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2 years ago

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Consider the given functions. Select the expression that will produce h(x). A. f(x) + f(x) B. f(x) − g(x) C. f(x) + g(x) D. g(x)

− f(x)

1 answer:

Liula [17]2 years ago

3 0

Answer:

here is your answer

Step-by-step explanation:

here is your answer

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In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two ind

liberstina [14]

Answer:

Step-by-step explanation:

Hello!

You have two populations of interest and want to compare them. If you define the study variables as:

X₁: average hourly wages of an employee of the Downtown store.

n₁= 25

X[bar]₁= $9

S₁= $2

X₂: average hourly wages of an employee of the North Mall store.

n₂= 20

X[bar]₂= $8

S₂= $1

Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:

95% CI for μ₁ - μ₂

(X[bar]₁-X[bar]₂) ± $t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )$

$Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}$

$Sa^2= \frac{24*4+19*1}{25+20-2}= 2.67$

Sa= 1.64

$t_{n_1-n_2-2;1-\alpha /2} = t_{43; 0.975} = 2.017$

(9-8)±2.017* $(1.64*\sqrt{\frac{1}{25} +\frac{1}{20} } )$

[0.007636;1.9923]

I hope it helps!

6 0

2 years ago

Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How f

Marrrta [24]

Answer:

$\frac{48}{r+9}=\frac{12}{r}$

Step-by-step explanation:

Let r represent Linda's walking rate.

We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be $t+9$ miles per hour.

$\text{Time}=\frac{\text{Distance}}{\text{Rate}}$

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.

$\text{Time while riding}=\frac{48}{r+9}$

$\text{Time taken while walking}=\frac{12}{r}$

Since both times are equal, so we will get:

$\frac{48}{r+9}=\frac{12}{r}$

Therefore, the equation $\frac{48}{r+9}=\frac{12}{r}$ can be used to solve the rates for given problem.

Cross multiply:

$48r=12r+108$

$48r-12r=12r-12r+108$

$36r=108$

$\frac{36r}{36}=\frac{108}{36}$

$r=3$

Therefore, Linda's walking at a rate of 3 miles per hour.

Linda's bike riding rate would be $t+9\Rightarrow 3+9=12$ miles per hour.

Therefore, Linda's riding the bike at a rate of 12 miles per hour.

7 0

2 years ago

What is the slope of (10,5) and (-2,-4)

postnew [5]

To find the slope, use the equation
m = (y2-y1)/(x2-x1)
Since we have 2 coordinates, we can use the formula.
m = (-4-5)/(-2-10) = (-9)/(-12) = 3/4. The slope is 3/4. Hope this helps.

3 0

1 year ago

Solve for w in P = 2w + 2l, if P = 38 and l = 12.

vova2212 [387]

W= 7

38=2w+2(12)
/
38=2w + 24
-24 -24

14=2w
divid by 2 divid by 2

7=w

4 0

2 years ago

Read 2 more answers

What is 88-y=289 answer fast!!!

balandron [24]

Y= -201 ...................

4 0

2 years ago