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Mila [183]
3 years ago
11

Combine like terms to create an equivalent expression

Mathematics
1 answer:
klasskru [66]3 years ago
7 0

Answer:

1/6a-1/6

Step-by-step explanation:

-2/3 transferred into 6th's is -4/6. You combine like terms, -4/6a+5/6a=1/6a

Then since -1/6 doesn't have a like term, it stays the same.

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The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a n
xz_007 [3.2K]

Answer:

(15,595, 16,805)

Step-by-step explanation:

We have to:

m = 16.2, sd = 3.75, n = 150

m is the mean, sd is the standard deviation and n is the sample size.

the degree of freedom would be:

n - 1 = 150 - 1 = 149

df = 149

at 95% confidence level the t is:

alpha = 1 - 95% = 1 - 0.95 = 0.05

alpha / 2 = 0.05 / 2 = 0.025

now well for t alpha / 2 (0.025) and df (149) = t = 1,976

the margin of error = E = t * sd / (n ^ (1/2))

replacing:

E = 1,976 * 3.75 / (150 ^ (1/2))

E = 0.605

The 95% confidence interval estimate of the popilation mean is:

m - E <u <m + E

16.2 - 0.605 <u <16.2 + 0.605

15,595 <u <16,805

(15,595, 16,805)

5 0
3 years ago
line AB passes through points A(-6,6) and B(12,3) if the equation of the line is written in slope intercept form
Paul [167]
Y=(-1/6)x+5
m=(y2-y1)/(x2-x1)
m=(3-6)/(12-(-6))
m=(-3)/(18)
m=-1/6
y=mx+b
y=(-1/6)x+b
6=(-1/6)(-6)+b
6=1+b
b=5
y=(-1/6)x+5
7 0
3 years ago
Factor the expression using the GCF. The expression 21m−49n factored using the GCF is...
Roman55 [17]

Answer:  7(3m - 7n)

<u>Step-by-step explanation:</u>

Factor each term then see what value(s) they have in common:

          21m         -          49n

            ∧                        ∧

          3 · 7 · m              7 · 7 · n

Both terms have a 7 in common.  What is left over after removing the 7?

21m: 7(3m)

49n: 7(7n)

GCF: 7           Leftovers: 3m <em>and</em>  7n

Factored form of expression is: 7(3m - 7n)

6 0
2 years ago
Read 2 more answers
What is the value of A and B find the square root of two times the square root of 14 equals a multiplied by the square root of B
Salsk061 [2.6K]

What is the value of A and B find the square root of two times the square root of 14 equals a multiplied by the square root of BWhat is the value of A and B find the square root of two times the square root of 14 equals a multiplied by the square root of BB) x= -13/2

C) x=25/28

D) x=-7/20What is the value of A and B find the square root of two times the square root of 14 equals a multiplied by the square root of B14Which equation below compares the amount of medicine, S, in Sofia’s system with the amount of medicine, L, in Lexi’s system? L = 16 x S S = 16 x L L = 4 + S S = 4 + L16What is the value of A and B find the square root of two times the square root of 14 equals a multiplied by the square root of B14What is the value of A and B find the square root of two times the square root of 14 equals a multiplied by the square root of BB) x= -13/2

C) x=25/28

D) x=-7/20

6 0
2 years ago
Find (gof)(3)<br> f(x) = |x+2|<br> g(x) = -x^2<br><br> A. -25<br> B. 1 <br> C. 4<br> D. -15
Ksenya-84 [330]

Answer:

A

Step-by-step explanation:

to find (g ○ f)(3) , evaluate f(3) and substitute the value obtained into g(x)

f(3) = | 3 + 2 | = 5 , then

g(5) = - 5² = - 25

3 0
2 years ago
Read 2 more answers
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