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Kisachek [45]
3 years ago
5

A population has a mean mu equals 82

Mathematics
1 answer:
aivan3 [116]3 years ago
6 0
<span>The mean of the sampling distribution of the mean is the mean of the population from which the scores were sampled. Therefore, if a population has a mean μ then the mean of the sampling distribution μ₁ of the mean is also μ.

So </span>μ = μ1 =82

Now let' calculate σ the standard deviation <span> of the sampling distribution of the mean: It is computed as follows:

</span>σ₁ = σ/√n ==> σ₁ = 6/√n

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Factor.<br> 22 – 7x - 30
polet [3.4K]

-8 - 7x is the factored version.

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2 years ago
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4 m<br> 5 m<br> 3 m<br> surface area =
scoundrel [369]

Answer:94 m^2

Step-by-step explanation:

surface area equation for rectangle is 2*(a*b + a*c + b*c)

where a=4 b=5 and c=3

so substitute in all numbers and get:

Surface Area = 2×(4×5 + 4×3 + 5×3)

do the maths and got a solid 94 meters

(I squared because in this equation you are multiplying numbers that equal the area of a surface and not the whole volume which would be cubed)

7 0
2 years ago
When the polynomial in P(x) is divided by (x + a), the remainder equals P(a)
disa [49]

Answer:

This is a false statement:

Step-by-step explanation:

According to Remainder Theorem dividing the polynomial by some linear factor x + a, where a is just some number. As a result of the long polynomial division, you end up with some polynomial answer q(x) (the "q" standing for "the quotient polynomial") and some polynomial remainder r(x).

P(x)= (x+/-a) q(x)+r(x)

P(x)=(x+a) q(x)+r(x). Note that for x=-a

P(-a)=(-a+a) q(-a)+r(-a)= 0* q(-a)+ r(-a)

P(-a)=r(-a)

It means that P(-a) is the remainder not P(a)

Thus the given statement is false....

7 0
3 years ago
Use the number line to represent. -4 1/2 + 3 1/4. what is the sum?
dlinn [17]

Answer:

\displaystyle A+B=-\frac{5}{4}

Step-by-step explanation:

<u>The Number Line</u>

Let's call

\displaystyle A=-4\frac{1}{2}

\displaystyle B=+3\frac{1}{4}

Both numbers are given as mixed fractions. Let's convert them to improper fractions:

\displaystyle A=-4\frac{1}{2}=-(4+\frac{1}{2})=-\frac{8+1}{2}=-\frac{9}{2}

\displaystyle B=3\frac{1}{4}=3+\frac{1}{4}=\frac{12+1}{4}=\frac{13}{4}

The decimal values are A = -9/2=-4.5, B=13/4 = 3.25

Now represent the points in the number line. See the image below

Finally, calculate their sum:

\displaystyle A+B=-\frac{9}{2}+\frac{13}{4}

\displaystyle A+B=-\frac{18}{4}+\frac{13}{4}=\frac{-18+13}{4}

\boxed{\displaystyle A+B=-\frac{5}{4}}

4 0
2 years ago
7. What is the prime factorization of 140?<br>A. 22.3.7<br>B. 23.7<br>D22 57​
OlgaM077 [116]

Answer:

D

Step-by-step explanation:

140=2 times 2 times 5 times 7

all of which are prime numbers

so yah

<em><u>D</u></em>

3 0
2 years ago
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