tex]6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right][/tex] ÷ [tex]2\sqrt{2}\left[0-i\right][/tex] = [tex]-\frac{3\sqrt{5+\sqrt{5}}}{4}+\frac{3\sqrt{3-\sqrt{5}}}{4}i[/tex],

[tex]-\frac{3\sqrt{5+\sqrt{5}}}{4}[/tex] = [tex]-2.01749\dots[/tex] and [tex]\:\frac{3\sqrt{3-\sqrt{5}}}{4}[/tex] = [tex]0.65552\dots[/tex]

= [tex]-2.01749+0.65552i[/tex]

As you can see our solution is option c. - 2.01749 was rounded to - 2.017, and 0.65552 was rounded to 0.656.

bon
Question 21
O pts
The recipe for a s'more is as follows:
1 graham cracker
chocolate bar
2 marshmallows
If you have 10 graham crackers, 7 marshmallows, and 5 chocolate bars, how many
complete s'mores can you make using this recipe?
Question 22
O pts​

Answers

Answer:

3 s'mores

Step-by-step explanation:

If we center our attention on how many marshmallows you need per s'more which is 2 and you only have 7 you can only make 3 with one marshmallow remaining.

if the current time is 10:35 how long until it turns 3:15

Answers

Answer:

10:35-3:15

  5 hours

Q1) Two balls are randomly selected without replacement from a box containing three black balls numbered 1, 2, 3 and two white balls numbered 4 and 5. Assuming that all outcomes are equally likely. Find out the probabilities of following events. a) Probability that the color of second ball is white. b) Probability that the color of second ball is black. c) Probability that both balls are black. d) Probability that both balls are white.

Answers

[tex]|\Omega|=5\cdot4=20[/tex]

a)

[tex]|A|=3\cdot2+2\cdot1=8\\\\P(A)=\dfrac{8}{20}=\dfrac{2}{5}[/tex]

b)

[tex]|A|=3\cdot2+2\cdot3=12\\\\P(A)=\dfrac{12}{20}=\dfrac{3}{5}[/tex]

c)

[tex]|A|=3\cdot2=6\\\\P(A)=\dfrac{6}{20}=\dfrac{3}{10}[/tex]

d)

[tex]|A|=2\cdot1=2\\\\P(A)=\dfrac{2}{20}=\dfrac{1}{10}[/tex]

Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $0.15 per kilogram, and she wants to spend $12.00 in total. Here's a graph that shows a system of equations for this scenario where x is the amount of white corn she buys and y is the amount of yellow corn she buys.

Answers

Answer:

https://brainly.com/question/17155330

Step-by-step explanation:

Question:

Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $0.15 per kilogram, and she wants to spend $12 total.

What does point F represent in this context?

Answer:

Marcelina spends less that the intended amount of money and buy less than enough corn

3
BO
Evaluate the function f(x) = x2 + 4x + 1 at the given values of the independent variable and simplify.
a. f(6)
b. f(x +9)
c. f(-x)

Answers

Answer:

a) f(6)=(6)^2+4(6)+1=65

b)f (x+9)=(x+9)^2+4 (x+9)+1=(x^2+18x+81)+(4x+36)+1=x^2+22x+117

f (-x)=(-x)^2-4x+1

Determine the length of chord BC. 1) 17.45 2) 30.96 3) 67.06 4) 33.53

Answers

Answer:

33.53

Step-by-step explanation:

OB is a radius of the circle, and OC is also a radius of the circle, so both are equal length.  That makes ΔOBC an isosceles triangle.

If we cut ΔOBC in half, the angle formed is 125° / 2 = 62.5°.

Therefore:

sin 62.5 = (x/2) / 18.9

x = 37.8 sin 62.5

x ≈ 33.53

Answer:

33.5

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Answer:

1/2 mi

Step-by-step explanation:

Fairfax to Greenwood is equal to one mile

Now think of it as an equation and substitute 1/2 for fairfax and x for greenwood

1/2 + x = 1

This means that x = 1/2

Because of this from Arcadia to Greenwood it is 1/2 mi

A random sample of size 100 is taken from a population described by the proportion p = 0.60. The probability that the sample proportion is less than 0.55 is ________.

Answers

Answer:hope it helps

Step-by-step explanation:

Result:

0.6

Enlarge

Customize

Plain Text

Number line:

Number line

Rational form:

3/5

Determine if the process appears to be within statistical control. If not, state the reason why not.
a. It does not appear to be within statistical control because there is an upward shift.
b. It appears to be within statistical control.
c. It does not appear to be within statistical control because there is an upward trend.
d. It does not appear to be within statistical control because there is increasing variation.

Answers

Answer:

c. It does not appear to be within statistical control because there is an upward trend.

Step-by-step explanation:

Statistical process control is a method for quality control which employs statistical method to monitor and control process. It ensures operation efficiency and ensuring required specification to reduce wastes in production lines. Here the process variation is out of control because the statistical control has an upward trend.

Which equation is equivalent to StartRoot x EndRoot + 11 = 15?

Answers

Answer:

D  [tex]\sqrt{x} +11=15[/tex]

Step-by-step explanation:

Edge 2020

For the given expression √x + 11 = 15 the value of x will be equal to 16.


What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression √x + 11 =15. The expression will be solved as below,

√x + 11 =15

√x = 15 - 11

√x = 4

Squaring on both sides of the equation,

x = 4²

x = 16

To know more about an expression follow

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Evaluate fx, fy, fz at the given point a) f (x, y z) = x³yz² at the point (1, 2, 3) b) f (x, y, z) = x² - 2xy + 3yxz² at the point (3, 1, -2)

Answers

Answer:

a) (fx, fy, fz) = (54, 9, 12)b) (fx, fy, fz) = (16, 30, 9)

Step-by-step explanation:

a) The partial derivatives of f(x, y, z) = x³yz² are ...

fx = 3x²yz²fy = x³z²fz = 2x³yz

At the given point, these are ...

fx(1, 2, 3) = 3(1²)(2)(3²) = 54fy(1, 2, 3) = (1³)(3²) = 9fz(1, 2, 3) = 2(1³)(2)(3) = 12

__

b) The partial derivatives of f(x, y, z) = x² -2xy +3xyz² are ...

fx = 2x -2y +3yz²fy = -2x +3xz²fz = 3xy

At the given point, these are ...

fx(3, 1, -2) = 2(3) -2(1) +3(1)(-2)² = 16fy(3, 1, -2) = -2(3) +3(3)(-2)² = 30fz(3, 1, -2) = 3(3)(1) = 9

the product of two consecutive positive integer is 306​

Answers

Answer:

[tex]\Large \boxed{\sf 17 \ and \ 18}[/tex]

Step-by-step explanation:

The product means multiplication.

There are two positive consecutive integers.

Let the first positive consecutive integer be x.

Let the second positive consecutive integer be x+1.

[tex](x) \times (x+1) =306[/tex]

Solve for x.

Expand brackets.

[tex]x^2 +x =306[/tex]

Subtract 306 from both sides.

[tex]x^2 +x -306=306-306[/tex]

[tex]x^2 +x -306=0[/tex]

Factor left side of the equation.

[tex](x-17)(x+18)=0[/tex]

Set factors equal to 0.

[tex]x-17=0[/tex]

[tex]x=17[/tex]

[tex]x+18=0[/tex]

[tex]x=-18[/tex]

The value of x cannot be negative.

Substitute x=17 for the second consecutive positive integer.

[tex](17)+1[/tex]

[tex]18[/tex]

The two integers are 17 and 18.

The product of two consecutive positive integers is 306.

We need to find the integers

solution : Let two consecutive numbers are x and (x + 1)

A/C to question,

product of x and (x + 1) = 306

⇒x(x + 1) = 306

⇒x² + x - 306 = 0

⇒ x² + 18x - 17x - 306 = 0

⇒x(x + 18) - 17(x + 18) = 0

⇒(x + 18)(x - 17) = 0⇒ x = 17 and -18

so x = 17 and (x +1) = 18

Therefore the numbers are 17 and 18.

Hope it helped u if yes mark me BRAINLIEST

TYSM!

A blue die and a red die are thrown. B is the event that the blue comes up with a 6. E is the event that both dice come up even. Write the sizes of the sets |E ∩ B| and |B|a. |E ∩ B| = ___b. |B| = ____

Answers

Answer:

Size of |E n B| = 2

Size of |B| = 1

Step-by-step explanation:

I'll assume both die are 6 sides

Given

Blue die and Red Die

Required

Sizes of sets

- [tex]|E\ n\ B|[/tex]

- [tex]|B|[/tex]

The question stated the following;

B = Event that blue die comes up with 6

E = Event that both dice come even

So first; we'll list out the sample space of both events

[tex]B = \{6\}[/tex]

[tex]E = \{2,4,6\}[/tex]

Calculating the size of |E n B|

[tex]|E n B| = \{2,4,6\}\ n\ \{6\}[/tex]

[tex]|E n B| = \{2,4,6\}[/tex]

The size = 3 because it contains 3 possible outcomes

Calculating the size of |B|

[tex]B = \{6\}[/tex]

The size = 1 because it contains 1 possible outcome

Which sequence has a common ratio of 2? a{20, 40, 80, 160, 320, 640, …} b{20, 10, 5, 2.5, 1.25, 0.625, …} c{20, 15, 10, 5, 0, -5, …} d{20, 4, 0.80, 0.16, 0.032, 0.0064, …}

Answers

Answer:

A

Step-by-step explanation:

40/20=2

80/40=2

Therefore the common ration is 2

The correct sequence which has a common ratio of 2 is,

⇒ {20, 40, 80, 160, 320, 640, …}

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The common ratio of sequence is,

⇒ 2

Now, By option 1;

The sequence is,

⇒  {20, 40, 80, 160, 320, 640, …}

Hence, Common ratio = 40 / 20

                                   = 2

And, 80 / 40 = 2

Thus, The correct sequence which has a common ratio of 2 is,

⇒ {20, 40, 80, 160, 320, 640, …}

Learn more about the geometric sequence visit:

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Which of the following is not a real number?

Answers

Answer:

im pretty sure its the -3 one

Step-by-step explanation:

Answer:

The answer is A, Square root of -3 is not a real number.

Step-by-step explanation: You can take the square root of positive numbers, so we can eliminate choices C and D. We can take the square root of 0, which would equal 0, so B is incorrect. However, We cannot take the square root of negative numbers, so choice A is the answer for this question.

Let f(x)=x+8 and g(x)= x2-6x-7 find f(g2)

Answers

Answer:

-7.

Step-by-step explanation:

g(x) = x^2 - 6x - 7

g(2) = 2^2 - 6(2) - 7

= 4 - 12 - 7

= -8 - 7

= -15

f(x) = x + 8

f(-15) = (-15) + 8

= 8 - 15

= -7

Hope this helps!

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below are the weights in pounds of 1111 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that​ sport's league?
278 303 186 292  276 205 208 236 278 198 208
a. Find the mean.
The mean is ? ​pound(s).
​(Type an integer or a decimal rounded to one decimal place as​needed.)
b. Find the median.
The median is ? ​pound(s).
​(Type an integer or a decimal rounded to one decimal place as​needed.)
c. Find the mode.
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A. The​ mode(s) is(are) ? ​pound(s).
​(Type an integer or a decimal. Do not round. Use a comma to separate answers as​ needed.)
B. There is no mode.
d. Find the midrange.
The midrange is ? ​pound(s).
​(Type an integer or a decimal rounded to one decimal place as​needed.)
e. Are the results likely to be representative of all players in that​ sport's league?
A. The results are not likely to be representative because the median is not equal to the mode.
B. The results are likely to be representative because a championship team is most likely representative of the entire league.
C. The results are not likely to be representative because the median is not equal to the mean.
D. The results are not likely to be representative because the championship team may not be representative of the entire league.

Answers

Answer:

Mean= 242.5 pounds

Median= 236 pounds

Mode= 208 and 278 pounds

Range=117 pounds

Mid-range= 58.5 pounds

B. The results are likely to be representative because a championship team is most likely representative of the entire league.

Step-by-step explanation:

278 303 186 292  276 205 208 236 278 198 208

Arranged in ascending order is

186 198 205 208 208 236 276 278 278 292 303

Mean = (186 +198+ 205+ 208 +208 +236 + 276+ 278 +278+ 292 +303)/11

Mean =2668/11

Mean= 242.5 pounds

Median = the middle number

Median= 236 pounds

Mode = highest occuring number(s)

Mode= 208 and 278 pounds

Range= highest number- smallest number

Range=303-186

Range=117 pounds

Mid-range= range/2

Mid-range= 117/2

Mid-range= 58.5 pounds

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were:

1. y=a+bx
2. b=-0.669
3. a=27.41
4. r2=0.760384
5. r=-0.872

Use this to predict the number of situps a person who watches 3.5 hours of TV can do. Round to one decimal place.

Answers

Answer: The correct answer is 19 sit ups.

Step-by-step explanation: Given that the regression equation to find a  a relationship between hours of TV watched per day (x) and number of situps a person can do (y) was done.

The result was

y = ax+b

Correlation coefficient = 0.865

To predict the number of situps a person who watches 3 hours of TV

y = -1.23(3)+22.738

= 19.048

Approximately 19 situps.

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A monopoly's cost function is C = 1.5q^2 + 40 Q and its the demand for its product is p = 320-0.5Q where Q is output, p is price, and C is the total cost of production. Determine the profit-maximizing price and output for a monopoly. The profit maximizing output level is units. (Enter a numeric response using an integer) In comparing cooperative learning to traditional teaching methods, most research consistently favors cooperative learning, provided that two essential conditions are met. According to our text, there should be some group recognition and there must also be: Ignatius Corporation had 7 million shares of common stock outstanding during the current calendar year. It issued ten thousand $1,000, convertible bonds on January 1. Each bond is convertible into 50 shares of common stock. The bonds were issued at face amount and pay interest semiannually at an annual rate of 10%. On June 30, Ignatius issued 100,000 shares of $100 par 6% cumulative preferred stock. Dividends are declared and paid quarterly. Ignatius has an effective tax rate of 25%. Ignatius would report the following EPS data (rounded) on its net income of $20 million: Basic EPS Diluted EPS a. $ 2.77 $ 2.67 b. $ 2.81 $ 2.73 c. $ 2.85 $ 2.67 d. $ 2.81 $ 2.68 PLease answer !!! Find constants $A$ and $B$ such that \[\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}\] for all $x$ such that $x\neq -1$ and $x\neq 2$. Give your answer as the ordered pair $(A,B)$. and Find all values of $t$ such that $\lfloor t\rfloor = 2t + 3$. If you find more than one value, then list the values you find in increasing order, separated by commas. Help please!!! Thank you Germans feared Britain's superior navy, so it attacked England by an air assault known as the Battle of Britain, which attacked both military bases and civilians. Group of answer choices True False Which of the following was NOT a way in which American settlers had a big impact on Native Americans' lives?Select one:a. Introduced diseaseb. Forcibly removed them from their landc. Engaged them in combatd. Introduced religion Here I Sit Sofas has 5,800 shares of common stock outstanding at a price of $81 per share. There are 630 bonds that mature in 17 years with a coupon rate of 5.5 percent paid semiannually. The bonds have a par value of $1,000 each and sell at 93 percent of par. The company also has 4,700 shares of preferred stock outstanding at a price of $34 per share. What is the capital structure weight of the debt? 31. Each day, Talisa exercises by firststretching and then swimmingsome laps, as shown in the table.Make a scatter plot of the totaltime she exercises as a functionof the number of laps she swims.Draw a trend line. A firm's total cost function is given by the equation TC=4000+5Q+10Q and marginal cost is given by the equation MC=5+20Q(A) Write an expression for each of the following cost concepts:a. Total Fixed Costb. Average Fixed Costc. Total Variable Costd. Average Variable Coste. Average Total Cost(B) Calculate the values of marginal cost and the costs in (a)-(e) above for Q=0,1,2,3.(C) Determine the quantity that minimizes average total cost. Demonstrate that the predicted relationship between marginal cost and average cost holds. Which of the following best describes the forced labor practices used bySpanish colonists in the Americas as part of the encomienda system?A. Spanish sailors convinced Europeans to work on American farmsfor a period of time in exchange for passage to the Americas.B. Spanish leaders granted their followers control over all nativesliving in certain areas.C. Spanish missionaries required all non-Christians to serve astemporary slaves until they converted,D. Spanish landowners established enormous plantations that wereworked by African slaves. what do you mean by social problems and evils how is suspense created in a retelling of a myth ? A country's ecological footprint can be calculated by multiplying its population size by the footprint of each individual. Why are some ecologists concerned about the ecological footprint of a country like India which terms are like terms in the following expression ? 6x + 8xy - 3x + 9y + 4x^2 The evergreen forests have a short ____________ season the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area 4x = 2x + 2x + 5(x-x) does this have one solution, no solution or infinite solutions James has $1500 to open a checking account. He can maintain a monthly balance of at least $1000. He plans to use the ATM four times per month at his local branch. He does not overdraft his account and plans to use direct deposit. He also plans to pay his bills online and he averages 8 bills per month. Bank Account Terms and Conditions Bank Account terms and conditions. Bank A is best for James. James wants an account with the lowest fees. Which checking account would be best for James? Account A Account B Account C Account D A researcher would like to test the claim that the mean lung capacity of middle-aged smokers is less than the mean lung capacity of senior citizen nonsmokers. Independent random samples of 34 middle-aged smokers and 34 senior citizen nonsmokers will be used in a hypothesis test of this claim, and it is believed that the standard deviations of the lung capacities in the populations of middle-aged smokers and senior citizen nonsmokers are the same. Which test statistic formula should be used for this test