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2 years ago

Simplify the expression by combining like terms. -3y - 2 - 3 + 17y

Mathematics

1 answer:

Nookie1986 [14]2 years ago

4 0

Answer:

14y -5

Step-by-step explanation:

Given:

-3y - 2 - 3 + 17y (rearrange so that like terms are together)

= 17y - 3y -2 -3 (group like terms)

= (17y - 3y) + (-2 -3 ) simplify

= 14y + (-5)

= 14y -5

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The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

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2 years ago

In the town zoo, of the animals are birds. Of the

Andrej [43]

Answer:

i think there was a typo bc u didnt put the number of zoo animals

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the slope between these two points?<br> (0,13) and (-4,10)

DIA [1.3K]

First you will use the slope formula:
M= Rise/Run = Y2-Y1/X2-X1

(0,13) (-4,10)

10-13
——— = -3/4 = 3/4
-4-0.

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2 years ago

If f(x, y) = xy, find the gradient vector ∇f(2, 5) and use it to find the tangent line to the level curve f(x, y) = 10 at the po

hammer [34]

Answer:

Step-by-step explanation:

check attachment

f(x,y)=xy Δf(2,5)

fx=y = 5

fy=x = 2

Gradient Vector:

<5,2>

Tangent Vector:

0=fx(x-2) + fy(y-5)

0=5(x-3) + 2(y-2)

11=5x+2y

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2 years ago

Shiva brought $39.00 to the state fair. She bought a burger, a souvenir, and a pass. The burger was 1/3 as much as the souvenir,

777dan777 [17]

Pass = $21 , Souvenir = 2x/3 = $14 , Burger = x/6 =$3.5 .

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2 years ago