(You will get brainliest if you give a long answer) You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangular prism and half a cylinder. The front pocket is also a rectangular prims. Use the diagram to find the volume of your new backpack.
Explain how you calculated the answer using complete sentences and proper grammar.

Answer:

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

Step-by-step explanation:

The investigators reasoned that if questions were measuring knowledge or memory rather than just RC, students would answer questions at a higher rate than chance (20%, since there were 5 choices for each question).

This means that at the null hypothesis, we test that the proportion is the probability of answering correctly by change, that is 20%. So

[tex]H_0: p = 0.2[/tex]

At the alternate hypothesis, we test that the proportion is above 20%, that is:

[tex]H_a: p > 0.2[/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.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

Suppose that on one question, 30 out of 100 examinees answered the question correctly.

This means that [tex]n = 100, X = \frac{30}{100} = 0.3[/tex]

Test statistic:

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

[tex]z = \frac{0.3 - 0.2}{\frac{0.4}{\sqrt{100}}}[/tex]

[tex]z = 2.5[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.3, which is 1 subtracted by the p-value of z = 2.5.

Looking at the z-table, z = 2.5 has a p-value of 0.9938

1 - 0.9938 = 0.0062

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

Answer:

[tex]\huge\boxed{Option \ 4}[/tex]

Step-by-step explanation:

[tex]\displaystyle sin \theta = \frac{opposite }{hypotenuse}[/tex]

Where opposite = 55, hypotenuse = 73

[tex]\displaystyle sin R = \frac{55}{73} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

the answer is B

because its always multiply by 7

Step-by-step explanation:

i want to say something some guys always sent the same link i dont understand why but be careful guys this link can be Viruses for your devices

Answer:

b. po

Step-by-step explanation:

that have been the most part I don't know y avg be yyyy I have a panda but the black on it and I have a panda but the black on

Answer:

[tex]\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0[/tex]

And we want to find sec(θ).

First, note that both sine and tangent are positive. The only quadrant in which this can occur is QI. Hence, all trig ratios will be positive.

Also, recall that sine is the ratio of the opposite side to the hypotenuse. Using this information and the Pythagorean Theorem, we can determine the adjacent side:

[tex]a=\sqrt{9^2-8^2}=\sqrt{17}[/tex]

So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

[tex]\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}[/tex]

Again, since θ is in QI, all trig ratios are positive.

Answer:

D

Step-by-step explanation:

The military term most often used for retreat is withdraw. It means that some advanced position, the battle cannot be won or turned around. So you withdraw from the field.

A: advance. No you are doing the exact opposite of retreat.

B: attack. Same as A. You are leaving the field with retreat.

C: Surrender is an entirely different thing. It means that you have given up the field and are not willing to fight anymore.

D: answer

Answer:

B

Step-by-step explanation:

Let's make a table:

Term 1:     3 toothpicks

Term 2:     4 toothpicks

Term 3:     5 toothpicks

Term 4:     6 toothpicks

Term 5:     7 toothpicks

Term N = N + 2 toothpicks

Answer:

- Computer-assisted self-interviewing.

Step-by-step explanation:

'Primary data' is characterized as the data or the information gathered firsthand for a particular purpose or research. Such data is collected personally through surveys, observations, and direct interviews.

As per the details, the given data illustrates 'computer-assisted self-interviewing' as the kind of primary data as the data is collected directly from the travelers visiting the airport using the brief survey method on a tablet. This will help Teavana make credible inferences regarding the people's reviews about their latest tea flavors so that they can make necessary alterations as per the likes and preferences of the people.

Answer:

8

Step-by-step explanation:

500/(2*(4.4*3.2+3.2*2+2*4.4)) = 8.5382513661

Answer:

the answer is d circumference

Answer:

[tex]9 + 10 = 19[/tex]

hope it helps

Answer: 21

Explanation: For the meme

Answer:

$7500

Step-by-step explanation:

I=PRT

=5,000×0.15×10

Answer:

Step-by-step explanation:

Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1.

What  you can do with synthetic division you can do   with regular long division .But not the opposite

Answer:

3rd option. [tex]g(x)=x^{2} +2[/tex]

Answer:

-2

Step-by-step explanation:

h(-4) = -4                          

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Answer:

Step-by-step explanation:

(x1 = -4, y1 = -4) y ( x2 = -4, y2 = -9)

la pendiente es indefinida por que es una recta vertical

m= (y2-y1)/(x2-x1) = (-9+4)/ (-4+4) = -5/0 indefinida

Answer:

C

Step-by-step explanation:

1. The domain is the x-value of a function.

2. In that image, the x-values are the numbers on the left of each parenthesis.

3. You should put the domains in increasing order, so the final answer is -2, 0, 2, 4.

Answer:

12

Step-by-step explanation:

Inches÷12=Feet

Feet·12=Inches

Answer:

4

Step-by-step explanation:

Answer: 9

Step-by-step explanation: h=2(A/a+b)=2(66.66/4.9+9.9)=9.01

Answer:

Around 0.40

Step-by-step explanation

If she doubles the gift every year, do 18x2=36, 36 rounds to 40 or 0.40.

The total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

Lets suppose the geometric sequence has its initial term is [tex]a[/tex], multiplication factor is  r, then, its sum is given as:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

The sequence would look like [tex]a, ar, \cdots, ar^{n-1},\cdots[/tex]

For this case, we are specified that:

That shows that the gift amounts each year will form a geometric sequence where a = 1, and r = 2 (as amounts are doubled).

The gift amounts would look like:

[tex]\\1, 2, 4, \cdots\\or\\1, 2\times 1, 2^2 \times 1, \cdots[/tex]

We have to find these terms' sum till 18th term(18th term is the gift of her 18th birthday).

Thus, we have: n = 18, a = 1, and r = 2.

The sum will be:

[tex]S_n = \dfrac{a(r^n-1)}{r-1} = \dfrac{1(2^{18}-1)}{2-1} = 2^{18} - 1 = 262143 \: \rm cents[/tex]

There are 100 cents in 1 dollars,

Thus, 1 cent = 0.01 dollars,

and thus, 262143 cents form 2621.43 dollars.

Thus, the total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

Learn more about sum of terms of geometric sequence here:

https://brainly.com/question/1607203

Answer:

11

Step-by-step explanation:

Answer:

Obtuse because it bigger than an acute and a right angle

Answer:

obtuse angle triangle

hope it helps

Answer:

48 minutes

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

If you multiply 3.5 for example by 2 (which is the number of gallons) you get 7 which is the cost (also a proportional relationship).

Answer:

ur answer is correct only

Step-by-step explanation:

mark me brainlist tq

Answer:

dependent events

Answer:

[tex]144\pi[/tex]

Step-by-step explanation:

Formula for the volume of a cylinder is the Base Area x Height

or

[tex]V= \pi r^{2} * h[/tex]

Plug in the values:

[tex]V = \pi(6)^2 * 4[/tex]

[tex]V = 36\pi *4 = 144\pi[/tex]

Answer: D) 1.969 x 5

Step-by-step explanation: Hope this help :D