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3 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

Pie3 years ago

8 0

Answer:

Step-by-step explanation:

Correction: It should say 300/360 instead of 60/360 for sector POR, so you'll need to plug that in your calculator instead.

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With explanation please, step by step if is necessary, I need heeelp!

Radda [10]

Answer:

$area \: of \: the \: circle \: = \: \pi {r}^{2} \\ so \\ \: 10 = \pi {r}^{2} \\ {r}^{2} = \frac{10}{\pi} \\ r = \sqrt{ \frac{10}{\pi} } \\ r = \frac{ \sqrt{10} }{ \sqrt{\pi} } \\ r = \frac{ \sqrt{10} \times \sqrt{\pi} }{ \sqrt{\pi} \times \sqrt{\pi} } \\ r = \frac{ \sqrt{10\pi} }{\pi} \\ since \: d \: = 2r \\ so \\ d = 2( \frac{ \sqrt{10\pi} }{\pi} ) \\ \\ d = \frac{2 \sqrt{10\pi} }{\pi} \\ since \: circumferenc \: = 2r\pi \\ so \: circumference = 2( \frac{ \sqrt{10\pi} }{\pi} )\pi \\ = 2( \sqrt{10\pi} ) \\ = 2 \sqrt{10\pi}$

5 0

3 years ago

Joseph typed a 1,200 word essay in 25 minutes. at thus rate, determine how many words he can type in 45 minutes?

zheka24 [161]

All you need to do is divide 1200by 25 to get the words per minute and then you can multiply that by 45 to get the answer 2160

6 0

3 years ago

Read 2 more answers

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 11.4

GREYUIT [131]

Answer:

The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.

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:

$\alpha = \frac{1-0.9}{2} = 0.05$

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 $1-0.05 = 0.95$ , so $z = 1.645$

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.

$M = 1.645*\frac{2}{\sqrt{375}} = 0.2$

The lower end of the interval is the sample mean subtracted by M. So it is 11.4 - 0.2 = 11.2 reproductions.

The upper end of the interval is the sample mean added to M. So it is 11.4 + 0.2 = 11.6 reproductions.

The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.

5 0

3 years ago

Read 2 more answers

On a trip to the beach a family spent $350 on hotel, and $275 on food. They rented bikes for $35 and later went to the movies an

Lesechka [4]

350 + 275 + 35 + movies and popcorn= 710
660 + movie and popcorn = 710
Movies and popcorn = 710 - 660 = 50
$50

3 0

3 years ago

A rotating object makes 5/6 of a revolution in 7/10 second. Find the approximate speed in revolutions per second. Write your ans

hichkok12 [17]

You would do DRT, distance, rate, time. Rate us what you want. R=T/D- so you would divide 5/6 by 7/10 to get which is 1.1904

3 0

3 years ago