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adoni [48]
2 years ago
5

Part I: Find the slope of the line that passes through the following points. (6 points; 2 points each) A (10, 4) and B (–2, –5)

C (–7, 1) and D (7, 8) E and F
———
Part II: Robert says that the slope of a line passing through (1, 7) and (3, 9) is equal to the ratio . Is this a correct method for calculating the slope? Explain your answer. (1 point)

Part III: Do the points in the following set lie on the same line? Explain your answer. Show all work. (4 points) A (1, 3) B (4, 2) C (–2, 4)
Mathematics
1 answer:
Nesterboy [21]2 years ago
6 0

Answer:

1.) Slope M are 3/4, 1/7

2.) No.

3.) No.

Step-by-step explanation:

1.) Slope M = change in y ÷ change in x

That is,

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

Given the following points:

A (10, 4) and B (–2, –5) C (–7, 1) and D (7, 8) E and F(-2, 2/3)

The slopeM between point A and B will be

M = (-5-4)/(-2-10)

M = -9/-12 = 3/4

The slope M between point C and D will be

M = (8-1)/(7+7)

M = 7/14 = 1/7

The slope M between point E and F will be

2.) The slope of a line passing through (1, 7) and (3, 9) will be

M = (9-7)/(3-1)

M = 2/2 = 1

But Robert say The ratio = (1-3)/(7-9) = 1

Though Robert will eventually get the Same value but that is not the correct method of calculating slope.

3.) Point A (1, 3) B (4, 2) C (–2, 4) do not lie on the same lines. If they do, they will all have the Same value for x or the same value for y.

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(d)
mash [69]

Answer: The 4 answers are x=18, x=3, x=48, x=81 1/2.

Step-by-step explanation: Isolate the variable by dividing by each side by factors that don't contain the variable.

6 0
2 years ago
What is the sum or whatever of this equation. This equation is V = πx3^2x8
navik [9.2K]

Answer:

V=226.08

Step-by-step explanation:

To evaluate V from the following expression:

V=\pi\times3^2\times 8

Taking \pi=3.14

V=3.14\times 3^2\times 8

V=3.14\times 9\times 8

∴ V=226.08

6 0
2 years ago
DONT FORGET TO GRAPH IT!! ALL ANSWERS THAT DONT ANSWER MY QUESTION, WILL BE REPORTED!
DaniilM [7]

Answer:

n ≥ 1/4

Step-by-step explanation:

I wish I could add a picture, but I can't, so you'll have to graph it by yourself.

6 0
2 years ago
A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the
Ahat [919]

Answer:Given:

P(A)=1/400

P(B|A)=9/10

P(B|~A)=1/10

By the law of complements,

P(~A)=1-P(A)=399/400

By the law of total probability,

P(B)=P(B|A)*P(A)+P(B|A)*P(~A)

=(9/10)*(1/400)+(1/10)*(399/400)

=51/500

Note: get used to working in fraction when doing probability.

(a) Find P(A|B):

By Baye's Theorem,

P(A|B)

=P(B|A)*P(A)/P(B)

=(9/10)*(1/400)/(51/500)

=3/136

(b) Find P(~A|~B)

We know that

P(~A)=1-P(A)=399/400

P(~B)=1-P(B)=133/136

P(A∩B)

=P(B|A)*P(A) [def. of cond. prob.]

=9/10*(1/400)

=9/4000

P(A∪B)

=P(A)+P(B)-P(A∩B)

=1/400+51/500-9/4000

=409/4000

P(~A|~B)

=P(~A∩~B)/P(~B)

=P(~A∪B)/P(~B)

=(1-P(A∪B)/(1-P(B)) [ law of complements ]

=(3591/4000) ÷ (449/500)

=3591/3592

The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

.~A .399 .3591 . 3990

Tot .408 .3592 . 4000

So P(A|B)=9/408=3/136

P(~A|~B)=3591/3592

As before.

Step-by-step explanation: its were the answer is

5 0
3 years ago
2. David and Josh both drove to their grandmother's birthday party. David drove 225 miles and made it in 3 hours. Josh drove 320
AnnyKZ [126]

Answer:

Josh was driving faster

Step-by-step explanation:

Josh was going faster becuase 320 divided by 4 is 80

and 225 divided by 3 is 75.

In conclusion Josh was going faster by 5mph.

6 0
3 years ago
Read 2 more answers
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