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2 years ago

8

Suppose you're hiring a new worker for your business. You'd like someone reliable. Suppose you use administer a test to job-seek

ers many other employers use to determine if applicants have this trait. The test is 90% senstitive and 95% specific. If 60 unreliable people apply and 20 reliable people apply, how many positive results will you have

1 answer:

stiks02 [169]2 years ago

5 0

Answer:

You will have 21 positive results.

Step-by-step explanation:

Sensitivity of test:

Is the true positive rate, that is, the proportion of positive results that give positive tests.

Specificity of test:

True negative rate, that is, the proportion of negative results that give negative tests.

90% sensitive, 20 reliable people apply

0.9*20 = 18

95% specific, 60 unreliable people apply

1 - 0.95 = 0.05 of positive results.

0.05*60 = 3

How many positive results will you have?

18 + 3 = 21

You will have 21 positive results.

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What is the value of x?

Molodets [167]

Answer:

x = 4√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

<u>Trigonometry</u>

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use Pythagorean Theorem.

a = 19

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Substitute: 19² + x² = 21²
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3 years ago

I need help with algebra. i will give you 50 points if you will help me.

forsale [732]

$20=v+9-16$ Equation

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3 years ago

A) What is the equation of the line that passes through the given pair points in slope-intercept form?

lesya [120]

A)

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (2, 5.1) and (-1, -0.5). Substitute:

$m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}$

Therefore we have:

$y=\dfrac{28}{15}x+b$

Put the coordinates of the point (-1, -0.5) ot the equation:

$-0.5=\dfrac{28}{15}(-1)+b$

$-0.5=-\dfrac{28}{15}+b$ <em>multiply both sides by 2</em>

$-1=-\dfrac{56}{15}+2b$ <em>add $\dfrac{56}{15}$ to both sides</em>

$\dfrac{41}{15}=2b$ <em>divide both sides by 2</em>

$b=\dfrac{41}{30}$

Answer: $\boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}$

-------------------------------------------------------------------------

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

$m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}$

Therefore we have:

$y=-\dfrac{7}{5}x+b$

Put the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{7}{5}(-2)+b$

$\dfrac{15}{5}=\dfrac{14}{5}+b$ <em>subtract $\dfrac{14}{5}$ from both sides</em>

$\dfrac{1}{5}=b\to b=\dfrac{1}{5}$

Answer: $\boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}$

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3 years ago