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2 years ago

Which of these values of x is NOT a solution of the equation tanx= 1?

Mathematics

1 answer:

Kobotan [32]2 years ago

5 0

The tangent ratio is an illustration of the trigonometry identity

The value of x that is not a solution of tan(x) = 1 is 3 $\pi$ /4

<h3>How to determine the value that is not a solution</h3>

The trigonometry identity is given as:

tan(x) = 1

Next, we test the x values using a calculator.

When $x = -7\pi/4$ , we have:

tan(-7 $\pi$ /4) = 1

When x = 3 $\pi$ /4, we have:

tan(3 $\pi$ /4) = -1

When x = 5 $\pi$ /4, we have:

tan(5 $\pi$ /4) = 1

When x = $\pi$ /4, we have:

tan( $\pi$ /4) = 1

Hence, the value of x that is not a solution of tan(x) = 1 is 3 $\pi$ /4

Read more about trigonometry identity at:

brainly.com/question/7331447

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

Arturiano [62]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

4 0

3 years ago

What is the next number in the following series: 54, 49, 44, 39, ...

Damm [24]

<em>Hello there! And thank you for asking your question here on brainly . com! The number one asking and answering site.</em>

Answer: C. 34

Explanation: The series shown is reducing by 5 digits. 54 - 5 = 49, 49 - 5 = 44, and so on. When we're at 39, just subtract by 5. 39 - 5 = 34. 34 is the answer.

Hope this helped you, and have an awesome day! ☺♥

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andrey2020 [161]

solved by a system of equations in two variables.

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