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3 years ago

What is an equation of the line that passes through the points (1, 6) and (1, 2)?

Mathematics

1 answer:

victus00 [196]3 years ago

8 0

Answer:y = -5x + 11

Step-by-step explanation:

First, find the slope (m) of the line that passes through these points:

m = (1-6) / (2-1) = -5/1 = -5

Then use the point slope formula to find the equation of the line:

m = (y-y0)/(x-x0)

-5 = (y-1)/(x-2)

-5(x-2) = y-1

y - 1 = -5x+10

y = -5x + 11

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In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

4 years ago

Solve the system of equations. 8x – 3y = 1 –2x + 3y = 11 A. (–1, –3) B. (–1, 3) C. (2, 5) D. (5, 2)

Makovka662 [10]

Answer:

C. (2, 5)

Step-by-step explanation:

Looking at the answer choices, you can see that solving for y will tell you which choice is correct. We can eliminate x from the equations by adding 4 times the second equation to the first:

(8x -3y) +4(-2x +3y) = (1) +4(11) . . . . . adding the equations to eliminate x

9y = 45 . . . simplified; next we divide by 9

y = 5 . . . . . matches choice C

_____

Check

8(2) -3(5) = 16 -15 = 1

-2(2) +3(5) = -4 +15 = 11 . . . . the answer checks OK in both equations

4 0

3 years ago

What is the answer to 8=56, 7=42, 6=30, 5=20, 3=?

ozzi

8(7) = 56
7(6) = 42
6(5) = 30
5(4) = 20
4(3) = 12
3(2) = 6
∴ 3 = 6

7 0

3 years ago

Carlos's restaurant check is for $24.50. If he wants to add a 17% tip, what total amount should he pay?

Licemer1 [7]

First, convert the 17% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 17%) by 100%.So, the conversational term "17%" becomes 17% / 100% = 0.17 in terms of a real mathematical number.
Second, you need to find out what 17% of your $24.50 meal cost is.This is always done by multiplying 0.17 by $24.50

0.17 x $24.50=$4.16.
So, the amount of tip you are going to leave is $4.16.

This makes the total cost of your meal (to write on your charge slip or other payment)

$24.50 + $4.16 = $28.67.

7 0

3 years ago

Read 2 more answers

What is the interquartile range of this data? 6 8 9

vladimir1956 [14]

Answer:

Step-by-step explanation:

Just subtract the first quartile form the third quartile.

third quartile - first quartile

32 - 8 = 24 IQR

FIRST quartile: 8

SECOND quartile: 20

THIRD quartile: 32

So the IQR is 24

Hope this helps :)

3 0

3 years ago

Read 2 more answers