Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.

If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is .

The probability that 3 out of the next 5 voters approving the proposal is

Answers

Answer 1

Answer:

Probability that 3 out of the next 5 voters approving the proposal is 0.3125.

Step-by-step explanation:

We are given that the sample probability of the voters approving the proposal is 50% and Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]

where, n = number of trials (samples) taken = 5

            r = number of success = exactly 3

            p = probability of success which in our question is probability of

                  the voters approving the proposal, i.e; p = 50%

Let X = Number of voters approving the proposal

So, X ~ Binom(n = 5 , p = 0.50)

Now, Probability that 3 out of the next 5 voters approving the proposal is given by = P(X = 3)

               P(X = 3)  =  [tex]\binom{5}{3} \times 0.50^{3} \times (1-0.50)^{5-3}[/tex]

                              =  [tex]10 \times 0.50^{3} \times 0.50^{2}[/tex]

                              =  0.3125


Related Questions

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
4x+9

Answers

Answer:

4x+9, 1st degree binomial

Step-by-step explanation:

It's already in standard form

someone help ples alk i need is the first two pleassss​

Answers

table:

x values: 5, 10, 15, 20, 25

y values: 7, 14, 21, 28, 35

Answer:

x values: 5, 10, 15, 20, 25

y values: 7, 14, 21, 28, 35

Step-by-step explanation:

Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 25
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?

Answers

Answer:

If the function is

A(n) = 4n -25

and we wish to get the inverse function N(a)

We let

A(n) = a

n = N(a)

Plugging in the values

a = 4 N(a) - 25

Arranging the equation:

4 N(a) = a + 25

N(a) = (a + 25) /4

The answer is

N(a) = (a + 25) /4

Step-by-step explanation:

The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.

What is an inverse function?

An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever

y = f(x) then x = g(y).

We have:

a(n) = 3n - 15

Rewrite the above equation as

a = 3n - 15

Add 15 to both sides of the equation

3n = 15 + a

Divide through by 3, we get

n = 5 + a/3

Express as function then, we get

n(a) = 5 + a/3

Hence, the inverse function is n(a) = 5 + a/3.

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When using an equivalent fraction to find the percent , why do u write 100 as the denominator?

Answers

Answer:

This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.

Step-by-step explanation:

What’s this answer?

Answers

Answer:

x=2, y=1

Step-by-step explanation:

The left and right sides are equal

7x-2 = 5x+2

Subtract 5x from each side

7x -5x-2 = 5x-5x+2

2x-2 = 2

Add 2 to each side

2x -2+2 = 2+2

2x = 4

Divide by 2

2x/2 = 4/2

x =2

The top and the bottom are the same length

6x+y = 7x-1

6(2) +y = 7(2)-1

12 +y = 14-1

Subtract 12 from each side

12 +y-12 = 13-12

y = 1

Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
PLEASE HELP

Answers

The graph of the absolute value parent function will be V-shaped. Then the correct option is C.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The graph of the absolute value parent function will be V-shaped.

Then the correct option is C.

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Answer:

A,C,D

Step-by-step explanation:

just took the test

11. Dr. Lamb is mixing a solution for his next patient. He has a cylindrical beaker
which is 4 inches across on the inside. The depth of the beaker is 9 inches. If 1
cubic inch of space holds 16.38 milliliters of water, about how many milliliters of
water will the beaker hold?​

Answers

Answer:

34.35 liters

Step-by-step explanation:

will give 100 pts again.
Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 40. Her work is shown below. Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 84 + 40 = 2(42 + 20) What statement best describes Sari’s error?

Answers

Answer: She did not use the factors in correct order therefore she is inncorrects

Step-by-step explanation: I got it right on edge

Answer:

Sari did not use the greatest common factor in the equation.

Step-by-step explanation:

Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x² + y2 = 19.

A. (x - 5)2 + (x - 2)2 = V1

B. (x + 5)2 + (x - 2)2 = 19

C. (x + 2)2 ++5)= 19

D. (+52 + (y + 2)2 = 19

Answers

The Answer is D

Hope this helps

wesley. is very particular about his salad He must have 10 leaves of lettuce for every 4 pieces of carrots If he has 50 leaves of lettuce in his salad how many pieces of carrots will he have

Answers

Answer:

20 carrots

Step-by-step explanation:

4/10

x/50

10 x 5 = 50

4 x 5 = x

x = 20

20/50

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
(4n^2 + -5n + -1) (3n^2)

Answers

Answer:

[tex]12n^4-15n^3-3n^2[/tex]

Step-by-step explanation:

The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:

[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]

[tex]12n^4-15n^3-3n^2[/tex]

Virtual Nerd™: How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?

Answers

Answer:

We use tree diagram by connecting relevant samples

Step-by-step explanation:

thats all

Find the value of the missing angle. Will mark brainliest.

Answers

Answer:

100

Step-by-step explanation:

Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!

Answer:

100

Step-by-step explanation:

Hope this helped!

Daryl performs an experiment where he rolls a number cube 25 times and records the results. Three of the trials
resorted in a 1 being rolled. What can be said about the experimental and theoretical probability of rolling a one?
A. The experimental probability is greater than the theoretical probability.
B. The theoretical probability is greater than the experimental probability.
C The theoretical probability is equal to the experimental probability.
D. Nothing can be said to relate the two, because the number of trials was too small

Answers

Answer: it’s B

Step-by-step explanation:

I just took the test

HELP ME PLEASE!!!

I don't understand....
If possible, please explain!

Answers

Answer:

<B = 107

Step-by-step explanation:

This two triangles are congruent by SSS

So angleB = angleD

We can find angle D by the sum of the angles of a triangle

A+C+D = 180

32+41+D = 180

73+D = 180

D =180-73

D =107

C = B = 107

A batter hits a fly ball. a scout in the stands makes the following observations. TIME (SECONDS) .75 1.5 2 2.75 3.25 4.75 HEIGHT (FEET) 77 133 160 187 194 169 What type of function that best models this data. use a graphing calculator to perform the regression for the best fit equation. write the resulting equation below, rounding to the nearest hundredth. determine the initial velocity of the baseball and the height of the ball when hit. round to the nearest hundredth. calculate how many seconds an outfielder has to position himself for the catch if he intends to catch the ball 6 feet above the ground. show your work and round to the nearest hundredth.

Answers

Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.

Given data set:
6, 2, 7, 12, 6, 1, 7, 1, 9, 7, 8
Find the mean, median, and mode of the data set.

Answers

Answer:

see below

Step-by-step explanation:

6, 2, 7, 12, 6, 1, 7, 1, 9, 7, 8

First put the numbers in order from smallest to largest

1,1, 2,6,6,  7, 7, 7, 8, 9, 12

The mean is adding all the numbers and dividing by the number of numbers

( 1+1+ 2+6+6+  7+ 7+ 7+ 8+ 9+ 12 )/11

66/1 =6

The mean is 6

The median is the middle

There are 11 terms

11/5 = 5.5  so 6 is the middle number

1,1, 2,6,6,    7,      7, 7, 8, 9, 12

7 is the median

Mode is the most often

7 appears three times so it is the mode

In the middle of a basketball court, the circle has a diameter of 5 feet. If
Mrs. Gilbertson's daughter walked around the circle 12 times, how far did
she walk? Use 3.14 for TT. *

Answers

Answer:

The distance that Mrs. Gilbertson's daughter walked was 188.4 feet

Step-by-step explanation:

Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D

Where:

D = 5 ft

Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft

Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.

Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment. Each
group of students needs 3/8 pint of vinegar. Trey draws the number line model and writes the
equation below to help Ms. Nellies figure out how many 3/8-pint servings of vinegar she has.
Are Trey's number line model and equation correct?

Answers

Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
O A. The graph of g(x) is the graph of f(x) shifted 5 units up.
O B. The graph of g(x) is the graph of f(x) shifted 5 units to the right.
O C. The graph of g(x) is the graph of f(x) shifted 5 units down.
O D. The graph of g(x) is the graph of f(x) shifted 5 units to the left.

Answers

Answer: A. Shift 5 units up

Since y = f(x), and we are adding 5 to this, we can say that g(x) is basically f(x) but has been shifted 5 units up.

Example: f(x) = x^2 and g(x) = f(x)+5 = x^2+5. Compare those two graphs and you should see that every point on f(x) has been moved up 5 units.

The statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As the value of function g(x) is given, therefore, the function of g(x) will be 5 units upwards from the function f(x).

An example of this is been attached below.

Therefore, the statement best compares the graph of g(x) with the graph of f(x) is  "The graph of g(x) is the graph of f(x) shifted 5 units up".

Learn more about Function:

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just help me plssssssssss

Answers

Answer:

The perimeter of triangle is 30ft.

Step-by-step explanation:

First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

Let b = 12,

Let c = 13,

[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]

[tex]a = \sqrt{25} [/tex]

[tex]a = 5feet[/tex]

Next you have to find the perimeter of triangle by adding all the sides together :

[tex]perimeter = 5 + 12 + 13[/tex]

[tex]perimeter = 30feet[/tex]

evaluate this expression:
(1/5 x 5) ^5

Answers

Answer:

The answer is x ^5

Find the value of x. Will mark brainliest.

Answers

Answer:

15

Step-by-step explanation:

Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!

Step-by-step explanation:

I think its 5 for x if you do 15/3=5 I think

In the diagram shown, 4 24, and 22 = 23. The sum of the measures of the four
angles is 120°. The measure of 22 is 10° less than the measure of 4. What is the
combined measure of angles 1, 2 and 3?
A. 85°
B. 95°
C. 105
D. 115°

Answers

The correct answer is B

Megan has a bag containing 5 pink marbles, 3 orange marbles, 6 green marbles, and 2 yellow marbles.

Megan started to develop a probability model. Here is the sample space.
S = {P, P, P, P, P, O, O, O, G, G, G, G, G, G, Y, Y}

Part A
put in order where it would go on the table 2/16, 3/16, 5/16, 6/16
Help Megan complete the model by assigning probabilities to the four listed events. Drag each fraction to the correct probability.

Part B
Suppose Megan drew a marble 80 times. Estimate how many times she should expect to draw an orange marble. Megan would draw an orange marble ____
times.

Answers

Step-by-step explanation:

To find the probability

Total marbles = 5 + 3 + 6 + 2 = 16

P pink = 5/ 16

P orange = 3/16

P green = 6/ 16 = 3/8

P yellow = 2/16 = 1/8

Part B when we divide 80 by 16 = 5

So she drew every marble 5 times

So 3 x 5 = 15

She drew the orange marble 15 times

Help me please. Im giving 20 points

A telephone pole is 8 meters tall and a pigeon is standing on the ground 6 meters
from the pole. If the pigeon flies from where it is standing to the top of the
telephone pole, how far will it fly?

Answers

Your answer will be 10m.

We can picture this question as a right-angled triangle, where the pole is one leg, and the distance from the pole to the pigeon on the ground is another leg. Using this, the hypotenuse would be the distance that the pigeon would travel to get from the ground to the top of the pole, presuming it flies in a straight line, and so we can use Pythagoras’ Theorem to find the length of the hypotenuse.

a² + b² = c²

(6)² + (8)² = c²

36 + 64 = c²

100 = c²

10 = c

I hope this helps! Let me know if you have any questions :)

Identify the different methods used by the U.S. to deal with international 100 points
conflicts. Cite evidence from the lesson activities to explain each
method. *​

Answers

I don’t know im not really Sure

Suppose f(x) = x2. What is the graph of g(x)= 1/3f(x)

Answers

Answer:

Step-by-step explanation:

The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).

The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.

The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)

What is the graph of a function?

"The graph of a function f is the set of all points in the plane of the form (x,  f(x))."

For given example,

f(x) = x²

The graph of a function f(x) would be a parabola with vertex at origin (0, 0).

And g(x) = 1/3 f(x)

⇒ g(x) = 1/3 (x²)

We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.

Since for a parabola g(x) the quadratic coefficient is 1/3.

This means the parabola g(x) is wider than the parabola f(x)

So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.

The graph of g(x) is parabola (as shown in following figure)

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please help , 20 points

Answers

Answer:

C

Step-by-step explanation:

10% as a decimal is .10, or .1. This has to be added to the original wage, 1 (100%) so its 1.1

Find the 91st term of the arithmetic sequence 5, -14, -33, ...

Answers

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

The 91st term of the arithmetic sequence is -1705.

What is Arithmetic progression?

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.

Given that an arithmetic sequence 5, -14, -33, ...

nth term of an AP is, a(n) = a + (n-1)d

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is  

a(91) = 5 - 19(91 - 1)

a(91) = 5 - 1710

a(91) = -1705

Hence, The 91st term of the arithmetic sequence is -1705.

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