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Sergeeva-Olga [200]
3 years ago
15

In the xy-coordinate system, points (2, 9) and (-1, 0) lie on line k. If the point (n, 21) lies on line k, what is the value of

n?
A. 6
B. 7
C. 8
D. 9
E. 10
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Since they lie on the same line, it means that they are collinear.

Since they are collinear, the value of the slope between each 2 point is the same. Hence, we can have points PQR with the slopes PQ, PR and QR being the same.

The general formula for finding the slope of a line with 2 end points is :

m = (y2 - y1)/(x2 - x1)

using the first two points,

m = (0 - 9)/-1 -2 = -9/-3 = 3

Now to get the value of n. We can use the second point and the point containing n.

This means:

3 = (21 - 0)/(n + 1)

3 = 21/n + 1

3n + 3 = 21

3n = 18

n = 6

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A political scientist wants to know how college students feel about the Social Security system. She obtains a list of the 3456 u
Marina CMI [18]

Answer:

For this case the population is described as:

All the college students

And the political have a list of 3456 undergraduates at her college for the sampling frame.

The sample would be the 104 students who return the survey.

Is important to notice that since he know the information about her college she can apply inference about the parameter of interest just at her college and not about all the possible students of college.

Step-by-step explanation:

For this case the population is described as:

All the college students

And the political have a list of 3456 undergraduates at her college for the sampling frame.

The sample would be the 104 students who return the survey.

Is important to notice that since he know the information about her college she can apply inference about the parameter of interest just at her college and not about all the possible students of college.

For this case we can also find the non reponse rate since we know that the total of questionnaires are 250 and she got back just 104 answered

Non-resp. = \frac{250-104}{250} = \frac{146}{250}= 0.584

So we have a non response rate of 58.4 %

4 0
3 years ago
Suppose that 10% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeown
guapka [62]

Remainder of question:

Find the probability distribution of x

Answer:

The random variable x is defined as: X = {0, 1, 2, 3, 4}

The probability distribution of X:

P(X = 0) = 0.656

P(X = 1) = 0.2916

P(X= 2) = 0.0486

P(X=3) = 0.0036

P(X = 4) = 0.0001

Step-by-step explanation:

Sample size, n = 4

Random variable, X = {0, 1, 2, 3, 4}

10% (0.1) of the homeowners are insured against earthquake, p = 0.1

Proportion of homeowners who are not insured against earthquake, q = 1 - 0.1

q = 0.9

Probability distribution of x,

P(X = r) = ^nC_r *p^r q^{n-r} \\\\P(X= 0) =(^4C_0 *p^1 q^4 )\\P(X=0) = (^4C_0 *0.1^0 0.9^4 ) = 0.656\\P(X= 1)= (^4C_1 *p^1 q^3 )\\P(X=1) = (^4C_1 *0.1^1 0.9^3 ) = 0.2916\\P(X= 2)=( ^4C_2 *p^2 q^2) \\P(X=2) = (^4C_2 *0.1^2 0.9^2 ) = 0.0486\\P(X= 3) = (^4C_3 *p^3 q^3) \\ P(X=3) = (^4C_3 *0.1^3 0.9^1 ) = 0.0036\\P(X= 4) =  (^4C_4 *p^4 q^0 )\\ P(X=4) =(^4C_4 *0.1^4 0.9^0 ) = 0.0001

5 0
3 years ago
PLEASE ANSWER ITS IMPORTANT
muminat
So I don’t know if that’s a comma or period..

If it’s 25% of 200,00= $50,000 is what she gets

If it’s 25% of 200= $50 is what she get
5 0
2 years ago
Victor always runs out of money by the end of the month, so he wants to start keeping a budget. Last month, he spent a total of
Sholpan [36]

Answer:

Yearly budget= $3840

Monthly budget= $320

Step-by-step explanation:

His budget will be calculated first by rounding off to the nearest$10 all his monthly spending.

For groceries= $176.47

Round off=$ 180.00

For phone =$ 78.66

Round off = $80.00

For gas = $62.37

Round off= $60.00

His total round off = $180+$80+$60

His total round off = $320

Before the round off, his total spending was $176.47+$78.66+$62.37

= $317.5

So his monthly budget should be $320

And yearly budget =$ 320*12

Yearly budget= $3840

4 0
2 years ago
Geometry math question please help
Nikolay [14]

AD is perpendicular to BC so slope Ad = -1/slope of BC

Slope of BC = (2 - (-1)) / (- 6- 3) = 3 / -9 = -1/3

So slope of AD = -1 / (-1/3) = -3/-1 = 3 Answer

4 0
2 years ago
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