4. Which of the following is an exponential function?
O f(x) = 3x^3
O f(x) = 3^x
O f(x) = 5x-6
O f(x) = 2/x​

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.

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

Step-by-step explanation:

| |

-4. +15

Answer:

2nt one

Step-by-step explanation:

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

Step-by-step explanation:

Possible question so that I can help you with the solution

Answer:

Prime

Step-by-step explanation:

2(x?)+16y

O(x+4y)(x+4y)

x²+4xy+4xy+16y²

x²+8xy+16y²

O(x+4y)(x-4y)

x²-4xy+4xy-16y²

x²-16y

Prime

O(x-4y)(x-4y)

x²-4xy-4xy+16y²

x²-8xy+16y²

All are incorrect except prime, so the answer is prime.

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hope it helps

Answer:

[tex]a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b) [/tex]

Step-by-step explanation:

we have:

[tex] \tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)[/tex]

we also have:

[tex] \tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)[/tex]

from (1)(2) => proven

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]

[tex]2y + 4 = 8 \\ 2y = 8 - 4 \\ 2y = 4 \\ y = \frac{4}{2} \\ y = 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

y=4/2=2

Step-by-step explanation:

Answer:

16.99

Step-by-step explanation:

Because I used trigonometry

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:

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:

x=8

Step-by-step explanation:

Step-by-step explanation:

I m not sure either u have written (-2).. ans is (3,-2)

Answer:

(3, 2 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

(3, - 2 ) → (3, 2 )

Answer:

0.3

Step-by-step explanation:

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

Answer:

x = 85

Step-by-step explanation:

Its a Pythagorean theorem question, being a^2 + b^2 = c^2.

and knowing that 168 is the entire base we would divide by 2 to get 84 as b.

The new equation would be 13^2 + 84^2 = c^2

Then squaring them to get 169 + 7056 = c^2

Then add them together and square root them [tex]\sqrt{x}[/tex] 7225 = c

The square root is 85 making it equal x.  

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:

25.12

Step-by-step explanation:

The formula of the circumference of a circle is: C = 2(pi)(r)

Plug in 3.14 for pi and 4 for the radius.

C = 2(3.14)(4)

Multiply.

C = 25.12

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

Step-by-step explanation:

Answer:

(1,-1)

Step-by-step explanation:

[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x \end{cases}}[/tex]

Since both are y-isolated equation. We can combine both.

[tex] \large{2x - 3 = - x}[/tex]

Since we want to solve for x-term, we need to isolate x-term.

So we move from -x which is the right side to x.

[tex] \large{2x - 3 + x = 0} \\ \large{3x - 3 = 0} \\ \large{3x = 3} \\ \large{x = 1}[/tex]

But we are not done yet. Solving system of equations, you must solve for y-term as well. (Because we have to answer in ordered pairs which are (x, y))

Substitute x = 1 in any given equations but I will substitute x = 1 in y = -x

[tex] \large{y = - x} \\ \large{y = - 1}[/tex]

Since we have got y-value. Therefore the answer is (1,-1)

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.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

Answer

A few ways we could stop racism against black people in this country is to stop the perpepuation of black stereotypes in media. Such as the loud, aggressive black man, or the rude, catty black woman. It causes a harmful view on black people and can result in racial profiling. Another way to combat this racism is to fight off systemic racism. Black people who have unique names, usually African names, are more likely to get turned down for a job when they turn in their resume to an establishment. This is because they automatically assume that they'll be trouble, and won't be a good worker.

Answer:

The scatter plot shows a positive correlation.