The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is requested to send 4 employees who have positive indications of asbestos on to a medical center for further testing. If 55% of the employees have positive indications of asbestos in their lungs, find the probability that 11 employees must be tested in order to find 4 positives. If each test costs 300 Swedish kronor, find the expected value of the total cost of conducting the tests necessary to locate the 4 positives. Swedish kronor Find the variance of the total cost necessary to locate the 4 positives.

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Answer 1

Answer:

Answer:

attached below

Step-by-step explanation:

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I need help with this problem

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9514 1404 393

Answer:

(a) 4 in²

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

V = Bh

where B is the area of the base, and h is the height of the prism.

We can find the area of the base by solving for B.

B = V/h

B = (12 in³)/(3 in)

B = 4 in² . . . . . . . . . . matches the first choice

For many years, businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year. Suppose the survey was based on a sample of 800 companies likely to require higher employee contributions for health care coverage this year relative to last year. At 95% confidence, compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answer to four decimal places.) Compute a 95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answers to four decimal places.)

Answers

Answer:

95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.

(0.5868 , 0.6532)

Step-by-step explanation:

Step(i):-

Given the survey was based on a sample of 800 companies

Given size 'n' = 800

A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year

sample proportion

p⁻ = 0.62

Step(ii):-

The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage.

$M.E= Z_(0.05) \sqrt{(p^(-) (1-p^(-)) )/(n) }$

$M.E= 1.96\sqrt{(0.62 (1-0.62 )/(800) }$

M.E = 0.017 X 1.96

M.E = 0.03

Step(iii):-

95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.

$(p^(-) - Z_(0.05) \sqrt{(p^(-) (1-p^(-)) )/(n) } , p^(-) +Z_(0.05) \sqrt{(p^(-) (1-p^(-)) )/(n) })$

$(0.62 - 1.96\sqrt{(0.62 (1-0.62 )/(800) } ,0.62+1.96\sqrt{(0.62 (1-0.62 )/(800) }$

( 0.62 - 0.0332 , 0.62+0.0332)

(0.5868 , 0.6532)

Final answer:

The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage is approximately 0.0245. The 95% confidence interval for the proportion of companies likely to require higher employee contributions is (0.5955, 0.6445).

Explanation:

To compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage, we can use the formula:

Margin of error = Z * sqrt((p * (1-p)) / n)

where Z is the Z-score corresponding to the desired confidence level (95% in this case), p is the proportion of companies likely to require higher employee contributions, and n is the sample size. Substituting the given values into the formula, we have:

Margin of error = 1.96 * sqrt((0.62 * (1-0.62)) / 800)

Calculating this value gives us a margin of error of approximately 0.0245.

To compute the 95% confidence interval for the proportion of companies likely to require higher employee contributions, we can use the formula:

Confidence interval = p ± margin of error

Substituting the given values into the formula, we have:

Confidence interval = 0.62 ± 0.0245

Calculating this value gives us a confidence interval of (0.5955, 0.6445).

Learn more about Margin of error for a proportion here:

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triangle NOP is similar to triangle QRS. Find the measure of Side SQ. Round your answer to the nearest tenth if necessary

Answers

The measure of side SQ from the given similar triangles is 40.9 units.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle NOP is similar to triangle QRS.

Since the triangles are similar,

NP/SQ = NQ/QR

10/SQ = 13/53.2

13SQ=532

SQ=532/13

SQ=40.9 units

Therefore, the measure of side SQ is 40.9 units.

To learn more about the similar triangles visit:

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Answer:

Step-by-step explanation:

Which of the following correctly displays 1/2 r - t

Answers

I dont have an answer but these are the choices for this question

Answer:

Where is the following for the answers

Need help due 3 minutes!!!!!

Answers

Answer:

in standered form -

3x²+4x−14=0

Step-by-step explanation:

Hope this helps :)

Which technique is most appropriate to use to solve each equation?Drag the name of the technique into the box to match each equation

Answers

(x+3)(x+2)=0 zero product property
x^2+6=31 square root property

Answer:

Step-by-step explanation:

(A) The given equation is:

$(x+3)(x+2)=0$

The above equation can be solved using the zero product property which states that if $ab=0$ , then either $a=0$ or $b=0$ or both can be equal to zero, therefore the solution of the above equation will be:

$x=-3$ or $x=-2$ .

(B) The given equation is:

$x^2+6=31$

The above equation can be solved using the square root property which states that we isolate the $x^2$ term and take the square root of the number on the other side of the equals sign, therefore the solution of the above equation will be:

$x^2=31-6$

$x^2=25$

$x={\pm}5$ .

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