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Step2247 [10]
2 years ago
11

In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was 43.76 with standard deviati

on 2.67. The weekly amounts are approximately bell-shaped. (c) Between what two values will approximately 95% of the amounts be?
Mathematics
1 answer:
klemol [59]2 years ago
8 0

Answer:

Between 38.42 and 49.1.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 43.76, standard deviation of 2.67.

Between what two values will approximately 95% of the amounts be?

By the Empirical Rule, within 2 standard deviations of the mean. So

43.76 - 2*2.67 = 38.42

43.76 + 2*2.67 = 49.1

Between 38.42 and 49.1.

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ehidna [41]

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

4!=4\cdot3\cdot2\cdot1=24

possible ways to do it.

4 0
3 years ago
What's 5 divided by 3 1/3?
VMariaS [17]

Answer:

your answer should be 1.5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is 100,000times<br> 1 / 100,000 , using the standard method of multiplication?
Gelneren [198K]
Answer: 100,000.

Explanation: im sorry but thats way too many zeroes for me to write if you want the standard method lol
4 0
2 years ago
Select the correct answer.
sp2606 [1]

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon  = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

6 0
2 years ago
Suppose your grandparents put $500 into an investment that earns 12% interest each year. How much, to the nearest cent, will be
SashulF [63]

Answer

After the 10 years with accrued interest, there will be roughly $1,552.92 in the account.

Explanation

Using the given equation A = P(1 +r)^t

We are given that our initial start is $500.

P = 500

We are further told that the percentage interest gained is 12%, so we need to convert this into a decimal to be able to work with it.

12% / 100% = 0.12

r = 0.12

t is then our time in years

t = 10

A = 500(1 + 0.12)^10

A = 500(1.12)^10

A = 500(3.1058)

A = 1,552.92

After the 10 years with accrued interest, there will be roughly $1,552.92 in the account.


3 0
3 years ago
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