All categories

3 years ago

Please help don’t get it ASAP

Mathematics

1 answer:

maxonik [38]3 years ago

5 0

Answer:

Option C is correct.

$38 miles$

Step-by-step explanation:

Let x be the distance cover by Michelle

Given:

A circle diameter is 3 miles.

And Michelle biked around the trail 4 times.

We know that

The circumference of a circle.

circumference = $2\pi r$ ----------(1)

where $r=\frac{Diameter}{2}$

$r=\frac{3}{2} \\r=1.5$ miles

Put $\pi =3.14$ and r value in equation 1.

$circumference = 2\times 3.14 1.5$

$circumference = 9.42 mil;es$

The circumference of a circle is 9.42 miles.

And Michelle biked 4 times, that is equal to 4 $\times$ circumference.

$x = 4\times 9.42$

$x = 37.65 miles$ .

That is equal to 38 miles.

Therefore, Michelle biked around 4 trail is 38 miles.

You might be interested in

I GIVE BRAINLIY<br> 16 8<br> 20= ?

icang [17]

16=8
20=10
ten,ten,ten

6 0

3 years ago

What is the value of x plz help

nalin [4]

43 is the value of x Cox it's an angle on a straight line

6 0

3 years ago

A recipe requires 1/5 cup of sugar and 1/2 cup of flour. How many times as much flour is required for the recipe as sugar?

Damm [24]

Answer:

2.5 times

Step-by-step explanation:

To compare the two quantities, find a common denominator.

1/5 is 2/10 of sugar.

1/2 cup of flour is 5/10 of flour.

There is almost 3 times as much flour as sugar. 5/ 2 = 2.5. It is 2.5 times as much.

6 0

3 years ago

Solve for x in the function

Zinaida [17]

Answer:

Step-by-step explanation:

<h3>2^3= 2x2x2= 8 + 4 =12</h3><h3 /><h3>but it is 16 not 12 so 16 - 12 =4 so that should be ur awnser.</h3><h3 /><h3 /><h3 /><h3>In return can u answer the question that i just asked on my account</h3>

3 0

3 years ago

Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa

Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8.7% and standard deviation 20.2%.

This means that $\mu = 8.7, \sigma = 20.2$

40 years:

This means that $n = 40, s = \frac{20.2}{\sqrt{40}}$

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$