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Olegator [25]
3 years ago
15

Fatima conducts emissions inspections on cars. She finds that 6%, percent of the cars fail the inspection. Let C be the number o

f cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.
Required:
Find the probability that the first failed inspection occurs on Fatima's 5th inspection.
Mathematics
1 answer:
Valentin [98]3 years ago
4 0

Answer:

.05

Step-by-step explanation:

khan

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-1.22

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Find the equation of a line that is parallel to y = x + 1 and passes through the point (3,-4).
White raven [17]

Given:

The equation of a line is:

y=x+1

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

y=mx+b             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

y=x+1                ...(ii)

On comparing (i) and (ii), we get

m=1

Slope of the given line is 1.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.

The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:

y-y_1=m(x-x_1)

y-(-4)=1(x-3)

y+4=x-3

Subtracting 4 from both sides, we get

y=x-3-4

y=x-7

Therefore, the equation of the required line is y=x-7.

4 0
3 years ago
A wise man once said, “400 reduced by 3 times my age is 163.” What is his age? ( I need the step by step equation to solve this)
Ainat [17]

Answer: the wise man is 79

Step-by-step explanation:

400 - 3x = 163

400–163 =3x

237 = 3x or 3x = 237 or x = 79…

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3 years ago
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