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alexdok [17]
2 years ago
10

How would you do this question?

Mathematics
1 answer:
JulsSmile [24]2 years ago
4 0

By using exponent properties, we will see that the solutions are:

a) 15

b) 270.

<h3>How to solve the given expressions?</h3>

Here you need to remember that:

(\sqrt[n]{x} )^n = x

a) First, we want to solve:

(\sqrt{5})^2*(\sqrt{3} )^2

And these are square roots, then:

Now if we apply the above relation, we get:

(\sqrt{5})^2*(\sqrt{3} )^2 = 5*3 = 15

b) Now we have the expression:

(\sqrt[3]{9} )^3*(\sqrt{30})^2

Again using the relation:

(\sqrt[3]{9} )^3*(\sqrt{30})^2 = 9*30 = 270

If you want to learn more about exponents:

brainly.com/question/24487155

#SPJ1

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Please help me solve this, I can't get a right answer even though it is easy: | 2x + 4 | = 12
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1. Find the 90% Cl for the population mean if sample
Elden [556K]

Answer:

The answer is below

Step-by-step explanation:

1)

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)

2)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)

8 0
3 years ago
The diameter of a circle is 3 kilometers. What is the area?
lora16 [44]

Answer:

7.068583471 km ^2

Step-by-step explanation:

pi x radius² is area

pi x 1.5² = the answer

3 0
3 years ago
Read 2 more answers
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