Question 20 of 25

Mathematics

1 answer:

Alex777 [14]3 years ago

4 0

Answer: D

Step-by-step explanation:

A P E X

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Two angles are complementary. The larger

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Find the standard deviation. Round to the nearest tenth. 1, 2, 11, 8, 16, 16,20, 16, 18 OA. 6.5 O B. 6.9 O C. 1.5 ? D. 7.4

NikAS [45]

Answer:

A. 6.5

Step-by-step explanation:

First we find the average $\bar{x}$ of the 9 data:

$\bar{x} =\frac{\sum_{x=1}^{n}x_{i}}{n}$

Where n is the data number, that in this case is 9.

$\bar{x} =\frac{1+ 2+ 11+ 8+ 16+ 16+20+ 16+ 18}{9}=12\\$

The formula of the standard deviation $\sigma$ is:

$\sigma=\sqrt{\frac{\sum_{x=1}^{n}(x_{i}-\bar{x})^{2}}{n}}$

We replace the data and find the value of the standard deviation:

$\sigma=\sqrt{\frac{(1-12)^{2}+(2-12)^{2}+(11-12)^{2}+(8-12)^{2}+(16-12)^{2}+(16-12)^{2}+(20-12)^{2}+(16-12)^{2}+(18-12)^{2}}{9}}$

$\sigma=\sqrt{\frac{(-11)^{2}+(-10)^{2}+(-1)^{2}+(-4)^{2}+(4)^{2}+(4)^{2}+(8)^{2}+(4)^{2}+(6)^{2}}{9}}=6,54$

We approximate the number and the solution is 6,5

6 0

4 years ago

A rope is divided into three pieces. One piece is 3 inches longer than the shortest piece and 5 inches shorter than the longest

Ilia_Sergeevich [38]

One piece is twenty seven inches long. The others are thirty inches, and thirty five inches. Let's say "A" is the shortest piece, and the base for the equation. The next piece is three inches longer, so we have A+3. The longest piece is five inches longer than the second, so we get A+3+5. To solve for "A" we have to simplify. A+(A+3)+(A+3+5)=3A+11. The total length is 92, so 3A+11=92. Subtract 11 from both sides to get "A" by itself: 3A+11+(-11)=92+(-11) to 3A=81. To solve divide both sides by 3: 3AĂ·3=81Ă·3 to A=27. (27)+3=30. (27)+3+5=35. To check, add the sums. 27+30+35=92 : that is a true statement.

3 0

3 years ago

Read 2 more answers

Wednesday 2pm

faltersainse [42]

Answer:

3 and 18

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