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Tju [1.3M]
2 years ago
13

Evaluate each expression.

Mathematics
1 answer:
artcher [175]2 years ago
6 0

Answer:

The answers are

→ <u><em>a. 15</em></u>

→ <u><em>b. 27</em></u>

→ <u><em>c. 4</em></u>

→ <u><em>d. 72</em></u>

→ <u><em>e. 2</em></u>

→ <u><em>f. 9</em></u>

→ <u><em>g. 1</em></u>

Step-by-step explanation:

Given expressions:

a. 7 + 2³

b. 9 • 3¹

c. 20 - 2⁴

d. 2 • 6²

e. 8 • (1/2)²

f. 1/3 • 3³

g. (1/5 • 5)⁵

<h2>Solve:</h2>

a. 7 + 2³

7+2^3

2^3 = 8

8 + 7 = 15

Hence, <u><em>15</em></u> is your answer.

b. 9 • 3¹

9*3^1

⇒ 9*(3)

⇒ 27

Hence, <u><em>27</em></u> is your answer.

c. 20 - 2⁴

20 - 2^4

2^4 = 16

20-16 = 4

Hence, <u><em>4</em></u> is your answer.

d. 2 • 6²

2 * 6^2

⇒ 2*6^2

⇒ 2*(6*6)

⇒ 72

Hence, <u><em>72</em></u> is your answer.

e. 8 • (1/2)²

8 * (\frac{1}{2})^2

⇒ 8*((\frac{1}{2})*(\frac{1}{2}))

⇒ 2

Hence, <u><em>2</em></u> is your answer.

f. 1/3 • 3³

\frac{1}{3} * 3^3

⇒ 9

Hence, <u><em>9</em></u> is your answer.

g. (1/5 • 5)⁵

(\frac{1}{5} * 5)^5

⇒ 1*1*1*1*1

⇒ 1

Hence, <u><em>1</em></u> is your answer.

<h2 /><h2>- ✨7272033Alt✨</h2>
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Data given and notation

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Solution to the problem

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 14.6% or not. So we need to use a one proportion z test and the system of hypothesis are:  

Null hypothesis:p=0.146  

Alternative hypothesis:p \neq 0.146  

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1) The data comes from a random sampling

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4) The sample size is 10 times lower than the population size.

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