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castortr0y [4]
3 years ago
10

Find the domain and range of function f(x) is equal to root √x-1

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0

Answer:


Step-by-step explanation:

If you meant f(x) = √x - 1, then the domain is [0, infinity).

If you meant f(x) = √(x-1), then the domain is [1, infinity).

When any ambiguity may rear its ugly head, use parentheses, as indicated here.

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Please help! I don't understand how to solve this problem
Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

M = z\frac{\sigma}{\sqrt{n}}

0.006 = 1.96\frac{1.1547}{\sqrt{n}}

0.006\sqrt{n} = 1.96 \times 1.1547

\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}

(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2

n =  142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
1 year ago
John wanted to estimate the product of 5.2 and 6.7. What is the best estimate for his problem?
NNADVOKAT [17]
Round 5.2 down to 5 and Round 6.7 to 7.
5+7=12
8 0
3 years ago
Read 2 more answers
#10 using right angle below find the tangent of angle A.
just olya [345]

Answer: the first option is the correct answer.

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine the tangent of angle A, we would apply the Tangent trigonometric ratio. It is expressed as

Tan θ, = opposite side/adjacent side. Therefore,

Tan A = 5/5√3 = 1/√3

Rationalizing the surd, it becomes

1/√3 × √3/√3

Tan A = √3/3

6 0
3 years ago
Naomi is a sales person. She sold a calculator for $86 and earned 20% commission. How much commission did Naomi earn?
Free_Kalibri [48]

Answer:

$17.20

Step-by-step explanation:

Total commission = cost x percent commission rate

86 x 20 % = 17.20

Total commission = $17.20

3 0
2 years ago
Is this is correct? I’m confused you can help me at the last one to if you want
Wittaler [7]

Answer:

its correct

Step-by-step explanation:

because if u take away 1 and add for take away 2 and get 3

4 0
2 years ago
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