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True [87]
3 years ago
10

Lynn plotted point G, 3 units to the left and 2 units above point F. Where did lynn plot point G?

Mathematics
1 answer:
kvasek [131]3 years ago
4 0

Answer:

G = (2,6)

Step-by-step explanation:

See Attachment for Complete Question

From the attachment, we can see that F is plotted at

F = (5,4)

On the x axis, G is 3 units to the left;

And on the y axis, G is 2 units above

So, the coordinates of G is calculated as:

G = (5-3,4+2)

G = (2,6)

Hence:

<em>G is plotted at (2,6)</em>

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A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck drive in an hour.
kolbaska11 [484]

Answer:

About 64 Miles

Step-by-step explanation:

I think you just divide the miles by minutes which is about 1.06 then x 60 = 64

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Need ANSWER ASAPpppp
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C). In step 2, he needed to divide both sides of the equation by 5.

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Point A is the midpoint of CT which means the ratio of CA:CT would be 1:2.
To find CT, you need to find the distance of CA then applies 2 times of the distance to the point C

Xca= Xa-Xc= 1- (-2)= 3
Yca= Ya- Yc= -3 -5= -8

Xt= Xc + 2* Xca= -2 + 2*3= 4
Yt= Yc + 2* Yca= 5 + 2*-8= -11
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The coordinate for point T would be (4, -11)
8 0
3 years ago
65 POINTS PLEASE HELP
miskamm [114]

Answer:

        1  

= -----------

   6(x + 7)

Step-by-step explanation:

3x - 21      x^2 - 49

----------- ÷ -------------

18x - 18        x - 1

3x - 21          x - 1

----------- ×  -------------

18x - 18       x^2 - 49

Factor the top left:

3x - 21  = 3(x - 7)

Factor the bottom left:

18x - 18 = 18(x - 1)

Factor the new bottom right:

x^2 - 49 = (x + 7)(x - 7)

Multiply and simplify the faction:

3(x - 7)            x - 1

----------- ×  -----------------

18(x - 1)       (x + 7)(x - 7)

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Assume that X is normally distributed with a mean of 20 and a standard deviation of 2. Determine the following. (a) P(X 24) (b)
Tems11 [23]

Answer:

a) P( X < 24 ) =  0.9772

b) P ( X > 18 ) =0.8413

c) P ( 14 < X < 26) = 0.9973

d)  P ( 14 < X < 26)  = 0.9973

e) P ( 16 < X < 20)  = 0.4772

f) P ( 20 < X < 26)  =  0.4987

Step-by-step explanation:

Given:

- Mean of the distribution u = 20

- standard deviation sigma = 2

Find:

a. P ( X  < 24 )

b. P ( X  > 18 )

c. P ( 18 < X  < 22 )

d. P ( 14 < X  < 26 )

e. P ( 16 < X  < 20 )

f. P ( 20 < X  < 26 )

Solution:

- We will declare a random variable X that follows a normal distribution

                                   X ~ N ( 20 , 2 )

- After defining our variable X follows a normal distribution. We can compute the probabilities as follows:

a) P ( X < 24 ) ?

- Compute the Z-score value as follows:

                                   Z = (24 - 20) / 2 = 2

- Now use the Z-score tables and look for z = 2:

                                   P( X < 24 ) = P ( Z < 2) = 0.9772

b) P ( X > 18 ) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

- Now use the Z-score tables and look for Z = -1:

                    P ( X > 18 ) = P ( Z > -1) = 0.8413

c) P ( 18 < X < 22) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

                                   Z = (22 - 20) / 2 = 1

- Now use the Z-score tables and look for z = -1 and z = 1:

                   P ( 18 < X < 22)  = P ( -1 < Z < 1) = 0.6827

d) P ( 14 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (14 - 20) / 2 = -3

                                   Z = (26 - 20) / 2 = 3

- Now use the Z-score tables and look for z = -3 and z = 3:

                   P ( 14 < X < 26)  = P ( -3 < Z < 3) = 0.9973

e) P ( 16 < X < 20) ?

- Compute the Z-score values as follows:

                                   Z = (16 - 20) / 2 = -2

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = -2 and z = 0:

                   P ( 16 < X < 20)  = P ( -2 < Z < 0) = 0.4772

f) P ( 20 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (26 - 20) / 2 = 3

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = 0 and z = 3:

                   P ( 20 < X < 26)  = P ( 0 < Z < 3) = 0.4987

8 0
3 years ago
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