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Answer:

The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.

Step-by-step explanation:

A website would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes.

At the null hypothesis, we test if the mean is of 8 minutes, that is:

[tex]H_0: \mu = 8[/tex]

At the alternate hypothesis, we test if the mean is of more than 8 minutes, that is:

[tex]H_a: \mu > 8[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

8 is tested at the null hypothesis:

This means that [tex]\mu = 8[/tex]

A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes.

This means that [tex]n = 37, X = 8.7, \sigma = 2.5[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{8.7 - 8}{\frac{2.5}{\sqrt{37}}}[/tex]

[tex]z = 1.70[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 8.7, which is 1 subtracted by the p-value of z = 1.7.

Looking at the z-table, z = 1.7 has a p-value of 0.9554

1 - 0.9554 = 0.0446

The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.

Answer:

1) <SZR    

2) n=40

Step-by-step explanation:

Sorry I can't explain but I got these answers from the teacher's notes.

Answer:

Heyaaa!!! I'm Pinky!! And i'm here to inform you that you're answer is...

Step-by-step explanation:

!!!

0.5–0.05= 0.45

0.45 In fraction form is Simply:

        9/20   (And that's on lowest terms!)

If you would want it in percentage form to that would simply be:

                                                 45%

    Have A Nice Day!!!!

 ~Pinky~

The value of 0.5–0.05 is a fraction in the lowest terms = 9/20.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written as the form of p: q, which is equivalent to p / q.

The given expression is: 0.5–0.05

Subtract 0.05 from  0.05

0 . 5 0

-0.  0 5

0 . 4 5

So, 0.5–0.05 = 0.45

Multiply and divide by 100 we get,

[tex]0.45\times \dfrac{100}{100} = \dfrac{45}{100}[/tex]

Divide both the numerator and denominator by 5 we get,

[tex]\dfrac{45}{100} = \dfrac{9}{20}[/tex]

Hence,

0.5–0.05 in the lowest fraction is 9/20.

Learn more about the fraction visit:

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Answer:

6mm AR, a 6 mm wildcat version which shares 6.5 Grendel's casing, but sends a (usually) lighter projectile up to 1,000 yards (900 m). 6.5×42mm, also known as 6.5 MPC (Multi Purpose Cartridge), based on a necked up .223 Remington case.

Step-by-step explanation:

Answer: 19

Step-by-step explanation:

8+7+4

8+7=15

15+4=19

Step-by-step explanation:

| |

-4. +15

Answer:

168

Step-by-step explanation:

168+8+4=180

Answer:

16.99

Step-by-step explanation:

Because I used trigonometry

Complete question is attached below :

Answer:

40, 66, 55, 70, 80, 58, 65 - option B

Step-by-step explanation:

From the boxplot attached ;

We could deduce that the least temperature is denoted by the starting point of the whisker, which is 40

The maximum temperature, is the 80, denoted by end of the end whisker.

The median is the value in the middle of the box which is 65

Lower quartile being 55 and upper quartile being 70

Hence, From the options given, the most appropriate answer will be :

40, 66, 55, 70, 80, 58, 65 - option B

IF ARRANGED IN ASCENDING ORDER, we'll have 40, 55, 58, 65, 66, 70, 80

Answer:

6

Step-by-step explanation:

The median is the middle of the data, or the middle number in a given set of numbers.

Answer:

3.75

Step-by-step explanation:

I took a test and that was the answer

Harold ran 3.75 kilometers in 5 kilometers long race.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

Given, a race is 5 kilometers long.

Harold ran 3/4 of the race.

To find the numbers of kilometers, Harold run

That means,

we multiply 3/4 to the total race's length.

Required length

= 5 x 3/4

= 15/4

= 3.75

Therefore, Harold ran 3.75 kilometers.

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Answer:

0.08

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

0.5 is equal to 1/2, so 1/2 x 0.6 = 0.3

Answer: Shorter: 5 m Longer: 12m Hypotenuse: 13 m

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The ΔDGF and ΔABC can be proven similar through SSS similarity. Therefore, option D is the correct answer.

We need to find which of the given pairs of triangles can be proven similar through SSS similarity.

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Now, form option D.

DF/AB=DG/AC=FG/BC

⇒8/2=10/2.5=11/2.75

⇒4=4=4

Thus, ΔDGF and ΔABC are similar.

Therefore, option D is the correct answer.

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Answer:

[tex](d)\ x = 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -x^2 + 4x + 12[/tex]

[tex]g(x) = x + 8[/tex]

Required

Find x such that: [tex]f(x) = g(x)[/tex]

This gives:

[tex]-x^2 + 4x + 12 = x+8[/tex]

Collect like terms

[tex]-x^2 + 4x -x + 12 -8=0[/tex]

[tex]-x^2 + 3x +4 =0[/tex]

Expand

[tex]-x^2 + 4x - x+4 =0[/tex]

Factorize

[tex]x(x - 4) - 1(x-4) = 0[/tex]

Factor out x - 1

[tex](x- 1)(x - 4)=0[/tex]

Solve:

[tex]x =1\ or\ x = 4[/tex]

Answer:

D. 962

Step-by-step explanation:

The volume of a rectangular prism is the length x width x height.

22.9*7.5*5.6=961.8

961.8 rounds up to 962

Answer:

x=8

Step-by-step explanation:

Answer:

The smaller box, 12 oz, costs less per oz than the larger 20 oz box.

Step-by-step explanation:

$4.59 divided by 20 = $0.2295 per oz

$2.52 divided by 12 = $0.21 per oz

Answer:

y ≤ -3x + 23

Step-by-step explanation:

1. 6x + 2y ≤ 46

•subtract “6x” from both sides to isolate the “y” variable

2. 2y ≤ 46 -6x

•divide both sides by “2”

3. y ≤ 23 -3x

•reorder the terms so it fits the “y = mx + b” slope-intercept format

4. y ≤ -3x + 23

Answer:

The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 23 - 1 = 22

88% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.88}{2} = 0.94[/tex]. So we have T = 1.6176

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.6176\frac{8.73}{\sqrt{23}} = 2.94[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.64 - 2.94 = -1.30 lbs

The upper end of the interval is the sample mean added to M. So it is 1.64 + 2.94 = 4.58 lbs

The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.

Answer: CANNOT DO

Step-by-step explanation:

The sample size is less than 30 and it does not specifically state that it is normally distributed, so you cannot compute the answer.

Answer:

x/regular price=y

1-y=discountx100

Step-by-step explanation: