The equation of line m is: 4x + 3y = 2 What is the slope of a line perpendicular to line m?

According to the American Community Survey, 27% of residents of the United States 25 years old or older had earned a bachelor de

oksian1 [2.3K]

a. The reason why this question is a binomial experiment is based on the fact that it is made up of an independent sample, it has a number that is fixed and a probability.

Each event is made up of two outcomes and they are random with the same success rate.

<h3>b. How to solve probability that exactly 5 had a bachelor</h3>

we have the following data n = 12, p = 0.27 and k = 5

We have to use the function to solve electronically

binompdf(n,p,k)

input the values

= binompdf(12,0.27,5)

This gives us

= 0.1255

<h3>(C) Probability that fewer than 5 have bachelor</h3>

We use the formula below

= binompdf(12,0.27,5-1)

This is = 0.7984

D. Probability of at least 5

1 - probability of fewer than 5

= 1 - 0.7984

= 0.2016

How to solve for the Mean = n*p

n = 12 , p = 0.27

Mean = 12*0.27 = 3.24

and

standard deviation = √npq

n = 12, p = 0.27 , q = 1- 0.27

= 0.73

sd = √12*.27*.73

= 1.54

Read more on binomial experiment here:

brainly.com/question/9325204

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3 0

2 years ago

A board game that normally sells for $34.95 is on sale at an 18% discount. What is the sale price of the board game?

fomenos

34.95 x 18%= 6.29

34.95-6.29= 28.66

$28.66 is the sale price

6 0

3 years ago

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Match the vocabulary word with the correct definition. 1. circle circles that have equal radii 2. radius a segment joining the c

Rudik [331]

What are your answer choices ?

8 0

3 years ago

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One week a computer store sold total of 36 computers and external drives. The revenue from these sales were $23490. If computers

yarga [219]

Answer:

X = 18

Y = 18

Step-by-step explanation:

first make two equation like

x + y = 36

1180x + 125y = 23490

from equation one we have

y = 36- x

put in second equation

1180x + 125 (36-x) = 23490

1180x + 4500-125x = 23490

1055x = 23490-4500

x = 18990/1055

x = 18

put this x value in equation 1 to find y value

18+ y = 36

y = 36-18

y = 18

5 0

3 years ago

This equation represents an exponential function that passes through the point (2, 80).

miss Akunina [59]

we know that

If the point belongs to the graph, then the point must satisfy the equation

we will proceed to verify each case

<u>case A.)</u> $f(x)=4(x^{5})$

The point is $(2,80)$

Verify if the point satisfy the equation

For $x=2$ find the value of y in the equation and compare with the y-coordinate of the point

$f(2)=4(2^{5})$

$f(2)=128$

$128\neq 80$

therefore

the equation $f(x)=4(x^{5})$ not passes through the point $(2,80)$

<u>case B.)</u> $f(x)=5(x^{4})$

The point is $(2,80)$

Verify if the point satisfy the equation

For $x=2$ find the value of y in the equation and compare with the y-coordinate of the point

$f(2)=5(2^{4})$

$f(2)=80$

$80=80$

therefore

the equation $f(x)=5(x^{4})$ passes through the point $(2,80)$

<u>case C.)</u> $f(x)=4(5^{x})$

The point is $(2,80)$

Verify if the point satisfy the equation

For $x=2$ find the value of y in the equation and compare with the y-coordinate of the point

$f(2)=4(5^{2})$

$f(2)=100$

$100\neq 80$

therefore

the equation $f(x)=4(5^{x})$ not passes through the point $(2,80)$

<u>case D.)</u> $f(x)=5(4^{x})$

The point is $(2,80)$

Verify if the point satisfy the equation

For $x=2$ find the value of y in the equation and compare with the y-coordinate of the point

$f(2)=5(4^{2})$

$f(2)=80$

$80=80$

therefore

the equation $f(x)=5(4^{x})$ passes through the point $(2,80)$

therefore

<u>the answer is</u>

$f(x)=5(x^{4})$

$f(x)=5(4^{x})$

6 0

3 years ago

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