Hailey made the following statement: "It is impossible t o build a rectangular prism with a volume of 40 units 3 if one side measures 5 units." Key represents 1 cubic unit Select the two figures below that prove Hailey's statement is false.​

Answer:

0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6.

This means that [tex]\mu = 30, \sigma = 6[/tex]

5 consecutive weekdays.

This means that [tex]n = 5, s = \frac{6}{\sqrt{5}} = 2.6832[/tex]

What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?

This is 1 subtracted by the pvalue of Z when X = 35.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{35 - 30}{2.6832}[/tex]

[tex]Z = 1.86[/tex]

[tex]Z = 1.86[/tex] has a pvalue of 0.9686

1 - 0.9686 = 0.0314

0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount

Answer:

exposed is another word for endangered

Answer:

no

Step-by-step explanation:

I dont know how to explain but I did the work and it was clearly not a right angle

Answer:

Step-by-step explanation:

48 is preimeter

96 is the area

Make me brainliest

Answer:

angle klj and angle poq :)

Step-by-step explanation:

Answer:

28 hotdogs were sold and 80 sodas were sold.

'-''-'--'-'-'--''--'-'--'

Answer:

the median is the middle number find the middle number of these and there's your answer

Answer:

1420 is the Median

Step-by-step explanation:

Answer:

A) Decreasing

Step-by-step explanation:

By graphing the logarithmic equation, we can see that as the x value increases, the y value decreases. Therefore, we say that the graph is decreasing.

Answer:

decreasing

Step-by-step explanation:

Answer:

33k+32

Step-by-step explanation:

Assign Variables :

Alicia- A

Jamar- J

Tia- T

Write equations :

A = (3k+4)

J= 2(3k+4)

T=4(5+6k)

Simplify equations:

A= 3k+4

J= 6k+8

T= 20+24k

Add:

(3k+4)+(6k+8)+(20+24k)

3k+6k+24k+8+20+4

33k+32

I hope this helps :)

Answer:

9?

Step-by-step explanation:

Sorry I don't know I think its 9 though

Answer:

$25.35

Step-by-step explanation:

You just take off the percentage from the original price to get your final answer.

Hope this helps c:

Answer:

391,248 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since pqrs is a quadrilateral

Total interior angle = 360 (keep in mind)

>PSR = 360-(65+130+95)

>PSR= 360-290=  70

* PST is a straight line :- >PSR + Y = 180 (sum of angle on a straight line)

:. Y= 180-70= 110.

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

d

Step-by-step explanation:

Answer:

(2,3)

Step-by-step explanation:

4(3)-(2)=10

12-2=10

The answer is (2,3)

Answer:

1

Step-by-step explanation:

Answer:

Multiplying each side by 5⇒ 15: 55

Multiplying each side by 10⇒30:110

Step-by-step explanation:

Answer:  3:11= 30:110 and 6:22

Step-by-step explanation:

30:110 is multipled by 10 and 6:22 is multiplied by 2!

It can be divided or multiplied by whatever number you want! If you want to divide it by one number, make sure that it will be without the remainder because it’s equivalent! I hope I helped you!

Answer:

1: 107°

2: 73°

Line b and a is same. So, straight line is 180°. hence, 180-107=73

Answer:

m=1, m= -3

t=3, t=2

p= -0.4, p= -2

a= 3, a= -8

x=0, x= -2.5

Answer:

I hope this helps a little bit.

It Is Not Fake

It Got Answers Promise

Answer:

A. Normal

B. Between 40.08 minutes and 43.92 minutes.

C. About 95 percent of these confidence intervals will contain the true population mean number of minutes of concentration and about 5 percent will not contain the true population mean number of minutes of concentration.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Question A:

By the Central Limit Theorem, a normal distribution.

Question B:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{12}{\sqrt{150}} = 1.92[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.92 = 40.08 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.92 = 43.92 minutes

Between 40.08 minutes and 43.92 minutes.

Question C:

x% confidence interval -> x% will contain the true population mean, (100-x)% wont.

So, 95% confidence interval:

About 95 percent of these confidence intervals will contain the true population mean number of minutes of concentration and about 5 percent will not contain the true population mean number of minutes of concentration.

Answer:

sorry where is the parallelogram

Answer:

your question is imcomplete

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

y = 1/4x + 4

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

45 x 45 - 36 x 36 = 729   the square root of 729 is 27

Answer:

a = 27 m is the answer.

Step-by-step explanation:

a = ?

b = 36 m

c = 45 m

According to the Pythagoras theorem,

a² + b² = c²

a² + 36² = 45²

a² + 1296 = 2025

a² = 2025 - 1296

a² = 729

a = 27 m

∴ a = 27 m is the length of the missing leg.

Answer:

x=6.5

Step-by-step explanation:

I got the x- intercept as 6.5 because I found the x value when y equals 0.

0=2+2x-15

Next, I added 2+-15 and got -13.

0=2x-13

Then, I added 13 to both sides so that I could have x by itself.

13=2x

Next, I divided 2 on both sides so I could find the value of x.

6.5= x

In conclusion, the x- intercept of f(x)=2+2x-15 is 6.5.  

Answer:

20

Step-by-step explanation: