Non example of infinite solution

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 μ and standard deviation σ and we select appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, 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:

μ = $970

σ = $129

n = 102

Since the sample size is quite large, i.e. n = 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 z-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

A small, upscale boutique examines the income of 10 random households to determine if the community will be a good location for

USPshnik [31]

The correct answer for the question that is being presented above is this one: "D) The boutique will not locate a store in a community where everyone does not make at least $100,000. " The likely reason that the boutique chooses not to locate in the community is that the boutique will not locate a store in a community where everyone does not make at least $100,000.

7 0

3 years ago

Two kilograms of bronze costs £7.20 What is the cost of 300g of bronze

sineoko [7]

We know that
1 Kg is equals to--------------> 1000 g
so
X Kg------------------------> 300 g
X=300/1000------> x=0.30 Kg

if 2 Kg cost--------------> £7.20
0.30 Kg-------------> X
X=0.30*7.20/2------> x=1.08

the answer is
£1.08

3 0

3 years ago

Which person is not living within their means?

Lady bird [3.3K]

The person that is not living within their means is Ella who has maxed out all three of her credit cards but pays the minimum balance each month.

<h3>What does it mean when a person is living above their means?</h3>

If a person is living above their means, the person is spending more money than they have. A person living above their means would most likely borrow in order to afford their lifestyle. A person living above their means would have no amount of savings.

To learn more about credit cards, please check: brainly.com/question/14716152

3 0

2 years ago

X³ by a³ + a³by x³=p x³by a³- a³by ³=q eliminate x

sasho [114]

Answer:

Step-by-step explanation:

$\frac{x^3}{a^3} +\frac{a^3}{x^3} =p\\\frac{x^3}{a^3} -\frac{a^3}{x^3} =q\\adding\\2\frac{x^3}{a^3} =p+q\\\frac{x^3}{a^3} =\frac{p+q}{2} \\substitute~in~first\\\frac{p+q}{2} +\frac{2}{p+q} =p\\\frac{(p+q)^2+4}{2(p+q)} =p\\(p+q)^2+4=2p(p+q)\\p^2+q^2+2pq+4-2p^2-2pq=0\\q^2-p^2+4=0\\q^2=p^2-4$

6 0

2 years ago