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JulijaS [17]
3 years ago
5

79% of 67 miles is what?

Mathematics
1 answer:
vovangra [49]3 years ago
4 0
To do it without a calculator:

10% of 67 is 6.7
6.7 x 8 is 53.6 (80%)
1% of 67 is .67
53.6 - .67 is 52.93 (79%)
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A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye
Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{x}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

 \sigma_{x}=\sqrt{n}\sigma

The information provided is:

<em>μ</em> = $970

<em>σ</em> = $129

<em>n</em> = 102

Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

P (\sum X \leq  100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}

                              =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

6 0
3 years ago
Cecilia ordered 5 pizza for a group of friends. Each pizza had 8 slices. All but 3 slices were eaten. How many slices were eaten
UkoKoshka [18]

Answer:

37 (hope this helps :)

Step-by-step explanation:

8 slices per pizza

5 pizzas

8 * 5 = 40

40 - 3 = 37

37 slices of pizza were eaten. and 3 slices were not eaten

3 0
3 years ago
If x is 5 what is the value of 4x?
Bond [772]

Answer:

The answer is 20

Step-by-step explanation:

This is because 4(5)= 20

Hope this helps :)

7 0
3 years ago
Read 2 more answers
Nina thought of a number. She called her number y. She added 14 to her number, divided the result by 6, and she got 12. What was
Shalnov [3]
Y=58

y/6=12
y=72
72-14=58

3 0
3 years ago
Justin picked out 300300300 dollars worth of clothing (regularly priced) at Mary's Department Store. As part of a promotion, he
swat32

hjouStep-by-step explanation:

m  lll,

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3 years ago
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