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zubka84 [21]
2 years ago
6

Find the median of the following data:10, 16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10, 9

Mathematics
1 answer:
zhenek [66]2 years ago
6 0

Answer:

10, 16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10, 9

Step-by-step explanation:

(5+19)/2 = 12

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The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is
Nimfa-mama [501]

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

972 = 1/3 * x^2 * 1/2x

Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

5832 = x^3

Take the cube root of both sides:

x = 18

The length of the base is 18 inches.

The height is 1/2 that, so the height would be 18/2 = 9 inches.

4 0
3 years ago
Find the average rate of change of the function below over the interval (-4,-1).
babymother [125]

Answer:

-2

Step-by-step explanation:

\frac{f(b)-f(a)}{b-a}\\ \\=\frac{f(-1)-f(-4)}{-1-(-4)}\\ \\=\frac{-4-2}{-1+4}\\ \\=\frac{-6}{3}\\ \\=-2

Therefore, the average rate of change over the interval [-4,-1] is -2.

5 0
2 years ago
What is 0.8% of 50?<br> A. 0.04<br> B. 0.4<br> C. 4<br> D. 40
BaLLatris [955]

Answer:

It would be A!

Step-by-step explanation:

.08 times .50 would be 0.04. (It's a quick way to be able to solve problems similar to that! :)

7 0
2 years ago
Read 2 more answers
Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

6 0
3 years ago
Can someone help please
Elis [28]

Answer:

Alternate

Step-by-step explanation:

Because, as you can see, it is alternating

4 0
3 years ago
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