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3 years ago

What is the ratio of square numbers to prime numbers between 1 and 30 in its simplest form?

Mathematics

1 answer:

algol [13]3 years ago

5 0

Answer:

1:2

Step-by-step explanation:

There are 5 square numbers and 10 prime numbers between 1 and 30 so this is what you will do:

1:Since you said square numbers to prime numbers, you start with the total number of square numbers which is 5

2:Then you put a colon and put the total number of prime numbers which is 10 after it ,which the answer will be 5:10

3:Now you have to simplify it, since 5 can go into itself and 10, the answer will be 1:2

Therefore, it will be 1:2

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A boat goes 24 miles at a constant speed in 4 hours against a river current.

Ne4ueva [31]

Answer:

8 miles per hour.

Step-by-step explanation:

24miles in 4 hours = 24/4=6 miles per hour.

24 miles in 3 hours = 24/3=8 miles per hour. The boat going with the current of the river is traveling at 8 miles per hour.

7 0

2 years ago

Is 1.1717717771 a rational number

Lynna [10]

The answer is going to be yes it's rational. hope that helped

5 0

3 years ago

Read 2 more answers

Need help can anyone help me???

Paladinen [302]

Answer:

it is greater than 45°

Step-by-step explanation:

From the relationship of angles and secants/tangents, we have ...

m∠GSO = (long arc GO -arc GT)/2

Solving for (long arc GO), we have ...

2(m∠GSO) +arc GT = (long arc GO)

We know that (long arc GO) > 180°, so we can write ...

2(m∠GSO) +90° > 180° . . . . arc GT = 90°

2(m∠GSO) > 90° . . . . . . subtract 90°

m∠GSO > 45° . . . . . . . . divide by 2

_____

<em>Alternate solution</em>

Inscribed ∠GOT has half the measure of arc GT, so is 45°.

You know that if angle G were 90°, then the right triangle would be isosceles, and angle S would also be 45°. In this triangle, arc GTO is less than 180°, so angle G is less than 90°.

When angle G gets smaller, the sum of angles remains the same, so angle S must be larger than 45°.

This reasoning is written more formally in the math above.

8 0

3 years ago

If your bike 8 miles south and then 6 miles east, what is the distance you are from your starting point?

Lady bird [3.3K]

Answer:

<em>14 miles</em>

Step-by-step explanation:

It's still 14 miles no matter which way you go.

8 0

2 years ago

Researchers measured the bone mineral desnsity of the spines of 94 women who had taken teh drug CEE. The mean was 1.016 g/cm2, a

Valentin [98]

Answer:

The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

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

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{0.155}{\sqrt{94}} = 0.0310$

The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²

The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²

The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

6 0

2 years ago