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jek_recluse [69]
3 years ago
14

Find the area of a circle with a circumference of 50.24

Mathematics
2 answers:
lawyer [7]3 years ago
8 0

The area would be 200.86

Ganezh [65]3 years ago
5 0

area would be 200.86 or 200.9 if you are rounding to the nearest tenth.

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Describe the solution set for the equation below.
zheka24 [161]
Pretty sure it’s infinitely many solutions
5 0
2 years ago
A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm.If the distance of the journey was 1276.5, wha
attashe74 [19]

Answer:

74 mph

Step-by-step explanation:

step 1

Find the total time

A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm

so

from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours

from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours

The total time is

5.5+11.75=17.25 hours

step 2

Find the average speed

we know that

The average speed is equal to divide the total distance by the total time

speed=\frac{1,276.5}{17.25}= 74\ mph

4 0
3 years ago
Is this expression fully simplified? Explain<br> 4x2 + 10 - x - 6x3
tankabanditka [31]

Answer:

-x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a
DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is<u> C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

6 0
3 years ago
How do you solve it?
MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

(x+2)(x-1)=0

<em>"first"</em> would be x*x, which would equal x^{2}

<em>"outside"</em> would be x*-1, which would equal -1x, or -x

<em>"inside"</em> would be 2*x, which would equal 2x

<em>"last" </em>would be 2*-1, which would equal -2

Now you need to combine the terms so that they are one after the other

x^{2}-x +2x-2

Combine like terms, and you should get:

x^{2} +x-2

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

x+2=0\\x=-2

<em>Add one to both sides.</em>

x-1=0\\x=1

ii Solution

<em>Add all the terms.</em>

x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}

8 0
3 years ago
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