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ANTONII [103]
2 years ago
8

During the past six months, 73.2 percent of U.S. households purchased sugar. Assume that these expenditures are approximately no

rmally distributed with a mean of $8.22 and a standard deviation of $1.10. Find the probability that a household spent less than $5.00 on sugar.
Mathematics
1 answer:
Hitman42 [59]2 years ago
5 0

Answer:

0.0017 is the probability that a household spent less than $5.00 on sugar.

Step-by-step explanation:

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $8.22

Standard Deviation, σ =  $1.10

We are given that the distribution of expenditure is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( household spent less than $5.00 on sugar)

P(x < 5)

P( x< 5) = P( z < \displaystyle\frac{5 - 8.22}{1.10}) = P(z < -2.9272)

Calculation the value from standard normal z table, we have,  

P(x < 5) = 0.0017

0.0017 is the probability that a household spent less than $5.00 on sugar.

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The product of 1and 3/4 is ____________ 3/4.
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Which expressions are equivalent to 3√128x?
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Answer:

24sqrt(2)x

Step-by-step explanation:

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3 years ago
Help please give answer please
Vsevolod [243]

The mean is 8 gerbils and the MAD is 4.29.

<h3>What is the mean?</h3>

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(0 + 3 + 6 + 9 + 11 + 13 + 14) / 7 = 8

What is the MAD?

MAD =  ∑ l x - m(x) l

| (0 - 8) + (3 - 8) + (6 - 8) + (9 - 8) + (11 - 8) + (13 - 8) + (14 - 8)| / 7 = 4.29

To learn more about mean, please check: brainly.com/question/25842202

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3 0
2 years ago
Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D
Lunna [17]

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

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

In this problem:

  • 3 shirts from a set of 17.
  • Then, 3 shirts from a set of 20.
  • They are independent, hence, to find the total, we multiply both combinations.

T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

5 0
2 years ago
at a grocery store, an uncooked beef roast is on sale for $5.99/lb. At the same grocery store, prepared roast beef is available
-Dominant- [34]

Answer:

$7.58/lb

Step-by-step explanation:

raw roast: $5.99 per lb

deli roast: $2.99 for 100g

We know the price per lb of the raw roast.

Let's find the price per lb of the deli roast.

1 lb = 454 grams

454 grams / 100 grams = 4.54

1 lb is 4.54 times 100 g

If we multiply the price of 100g of deli roast by 4.54, we get teh price per lb.

$2.99/lb * 4.54 = $13.57/lb

raw roast: $5.99/lb

deli roast: $13.57/lb

difference in price of 1 lb: $13.57 - $5.99 = $7.58

Answer: $7.58/lb

3 0
3 years ago
Read 2 more answers
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