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ozzi
2 years ago
5

→WILL GIVE BRAINLIEST←

Mathematics
1 answer:
raketka [301]2 years ago
5 0

Answer:

a. 2,727

b. (85.6%, 87.6%)

Step-by-step explanation:

The percentage of the adults aged 57 through 85 that used at least one prescription medication = 86.6%

a. The expected number of the 3,149 subjects aged 57 through 85 that used at least one prescription medication = 3,149 × 86.6/100 = 2,727.034 ≈ 2,727 (subjects)

b. The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is given as follows;

CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}

Where;

\hat p = 86.6/100= 0.866

n = 3,149

z = The z-value at 90% confidence level = 1.645

Therefore, we get the following confidence interval of the percentage of adults (rounded to one decimal place as required);

\left (0.866 - 1.645\times \sqrt{\dfrac{0.866 \times (1-0.866)}{3,149}}\right) \times  100 \%  \approx 85.6 \%

\left( 0.866 + 1.645\times \sqrt{\dfrac{0.866 \times (1-0.866)}{3,149}} \right) \times 100 \%  \approx 87.6 \%

The 90% confidence interval, of the percentage C.I. ≈ (85.6%, 87.6%).

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If a truck averages 12 miles to the gallon, how many pounds of carbon dioxide are emitted into the atmosphere when the truck tra
77julia77 [94]

Answer: 278.30 pounds (if the gasoline does not contain ethanol)

317.12 pounds (if the gasoline does contain ethanol)

Step-by-step explanation:

If the truck averages 12 miles per gallon, then in 170 miles it consumes:

170mi/12mi = 14.17 gallons.

We know that for one gallon consumed, the carbon dioxide emitted into the atmosphere is 19.64 pounds. (assuming it does not contain ethanol)

Then for 14.17 gallons consumed, we have a emission of:

14.17*19.64 pounds = 278.30 pounds

I the gasoline contains ethanlol, for a gallon the emiision is around  22.38 pounds.

In this case the total emission is:

14.17*22.38 pounds = 317.12 pounds

3 0
3 years ago
A restaurant has an electronic system that randomly selects customers when they pay for their meal to
polet [3.4K]

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • For each customer, 10% probability of receiving a coupon, thus p = 0.1.
  • 2 customers are selected, thus n = 2

The probability that <u>neither receives a coupon is P(X = 0)</u>, thus:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

A similar problem is given at brainly.com/question/25326823

7 0
3 years ago
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Kala will use 13.2 gallons of gas to drive a distance of 286 miles.
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Write the slope-intercept form of the equation of the line described.
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It’s a! hoped this helped you!!!!
7 0
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A recipe for 4 loaves of bread use 3 tablespoons of honey.How much honey is needed for 24 loaves of bread?
frez [133]

Answer:

18 tablespoons of honey

Step-by-step explanation:

Since you need 3 tablespoons of honey for 3 loaves and you know you need 24 loaves you could do...

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You can do this since there's 4 loaves made per 3 tablespoons of honey

Then you could do..

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