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zaharov [31]
2 years ago
6

X2 +8x+16=0 in factoring algorithm

Mathematics
1 answer:
Setler79 [48]2 years ago
4 0

Answer:

(x+4)^2 =0

Step-by-step explanation:

x2 +8x+16=0

What 2 numbers multiply to 16 and add to 8

4*4 = 16

4+4 =8

(x+4) (x+4) =0

(x+4)^2 =0

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2. To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. a. Would you
ANEK [815]

Answer:

Step-by-step explanation:

a.

Size of the population, N = 4000

Size of the sample, n = 40

n/N = 40/4000 = 0.01

0.01 is less than 0.05 and hence we would not us the finite population correction factor in calculating the standard error of the mean.

b.

Population standard deviation is σ = 8.2

<u>So, the standard error of x’ using the finite population correction factor is give by</u>

σ(x’) = √[(N - n)/(N - 1)] x (sigma/√n)

σ(x’) = √[(4000 - 40)/(4000 - 1)] x (8.2/√40)

σ(x’) = 1.29

<u>Standard error of x’ without using the finite population correction factor is</u>

σ(x’) = σ/√n

σ(x’) = 8.2/√40 = 1.2965

<u>There is little difference between the two values of the standard error. So we can ignore the population correction factor.</u>

c.

Let the population mean be μ

Probability that the sample mean will be within =-2 of the population mean is

P(μ– 2 < x’ < μ + 2)

At x’ = μ – 2 , we have

z = (μ – 2 – μ)/1.2965

z = -1.54

at x’ = μ  + 2, we have

z = (μ + 2 – μ)/1.2965

z = 1.54

<u>So the required probability is </u>

P(μ – 2 < x’ < μ + 2) = p(-1.54< z < 1.54)

P(μ – 2 < x’ < μ + 2) = p(z < 1.54) – p(z < -1.54)

P(μ – 2 < x’ < μ + 2) = 0.9382 – 0.0618

P(μ – 2 < x’ < μ + 2) = 0.8764

7 0
3 years ago
Multiply both sides of the each equation in order to get the coefficient to be an integer.
monitta
45= \frac{1}{2}a-3  //+3 \\ 48= \frac{1}{2} a// : \frac{1}{2} \\ 48: \frac{1}{2}=a=\ \textgreater \ 48*2=a=\ \textgreater \ a=96
Hope that helps.Have a nice day!! ^^
5 0
2 years ago
Read 2 more answers
I NEED HELP PLEASE HURRY Type the correct answer in the box. Use numerals instead of words. If necessary use / for the fraction
mart [117]
(y+1), since 5y2-2y-7=(5y-7)(y+1)
3 0
2 years ago
Read 2 more answers
If 3/15 is equivalent to 45/n. find n
Radda [10]

Answer:

n = 225

Step-by-step explanation:

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3 0
2 years ago
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A movie streaming website charges an initial fee of $80, plus $4 for each movie that is streamed. How many movies must be stream
pochemuha

Answer:

80 movies must be streamed.

Step-by-step explanation:

To find the average cost, you must divide the total cost by the number of movies watched.

When you watch 1 movie, you pay the initial fee of $80 plus a $4 purchase of the film.

The equation is shown as such:

average cost = (total cost)/(number of movies)

Your total cost can be represented as 4x + 80, while the number of movies is represented as x.

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simplifying this, we get

5 = 4 + \frac{80}{x}

which can then be simplified to

1 = \frac{80}{x}

X = 80 movies.

4 0
3 years ago
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