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3 years ago

What is the value of the expression (x-y)2 when x=5 and y=-1

Mathematics

1 answer:

rodikova [14]3 years ago

6 0

(5- -1)2
(5+1)2
6x2
12

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What number fills in the blank to complete the factorization of 3x + 24? (x + 8)

Crank

we have

$3x+24$

Find the greatest common factor GCF

we know that

$3\\ Factors=1,3\\ \\ 24=2^{3}*3\\ Factors=1,2,3,4,6,8,12,24$

The GCF is equal to $3$

therefore

$3x+24=3*(x+8)$

the answer is

The number is $3$

8 0

4 years ago

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A car was purchased for $21,500. the value of the car decreased by $3200 per year for the first six years. write a function th

natulia [17]

Your answer is 24,700 that is your answer

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3 years ago

A population of values has a normal distribution with μ=204.9μ=204.9 and σ=81.9σ=81.9. You intend to draw a random sample of siz

marin [14]

Answer:

7. μ=204.9 and σ=5.4968

8. μ=75.9 and σ=0.7136

9. p=0.9452

Step-by-step explanation:

7. - Given that the population mean =204.9 and the standard deviation is 81.90 and the sample size n=222.

-The sample mean, $\mu_x$ is calculated as:

$\mu_x=\mu=204.9, \mu_x=sample \ mean$

-The standard deviation, $\sigma_x$ is calculated as:

$\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{81.9}{\sqrt{222}}\\\\=5.4968$

8. For a random variable X.

-Given a X's population mean is 75.9, standard deviation is 9.6 and a sample size of 181

-#The sample mean, $\mu_x$ is calculated as:

$\mu_x=\mu\\\\=75.9$

#The sample standard deviation is calculated as follows:

$\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{9.6}{\sqrt{181}}\\\\=0.7136$

9. Given the population mean, μ=135.7 and σ=88 and n=59

#We calculate the sample mean;

$\mu_x=\mu=135.7$

#Sample standard deviation:

$\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{88}{\sqrt{59}}\\\\=11.4566$

#The sample size, n=59 is at least 30, so we apply Central Limit Theorem:

$P(\bar X>117.4)=P(Z>\frac{117.4-\mu_{\bar x}}{\sigma_x})\\\\=P(Z>\frac{117.4-135.7}{11.4566})\\\\=P(Z>-1.5973)\\\\=1-0.05480 \\\\=0.9452$

Hence, the probability of a random sample's mean being greater than 117.4 is 0.9452

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3 years ago

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line 4x + 3y = 12? Drag and drop each choice

zimovet [89]

Answer:

I HAVE NO CLUE

Step-by-step explanation:

7 0

2 years ago

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Solve inequalities x+4>-15

Phoenix [80]

X + 4 > -15
- 4
x > -19

So your answer is x > -19, I hope this helps!

6 0

3 years ago