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IgorC [24]
3 years ago
8

Find the distance between two points -9,-5 and 0,7

Mathematics
2 answers:
Triss [41]3 years ago
5 0

Answer: 7 units

Step-by-step explanation: (2 -4) is 7 units away from (9 -4)

( 2 - 9 = 7 )

MaRk BiG bRaIn Or NoThInG.

Arada [10]3 years ago
3 0
To find the distance, you need to subtract the second point from the first one. So:

0 - (-9) = 9 ( two minuses turn into a positive)

And

7 - (-5) = 12

So the difference between the points is 9 units on the x- axis and 12 on the y-axis.

Hope this helped and pls mark as brainliest!

~Luna
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Graph a line that contains (-6,1) and has the slope of 5
xeze [42]

Answer:

y - 1 = 5(x+6)

y - 1 = 5x + 30

y = 5x + 29

8 0
3 years ago
A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm
disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC  evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let \mu = <em><u>true mean family income for Mexican migrants.</u></em>

So, Null Hypothesis, H_0 : \mu = $27,000     {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, H_A : \mu \neq $27,000     {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }  ~ t_2_4

                                     =  1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.</u>

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0
3 years ago
At a strawberry stand Luisa paid $4.50 for 2 pounds of strawberries. How much would you expect to pay for five pounds or strawbe
Daniel [21]

<u>Half</u> of 4.50 is 2.25, so for <u>one</u> pound it would be <u>$2.25</u>.

To calculate five pounds, you need to add 2.25+2.25+2.25+2.25+2.25 = <u>11.25</u>.

For <u>five</u> pounds of strawberry's, it would cost <u>$11.25</u>.

Hope this helped !

4 0
3 years ago
Read 2 more answers
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27,
Tanya [424]

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

y=\frac{27}{3}x\\y=9x

The constant of proportionality between y and x  is 9.

We want to determine which relationships have the same constant of proportionality 9.

<u>Option A</u>

y=9x

The constant of proportionality is 9.

<u>Option B</u>

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

<u>Option C</u>

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

<u>Option D</u>

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

<u>Option E</u>

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

4 0
2 years ago
The sum of three consecutive numbers is 498.what is the 3rd number
marshall27 [118]

Answer:

Denote 3 consecutive numbers as: (n-1), n, (n+1)

=> n - 1 + n + n + 1 = 498

=> 3*n = 498

=> n = 166

=> n + 1 = 166 + 1 = 167

=> 3rd number is 167

8 0
2 years ago
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