The amount of sales of tickets at a movie theatre t (x) varies

Pls help me how do I write 20,484,163 in expanded form I'm only in 2nd grade

mestny [16]

Answer:

twenty thousand four hundred and eight four one hundred and sixty four

7 0

3 years ago

Read 2 more answers

Is it likely that the next 50 Sunday customers will spend an average of at least $40? Explain. Choose the correct answer below

Brrunno [24]

Answer:

B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is P=0.0023.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.</em>

We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least $40.

First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).

Second, the 10% condition: the 50 sales represent less than 10% of all purchases.

Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.

If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least $40.

We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:

$\sigma_M=\dfrac{20}{\sqrt{50}}=\dfrac{20}{7.07}=2.83$

Then, we calculate the z-score

$z=\dfrac{X-\mu_M}{\sigma_M}=\dfrac{40-32}{2.83}=\frac{8}{2.83} =2.83$

The probabilty can be calculated then as:

$P(X_{50}>40)=P(z>2.83)=0.0023$

5 0

3 years ago

When 5 is added to 2 times a number, the result is 45. find the number.

WINSTONCH [101]

A.

let the number be n.
2n+5=45
2n=40
n=20

3 0

3 years ago

The volume of a room that is 23 feet in W , 10 feet in D, and 8 feet in H is?

Solnce55 [7]

The volume of the room is: 1840 ft^3

Step-by-step explanation:

The volume is the capacity of a given figure.

Given

Width = w = 23 feet

Depth = d = 10 feet

Height = h = 8 feet

The formula for volume is:

$V = W*D*H\\= 23*10*8\\=1840\ ft^3$

The volume of the room is: 1840 ft^3

Keywords: Volume, Box

Learn more about volume at:

#LearnwithBrainly

6 0

3 years ago

f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many

Oksanka [162]

Answer:

n=1849

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: