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2 years ago

Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.

Mathematics

1 answer:

leva [86]2 years ago

3 0

Answer:

The cube root and square root are not given, but I'm going to give a chart that might help.

Square roots:

2 = √4

3 = √9

4 = √16

5 = √25

9 = √81

10 = √100

Cube roots:

2 = ^3√8

3 = ^3√27

4 = ^3√64

5 = ^3√125

9 = ^3√729

10 = ^3√1000

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Answer:

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3 years ago

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A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

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

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

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2 years ago

How long will it take the United States to travel 1 kilometer

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2 years ago

I have a bottle of 3 l and a bottle of 5 l. How can I lose 7 l?

stiv31 [10]

Answer:

fill the 5l bottle up completely

pour the contents of the 5l bottle into the 3l until completely full

this should leave you with 2 litres in the 5 l bottle

empty out the water in the 3 litre bottle and then pour in the 2 litres

fill the 5 litre up completely and you have 7 litres

Step-by-step explanation:

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1 year ago

If two fractions are between 0 and 1, can their product be more than 1? please explain. Thank You.

notka56 [123]

Answer:

B) always less than either of the original fractions

Step-by-step explanation:

We can easily Answer this by taking some values.

The question states that the two fractions, each have values between 0 and 1.

Let us say one of the fraction is 1/2 and the other fraction is 1/3 .

The product of the two fractions is 1/2 x 1/3 = 1/6 .

is lesser than both 1/2 and 1/3 .

So, the correct answer is that the product is always less than either of the original fractions.

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2 years ago