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3 years ago

Select all radical expressions that are equivalent to 5 2/3

Mathematics

2 answers:

Alexandra [31]3 years ago

8 0

Answer:

1&3

Step-by-step explanation:

i just took the test

Dennis_Churaev [7]3 years ago

5 0

Answer:

1 and 3

Step-by-step explanation:

(5^(1/3))^2 = 5^(2/3)
(5^2)^(1/2) = 5^(2/2) = 5
(5^2)^(1/3) = 5^(2/3)
(5·3)^(1/2) = 5^(1/2)·3^(1/2)
(5^(1/2))^3 = 5^(3/2)
(5·2)^(1/3) = 5^(1/3)·2^(1/3)

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Applicable rules are ...

$\sqrt[n]{x^{m}}=x^{\frac{m}{n}}\\\\(x^{b})^{c}=x^{bc}\\\\(ab)^{c}=a^c\cdot b^c$

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3 years ago

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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 $\pi = 0.5$

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

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

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

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

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The sample size needed is 2401.

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3 years ago

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HELP ‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️WILL MARK BRAINLYEST‼️‼️‼️

Rainbow [258]

Answer:

8 one-dollar bills

3 five-dollar bills

2 ten-dollar bills

Step-by-step explanation:

Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13

x + 5y + 10z = 43

x = 4z

x + y + z = 13

x + 5y + 10z = 43

x + 0y - 4z = 0

x + y + z = 13

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1 year ago

Equivalent fraction one over two

Bumek [7]

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3 years ago

Y=x^2-2 Input output X Y 1 4 8 10

Nuetrik [128]

Answer: -1, 14, 62, 98

Step-by-step explanation:

Plug each x-value into the equation and solve for y

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3 years ago