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kow [346]
2 years ago
12

Given the sample −4, −10, −16, 8, −12, add one more sample value that will make the mean equal to 3.

Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

Answer: The value to add to the set is 52

=======================================================

For a moment, ignore the extra value we'll add in later.

The given set of values add to -34.

Let x be the extra value we add in. It adds to the -34 to get -34+x, then we divide by 6 because the set {-4,-10,-16,8,-12,x} has 6 items.

So we get the mean (-34+x)/6

Set this equal to the mean we want (3) and solve for x

(-34+x)/6 = 3

-34+x = 6*3

-34+x = 18

x = 18+34

x = 52

The set {-4,-10,-16,8,-12,x} updates to {-4,-10,-16,8,-12,52} and this set has a mean of 3.

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Noah tried to prove that cos(θ)=sin(θ) using the following diagram. His proof is not correct.
alukav5142 [94]

Answer:

The first statement is incorrect. They have to be complementary.

Step-by-step explanation:

You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.

You can only say that what he said is true if the angle was 45 degrees, but based on the information provided it is not possible to figure that out.

The other two angles other than the right angle in a right triangle have to add up to 90 degrees, which is the definition of what it means for two angles to be complementary. A is the correct answer.

3 0
3 years ago
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Find the surface area of the rectangular prism.
olganol [36]

Answer:

D. 270 cm2

Step-by-step explanation:

2*(15*5 + 15*3 + 5*3) = 270 cm2

8 0
3 years ago
A Ferris wheel can accommodate 40 people in 20 minutes. How many people
Montano1993 [528]

Answer:

360 people in 3 hours. 120 people per hour.

Step-by-step explanation:

How many times do 20 minutes go into 3 hours?

Well, 60 min. ÷ 20 min. = 3

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So 40 people went on the ride each 20 minutes. And there are (3) 20 minutes in every hour.

So 3 hours would be 9 x 40 = 360

120 people per hour because 40 x 3 = 120

and 20 minutes (3) times equals 1 hour.

6 0
2 years ago
What is the answer to this problem 75=3(-6n-5)
devlian [24]

Answer:

n=-5

Step-by-step explanation:

first you have to distribute the 3 to the -6 and the 5. In return u will get -18n and 15. then you have to cancel like terms. then you have to add 18 to the 75 which gives you 93. then you divide -18 by 93 which gives you -5.166 repeating... so all you have to do is round. your final answer will be -5.

5 0
3 years ago
Find the area of the circle when C = 4π. Give your answer in terms of π.
slamgirl [31]

Answer:

12.56

Step-by-step explanation:

So, the circumference will be 4(3.14), which is 12.56. So, now you can solve for area. <em>By the way, the formula is: C = pi(d) (Just saying)</em>

Anyways, A = pi(r)2. So, with the radius being half of the diameter, you will cut 4 in half. You are now ready to solve.

A = 3.14 (2) (2), which is 12.56 .

Hope this helps! :)

7 0
2 years ago
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