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Andreas93 [3]
3 years ago
12

Solve the equation x2 = 64 for x.

Mathematics
1 answer:
viva [34]3 years ago
7 0
To solve x in the equation <span>x2 = 64, we raise the whole equation to the reciprocal of the power of the variable present which means we raise it to a power of 1/2. 64 raised to 1/2 or square root of 64 is equal to positive 8 and negative 8. The solution set is {-8,8}</span>
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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a
Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use \pi = 0.5

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.02}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}

n = 2401

The sample size needed is 2401.

7 0
3 years ago
Read 2 more answers
Suppose the x intercept of the graph of y=f(x) are 2 and 3. what are the x-intercepts of y=8f(x)
Yuliya22 [10]

We are given: Function y=f(x).

First x-intercept of the y=f(x) is 2.

x-intercept is a point on x-axis, where y=0.

Replacing y by 0 and x by 2 in above function, we get

0=f(2)

Second x-intercept of the y=f(x) is 3.

Replacing y by 0 and x by 2 in above function, we get

0=f(3)

We are given another function y=8f(x).

Here only function f(x) is being multiplied with 8.

That is y values of function should be multiply by 8.

Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.

Therefore,

x-intercepts of y=8f(x) would remain same, that is 2 and 3.

6 0
3 years ago
Two thirds of 12 minus d
fenix001 [56]

Step-by-step explanation:

2 /3 of 12 - d

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7 0
3 years ago
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Please help 18939290201010
aalyn [17]

Answer: 3 3/5

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3 years ago
How many solutions does this equation have?
mars1129 [50]

Answer:

Infinitely many solutions.

Step-by-step explanation:

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4v=4v       These are already equal without diving, so there are infinitely many solutions.

Hope this helps and have a nice day ❤

8 0
3 years ago
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