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Blababa [14]
4 years ago
11

I'm not sure how to do these equations

Mathematics
1 answer:
Gennadij [26K]4 years ago
5 0
\frac{x^2+4x+3}{x^2-4x-21} =  \frac{(x+3)(x+1)}{(x+3)(x-7)}  =  \frac{x+1}{x-7}
\frac{x^2+10x+16}{x^2+13x+40} =  \frac{(x+8)(x+2)}{(x+8)(x+5)} =  \frac{x+2}{x+5}
You might be interested in
A random sample of size 36 is to be taken from a population that is normally distributed with mean 72 and standard deviation 6.
Flauer [41]

Answer:

The sampling distribution of the sample mean is approximately normal with mean 72 and standard deviation 1.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes 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.

Normally distributed with mean 72 and standard deviation 6.

This means that \mu = 72, \sigma = 6

A random sample of size 36

This means that n = 36, s = \frac{6}{\sqrt{36}} = 1

The sampling distribution of the sample mean is

By the Central Limit Theorem, it is approximately normal with mean 72 and standard deviation 1.

5 0
3 years ago
Get it correct?!? You will get brainlest 5 starred AND thanked if not you will just get reported and warned :)
Vika [28.1K]

Answer:

7% increase

Have a nice day :)

8 0
3 years ago
Read 2 more answers
26) Write the equation of the circle with center (0, 0) and (3, 6) a point on the circle. A) x2 + y2 = 9 B) x2 + y2 = 30 C) x2 +
alexdok [17]

Answer:C) x2 + y2 =45

Step-by-step explanation:

The equation of a circle in standard form is (x-h)2+(y-k)2=r2.

Since you know the center is (0,0), you can sub this is value in for h and k, then use the point (3,6) to sub in for x and y and you will find r2 =45. Hope that helps :)

4 0
3 years ago
Read 2 more answers
2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How m
d1i1m1o1n [39]

Answer:

13 pencils.

Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, x+y=22----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

0.75x+0.40y=11.95------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

x+y=22

y=22-x----------------(3)

put y value in equation 2.

0.75x+0.4(22-x)=11.95

0.75x+0.4\times 22-0.4x=11.95

0.75x+8.8-0.4x=11.95

0.75x-0.4x=11.95-8.8

0.35x=3.15

x=\frac{3.15}{0.35}

x=9

Now substitute x value in equation 3.

y=22-9

y=13

So, he buy 13 pencils.

5 0
3 years ago
Is the differenu<br> of 6 and 2?
frozen [14]

Answer:

4

Step-by-step explanation:

4

5 0
3 years ago
Read 2 more answers
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