A game is played with a spinner on a circle, like the minute hand on a clock. the circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50, and so on. the player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. if 100 players are selected randomly, how many players are expected to get between 42 and 72 seconds to solve the puzzle?

Answers

Answer 1

Answer:

This is marked evenly from 0 to 100

This means that the total number of possible outcomes is:

D = 101

and the set of possible outcomes is:

O = {0, 1, 2, 3, ..., 100}

Now, the probability to geting between 42 and 72 seconds is equal to the quotient between the number of outcomes between 42 and 72, and the total possible outcomes.

The number of outcomes between 42 and 72 is:

72 - 42 = 30

Then the probability is:

P = 30/101 = 0.297

Then, out of the 100 players, we can expect that:

0.297*100 = 29.7 ≈ 30

(we rounded to the next whole number)

30 of them get between 42 and 72 seconds.


Related Questions

given that -6,-6 is on the graph of f x find the corresponding point for the function f(3/4x)

Answers

Answer:

The corresponding point is (-8, -6).

Step-by-step explanation:

Given that

(-6,-6) lies on the graph of [tex]f(x)[/tex]

A function is represented in the form:

[tex]y = f(x)[/tex]

i.e. (-6,-6) means value of x = -6 is put and value y came out as -6.

[tex]f(-6) = -6[/tex]

Now, we have to find the corresponding point on [tex]f(\frac{3}{4}x)[/tex].

We know the value of [tex]f(-6)[/tex]

Let us find the value of x where [tex]\frac{3}{4}x[/tex] becomes equal to -6

[tex]\dfrac{3}{4}x=-6\\\Rightarrow 3x=-24\\ \Rightarrow x =-8[/tex]

So, let us put value of [tex]x = -8[/tex] in [tex]f(\frac{3}{4}x)[/tex]:

[tex]f(\frac{3}{4}\times (-8))\\\Rightarrow f(3\times (-2))\\\Rightarrow f(-6) = -6[/tex](as per given statement)

So, the corresponding point is (-8, -6).

Miguel's basketball team is down seven points from their opponents. If they make a two-point field goal, how many more points do they need to tie the game? Justify your answer by writing a number sentence to represent this situation.

Answers

Answer: Answer is the steps

Step-by-step explanation:

If they are down by seven points then it means that they are losing by 7 points.And fortunately they made  two-point field goal so they will now be down by 5 points. Which means that they need 5 more points to tie the game.

For example,

-7 represents the points that they are down by and they made 2  points so

-7 + 2 = -5   which means that they are now down by 5 points to make a tie game.

Answer:-7+2+5=0

Step-by-step explanation:

I promise i will mark as brainiest

Answers

Answer:

The answer is option B

Step-by-step explanation:

The question above means that how many numbers can divide 2003 with a remainder of 23

That means all the numbers are less than 2003

The number of numbers that have this property are only

22 numbers

Hope this helps you

PLEASE HELP ASAP!!!! A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows: First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0 Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2 Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3 Which is the best measure of center for second period, and why? Mean, because there are no outliers that affect the center Median, because there is one outlier that affects the center Interquartile range, because there is one outlier that affects the center Standard deviation, because there are no outliers that affect the center

Answers

Answer:

Answer: D : Median, because there is 1 outlier that affects the center

Step-by-step explanation:

Mean and median terms are use to measure the central tendency in a data set.

Mean is the best measure of center if there is no outlier present in the data otherwise median is the best measure of center if there is outlier present because outliers effects the means value of a data but not the median value.

In the third period, there is an outlier present as 8 that affects the center, then the best measure of center for third period must be Median.

What is the value of x?
7
7 square root 2
14
14 square root 2

Answers

Answer:

14

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , thus

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 7[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 7 × 2 = 14

Answer:

x = 14i hope it helps :)

Step-by-step explanation:

[tex]Hypotenuse = x \\Opposite = 7\sqrt{2} \\\alpha = 45\\\\\Using \: SOHCAHTOA\\Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Sin 45 = \frac{7\sqrt{2} }{x} \\\\\frac{\sqrt{2} }{2} = \frac{7\sqrt{2} }{x} \\\\\sqrt{2x} = 14\sqrt{2} \\\\\frac{\sqrt{2x} }{2} = \frac{14\sqrt{2} }{2} \\x = 14[/tex]

Work out the mean for the data set below: 3, 5, 4, 3, 5, 6 Give your answer as a fraction. answer

Answers

Answer:

4 1/3

Step-by-step explanation:

3 + 5 + 4 + 3 + 5 + 6 = 26

26/6 = 4 2/6 (4 1/3)

Answer:

13/3

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of terms

( 3+5+4+3+5+6) /6

26/6

Divide top and bottom by 2 to simplify the fraction

13/3

WILL GIVE BRAINLIEST PLEASE ANSWER

Answers

The answer is D. 972 male students

Answer:

D) 972

Step-by-step explanation:

2160*9/20 = 19440/20

= 972

The length of a rectangle is seven inches more than its width. Its area is 540 square inches. Find the width and
length of the rectangle.​

Answers

Answer: 20 is the width and 27 is length

En la figura adjunta se muestra un estuche de brocas de acero que sirven para perforar paredes de cemento. Las brocas están numeradas de menor a mayor tamaño y las dimensiones están dadas en pulgadas.


En la figura, por falta de espacio, se dan solo las dimensiones de las brocas 1 y 12. Se sabe que las demás brocas son de 9/16 de pulgadas, 3/16 de pulgada, 7/16 de pulgada, 5/16 pulgada, 11/16 pulgada, 1/4 pulgada, 3/8 pulgada, 1/2 pulgada, 5/8 pulgada y 1/8 de pulgada.


Identifica la medida de las brocas 2 a la 11 en pulgadas y ordénalas de menor a mayor tamaño.

Answers

Answer:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Step-by-step explanation:

Para la identificación de las brocas tenemos dos consideraciones:

1.- Fracciones de igual denominador son mas grandes en orden creciente según vayan creciendo los numeradores, de tal forma que entre

9/16   3/16    7/16     5/16   11/16    el orden es como sigue ( de menor a mayor)

3/16     5/16     7/16     9/16     11/16

2.- Las fracciones con denominadores distintos pueden llevarse a denominador común /16  amplificando la fracción es decir por ejemplo

1/4   =  1*4/4*4   =  4/16

Con ese procedimiento las convertimos todas al caso señalado en el punto anterior y ordenamos

1/4   = 4/16

3/8  = 6/16

1/2  = 8/16

5/8 =  10/16

1/8  =  2/16

Entonces hay diez brocas la primera será 1/16 y la número 12   12/16

Y finalmente el orden es:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Quina is cooking fish for a group of travelers quina has 78 huge fish and each fish can feed 3 travelers. how many travelers can Quina feed?

Answers

Answer:

234 people

Step-by-step explanation:

1 fish = 3 people

Multiply each side by 78

1*78 = 3 *78

78 fish = 234 people

Answer:

234 traveling people

Step-by-step explanation:

78 times 3 equals 234

Find the slope and the y-intercept of the graph of the linear equation.
y=-7x+2
A) slope: - 1 y-intercept: 2
B) slope: 2; y-intercept: -7
C) slope: -7; y-intercept: 2
D) slope: 2; y-intercept: -7

Answers

Answer:

c) Slope;-7;y-intercept:2

Step-by-step explanation:

Tickets for the front section to a rock concert cost $25 each. The back section tickets sold for $15 each. If 400 tickets were sold for a total revenue of $7,500, how many of each each type of ticket were sold? 1. Front – 145, Back – 255 2. Front – 140, Back – 260 3. Front – 155, Back – 245 4. Front – 150, Back – 250

Answers

Answer:

150 front tickets and 250 back tickets

Step-by-step explanation:

make 2 equations 25x + 15y = 7500 and x + y = 400 and do substitution on a graphing calculator or by your self.

let me know if this helps

What is -13/20 in decimal form

Answers

Answer:

-0.65

Step-by-step explanation:

Step 1: Write out fraction

-13/20

Step 2: Evaluate fraction

-13/20 = -0.65

How do you write The product of 2 and a cube of a number

Answers

ANSWER IS ATTACHED

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                              PEACE!

Plz help: Round the numbers to estimate the quotient. 29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction Which numbers should be used? ÷ The estimated quotient is...

Answers

Answer:

29 divided by 5

quotient is 5 4/5

Step-by-step explanation:

I just took that test from school

Answer: 29 divided by 5. 5 4/5

Step-by-step explanation:

I have proof plz mark me brainliest

Based on the cladogram, which characteristics are common to amphibians, lemurs, and humans? vertebrae, tetrapod, hair amniotic egg, hair, biped tetrapod, vertebrae tetrapod, hair

Answers

Answer:

C.      did the assignment

Step-by-step explanation:

edge 2021

Answer:

C. Tetrapod, vertebrae

Step-by-step explanation:

The graph of g(x) is a translation of the function f(x)=x^2. The vertex of g(x) dislocated five units above and seven units to the right of the vertex of f(x). which equation represents g(x)

Answers

[tex]f(x)[/tex] passes through origin, i.e. $(0,0)$

if you move 5 units up, it should pass through $(0,5)$

so you'll add 5 to $y$ i.e. $y+5=x^2$ this satisfies $(0,5)$

and to move right, it should pass through $(7,0)$ so you'll subtract $7$ from $x$ i.e. $y=(x-7)^2$

now combine both translations

$g(x)=(x-7)^2-5=x^2-14x+45$

What is the image of (-1,-4) after a reflection over the line y=-x

Answers

Answer:

[tex]\huge\boxed{(4,1)}[/tex]

Step-by-step explanation:

The point is (-1,-4)

It is reflected over y = - x, So, the coordinate will be like: ( -y , -x )

So, when it is reflected over y = -x , it becomes (4,1)

When a point is reflected, it must be reflected over a line.

The image of (-1,-4) after a reflection over the line y=-x is (4,1).

The point is given as:

[tex]\mathbf{(x,y) = (-1,-4)}[/tex]

The rule of reflection over line y = -x is:

[tex]\mathbf{(x,y) \to (-y,-x)}[/tex]

So, we have:

[tex]\mathbf{(x,y) \to (-(-4),-(-1))}[/tex]

[tex]\mathbf{(x,y) \to (4,1)}[/tex]

Hence, the image of (-1,-4) is (4,1).

Read more about reflections at:

https://brainly.com/question/938117

Susan wants to buy cherries for a party. She has $8.00 to spend. Cherries are $2.75/kg. How many kilograms of cherries can Susan buy? Round to the nearest tenth. Use complete sentences to describe how you would solve this question. Be sure to explain how you round the answer.

Answers

Answer: you would have to divide $8.00/$2.75 and it would equal $2.90

Step-by-step explanation: This may help and if it does please thank me in the comments.

Answer:

Susan can purchase 2.9 kg of cherries.

Step-by-step explanation:

We need to take the amount of money available and divide by the cost of cherries per kilogram

$8.00 / $2.75  per kg

2.909090909 kg

Rounding to the nearest tenth, the solution is 2.9 kg

Susan can purchase 2.9 kg of cherries.

Simplify this equation -8a-5a

Answers

Answer:

-13a

Step-by-step explanation:

Since -8 and -5 have like variables, you can subtract them. -8-5 is -13, so the answer is -13a.

Answer:

-13a

Step-by-step explanation:

These two numbers are already like terms, so you can subtract it easily.  

First, don't look at the a.

-8-5= -13 because if something is negative and gets subtracted, that means it'll still be negative.

Now that we now it equals -13, we can add the variable a back onto the answer.  We get -13a.  

find the missing part of the proportion 12/x = 3/7 x= _

Answers

Answer:

x = 28

Step-by-step explanation:

12/x = 3/7

Using cross products

3x = 12*7

3x = 84

Divide by 3

x = 28

Will Give Brainliest, answer ASAP x=
y=

Answers

Answer:

x = 21.25 , y = 5

Step-by-step explanation:

In a parallelogram

Consecutive angles are supplementary

Opposite angles are congruent, thus

125 + 4x - 30 = 180

4x + 95 = 180 ( subtract 95 from both sides )

4x = 85 ( divide both sides by 4 )

x = 21.25

8y² = 125 ( divide both sides by 5 )

y² = 25 ( take the square root of both sides )

y = [tex]\sqrt{25}[/tex] = 5

One of the students in the class scored 100 on the midterm but got overconfident, slacked off, and scored only 15 on the final exam. No other student in the class "achieved" such a dramatic turnaround. If the instructor decides not to include this student’s scores when constructing a new regression model, will the slope of the new line increase or decrease?

Answers

Answer:

Increase

Step-by-step explanation:

Since your not including the bad mark, it'd increase.

y=-2x+4 missing value

Answers

Answer:

y=-2x+4

x | y

0 | 4

2 | 0

Step-by-step explanation:

after allowing 20 percent discount on the marked price of a radio 15 percent vat is levied on it , if its price become rs 22080 ,what amount was levied in the vat​

Answers

Answer:

Step-by-step explanation:

Hello, let's say that the price was P, a real number.

After 20% discount it become P - 20% * P = P* (1-20%) = P * (1 - 0.2)

= P * 0.8

And then we take 15% for the VAT, the new price become P * 0.8 * ( 1 + 15%)

= P * 0.8 * 1.15

And this is equal to 22080, so

P * 0.8 * 1.15 = 22080

and the amount of the VAT is P *0.8 * 0.15

[tex]=\dfrac{22080}{1.15}*0.15=2880[/tex]

Hope this helps.

Thank you.

If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0

Answers

It depends on how b approaches 0

If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.

On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.

The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.

Which equation does NOT graph a line? A) y = 5 B) y = -3x3 C) y = 2/3 x D) y = −8x That 3 in b is an exponent btw

Answers

Answer:b

Step-by-step explanation:

Rocket science

Please answer this question now

Answers

Answer:

m∠C = 102°

Step-by-step explanation:

The above diagram is a cyclic quadrilateral

Step 1

First we find m∠B

The sum of opposite angles in a cyclic quadrilateral is equal to 180°

m∠D + m∠B = 180°

m∠B = 180° - m∠D

m∠B = 180° - 80°

m∠B = 100°

Step 2

Since we have found m∠B

We can proceed to find the Angle outside to circle

m∠CDA = 2 × m∠B

m∠CDA = 2 × 100°

m∠CDA = 200°

m∠CDA = m∠CD + m∠DA

m∠DA = m∠CDA - m∠CD

m∠DA = 200° - 116°

m∠DA = 84°

Step 3

Find m∠DAB

m∠DAB = m∠DA + m∠AB

m∠DAB = 84° + 120°

m∠DAB = 204°

Step 4

Find m∠C

It you look at the cyclic quadrilateral properly,

m∠DAB is Opposite m∠C

Hence

m∠C = 1/2 × m∠DAB

m∠C = 1/2 × 204

m∠C = 102°

Therefore ,m∠C = 102°

A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration

Answers

Answer:

acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]

Step-by-step explanation:

The acceleration is the change in velocity per unit of time.

Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:

[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]

so in this case the acceleration becomes:

[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]

What is the recursive definition for 25,20,15,10?

Answers

Answer:

aₙ = 30 - 5n

Step-by-step explanation:

25,20,15,10, ...

We see from the given series that it is AP with:

First term = 25Common difference = -5 and it is decreasing series

Then formula is:

aₙ= a₁ + (n-1)daₙ= 25 + (n-1)(-5) aₙ= 25 - 5n + 5aₙ = 30 - 5n
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