All categories

2 years ago

Write an equation of the line that passes through (18, 2) and is parallel to the line 3y - x = -12.

Mathematics

1 answer:

Alona [7]2 years ago

5 0

Answer:

3y=x-12

y=x/3-4

m=1/3

At (18,2)

y-2=1/3(x-18)

y-2=x/3 - 6

y=x/3 - 4

You might be interested in

How many months until they price is the same in 22 + 24.50x = 47 + 18.25x

solmaris [256]

I think 89 I don’t know why I am just guessing

8 0

3 years ago

Explain how the number line can

DochEvi [55]

9514 1404 393

Answer:

points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.

Step-by-step explanation:

The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.

Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...

-1.75, 2.50, -3.25, -3.50, 4.75

5 0

3 years ago

How to get the answer for 2 3/4 gallons and 5/8 to equal 1 23/32

Alecsey [184]

Answer:

jhwgehebf

Step-by-step explanation:

bwjsfehoal topu

7 0

2 years ago

Which equation is represented by the table? x y (x, y) 0 2 (0, 2) 1 –1 (1, –1) 2 –4 (2, –4) A. y = –2x B. y = x – 1 C. y = 2x D.

SashulF [63]

Answer: [D]: y = -3x + 2 .
__________________________________________________

4 0

3 years ago

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

5 0

3 years ago