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3 years ago

What is the equation of a line that contains the points (8, –3) and (–8, 3)?

Mathematics

1 answer:

DerKrebs [107]3 years ago

8 0

Answer:

1. D y = 8

2. C y = −8

Step-by-step explanation:

1.Both points have y-coordinate 8, so the line is horizontal.

A horizontal line has equation y = k

where k is the y-coordinate of all of its points.

The y-coordinate of all points on this line is 8.

Answer: y = 8

2.A line with 0 slope is a horizontal line. All points on a horizontal line have the same y-coordinate.

A horizontal line has equation

y = k

where k is the y-coordinate of all of its points.

The y-coordinate of the given point is -8, so all points must have -8 as the y-coordinate.

Answer: y = -8

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Make a table of values fo each equation y=3/8x-5

Harlamova29_29 [7]

You can type that equation into a grphing calculator and get the table for from there or you can use desmos graphing calculator site and type in your equation to the column then hit the little settings icon and choose convert to table !!!

3 0

3 years ago

An urn initially contains 5 white and 7 black balls. Each time a ball is selected, its color is noted and it is replaced in the

iragen [17]

Answer:

A. P("Select 2 black balls and then select 2 white balls")=35/768

Step-by-step explanation:

A. First, we have to get an idea of what our experiment talks about:

If I take a black ball, then we note its color and put it back to the urn with 2 more balls of the same color.

So, every time that we take a ball the quantity of balls in the urn changes with the probability that we had before replacing. The first case (that the first ball you select is black) would go like this:

P("Select a black ball first try") = 7 (number of black balls)/12 (total of balls in the urn)

P(B₁)=7/12

Then, the amount of balls in the urn rise to 14 (12 + 2 balls added) and now the quantity of black balls it´s 9 (7 + 2 added). The urn currently has 9 black balls and 5 white balls, of course:

P("Select black ball second try after getting a black ball before") = 9 (number of black balls)/ 14 (total of balls in the urn)

P(B₁B₂)=9/14

<u>Notice that while we keep taking black balls, the quantity of white ball keeps constant</u> and, for the probability that we take a white ball, we just consider the change in the number of balls in the urn

P(B₁B₂W₃)=5/16

And now, we consider the new white balls that are put in the urn (2 white balls, for a total of 18 and 7 white balls):

P(B₁B₂W₃W₄)=7/18

Because all these probabilities are chained and everything comes from the first ball we choose <u>(if you use a tree diagram, they will be in the same branch</u>), we multiply the probabilities to find the probability that all happens in the same experiment:

P(B₁)*P(B₁B₂)*P(B₁B₂W₃)*P(B₁B₂W₃W₄) = 7/12 * 9/14 * 5/16 * 7/18 = 2205/48384

P(B₁)*P(B₁B₂)*P(B₁B₂W₃)*P(B₁B₂W₃W₄)=35/768

And this is the final answer

7 0

3 years ago

George has a bag with 4 mint sticks, 3 jelly treats, and 13 fruit tart chews. If he eats one piece every 5 minutes, what is the

slega [8]

Answer:

12/625 or 1.9%

Step-by-step explanation:

Adding all of the candy pieces together, you get 25, the denominator.

3/25*4/25=12/625

12/625=.0192

.0192*100=1.92%

5 0

4 years ago

2a. According to a Pew Research survey, about 25% of American adults are pessimistic about the future of marriage and the family

drek231 [11]

Answer: 0.4181807

Step-by-step explanation:

Probability that American adults are pessimistic about the future of marriage and the family: p= 0.25

Sample size n= 20

Let $\hat{p}$ be the sample proportion of American adults that are pessimistic about the future of marriage and the family.

$P(\hat{p}\leq0.23)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Hence, the required probability = 0.4181807

8 0

3 years ago

Pre-Calculus - Systems of Equations with 3 Variables please show work/steps

Tatiana [17]

Answer:

x = 10 , y = -7 , z = 1

Step-by-step explanation:

Solve the following system:

{x - 3 z = 7 | (equation 1)

2 x + y - 2 z = 11 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Swap equation 1 with equation 2: