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3 years ago

Find the mean of the following data set: 8, 5, 7, 10, 15, 21

2 answers:

8 0

D. 11

you add all of the number then divide by how many numbers there are.

8+5+7+10+15+21= 66

there are 6 numbers total

66/6=11

denis-greek [22]3 years ago

3 0

Mean: add A1+A2+A3+A4+……..+An then divide by 2 means 8+5+7+10+15+21=66/2=33

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Select Statistical or Not statistical to classify each question.

Oxana [17]

Answer:

the first in is not statistical because it id not a relevant question

the second is statistical because it is asking a relevant question that requires a factual answer while the first one does not have any factual information involved in the answer

Step-by-step explanation:

Hope this helps have a wonderful day

-GayBoi456

5 0

3 years ago

Read 2 more answers

Brandon has a garden in his backyard. He picked 66 tomatoes from 6 tomato plants. What is the ratio of tomato plants to tomatoes

Makovka662 [10]

The answer is 1:11. After it being simplified from 6:66. Hope this helps.

4 0

3 years ago

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Find a parametric representation for the part of the cylinder y2 + z2 = 49 that lies between the planes x = 0 and x = 1. x = u y

sweet-ann [11.9K]

Answer:

The equation for z for the parametric representation is $z = 7 \sin (v)$ and the interval for u is $0\le u\le 1$ .

Step-by-step explanation:

You have the full question but due lack of spacing it looks incomplete, thus the full question with spacing is:

Find a parametric representation for the part of the cylinder $y^2+z^2 = 49$ , that lies between the places x = 0 and x = 1.

$x=u\\ y= 7 \cos(v)\\z=? \\ 0\le v\le 2\pi \\ ?\le u\le ?$

Thus the goal of the exercise is to complete the parameterization and find the equation for z and complete the interval for u

Interval for u

Since x goes from 0 to 1, and if x = u, we can write the interval as

$0\le u\le 1$

Equation for z.

Replacing the given equation for the parameterization $y = 7 \cos(v)$ on the given equation for the cylinder give us

$(7 \cos(v))^2 +z^2 = 49 \\ 49 \cos^2 (v)+z^2 = 49$

Solving for z, by moving $49 \cos^2 (v)$ to the other side

$z^2 = 49-49 \cos^2 (v)$

Factoring

$z^2 = 49(1- \cos^2 (v))$

So then we can apply Pythagorean Theorem:

$\sin^2(v)+\cos^2(v) =1$

And solving for sine from the theorem.

$\sin^2(v) = 1-\cos^2(v)$

Thus replacing on the exercise we get

$z^2 = 49\sin^2 (v)$

So we can take the square root of both sides and we get

$z = 7 \sin (v)$

4 0

3 years ago

Find cos θ if sin θ = -12/13 and tan θ > 0

Anarel [89]

SinФ=-12/13
cosФ=Base/hypotenus
(hy)^2-(perpendicular)^2=(base)^2=13^2-12^2=5
cosФ=-5/13

6 0

3 years ago

Find the remainder when 1 + 2 + 2^2 + 2^3 + ... + 2^100 is divided by 7.<br><br> Thanks in advance!

Firlakuza [10]

Answer:

Step-by-step explanation:

This is a geometric series so the sum is:

a1 * r^n - 1 / (r - 1)

= 1 * (2^101 -1) / (2-1)

= 2^101 - 1.

Find the remainder when 2^101 is divided by 7:

Note that 101 = 14*7 + 3 so

2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.

By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.

So 2^101 mod 7 = (8 * 4^7) mod 7

= (8 * 4) mod 7

= 32 mod 7

= 4 = the remainder when 2^101 is divided by 7.

So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..

4 0

3 years ago