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ivolga24 [154]
3 years ago
13

According to the University of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets retu

rned. A Houston department store sampled 80 items sold in January and found that 8 of the items were returned. (a) Construct a point estimate of the proportion of items returned for the population ofsales transactions at the Houston store. If required, round your answer to three decimal places.
Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer:  0.1

Step-by-step explanation:

Given :  A Houston department store sampled 80 items sold in January and found that 8 of the items were returned.

In other words, sample size : <em>n</em>=1040

Number of items returned : <em>x</em>= 8

Let <em>p</em> be the proportion of items returned for the population of sales transactions at the Houston store.

As per sample , the sample proportion of items returned for the population of sales transactions at the Houston store is :

\hat{p}=\dfrac{x}{n}=\dfrac{8}{80}=0.1

As we know that , <em>the sample proportion is the best estimate of the population proportion.</em>

Therefore,a point estimate of the proportion of items returned for the population of sales transactions at the Houston store is 0.1.

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Each bush costs $18.49

Step-by-step explanation:

Mrs. Kelly creates a garden

  • She buys 15 flowers and 3 bushes for a total cost of $160.32
  • Each bush costs $11.50 more than each flower

We need to find how much each bush costs

Assume that the cost of each flower is $x and the cost of each

bush is $y

∵ She by 15 flowers and 3 bushes for a total cost $160.32

∵ The cost of each flower is $x

∵ The cost of each bush is $y

∴ 15x + 3y = 160.32 ⇒ (1)

∵ Each bush costs $11.50 more than each flower

- That mean equate y by x plus 11.50

∴ y = x + 11.50 ⇒ (2)

Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

∵ 15x + 3(x + 11.50) = 160.32

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∴ 15x + 3x + 34.5 = 160.32

- Add like terms in the left hand side

∴ 18x + 34.5 = 160.32

- Subtract 34.5 from both sides

∴ 18x = 125.82

- Divide both sides by 18

∴ x = 6.99

Substitute the value of x in equation (2) to find y

∵ y = 6.99 + 11.5

∴ y = 18.49

Each bush costs $18.49

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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