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Alenkinab [10]
2 years ago
7

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

Mathematics
2 answers:
dmitriy555 [2]2 years ago
4 0
C would be the correct answer because the scale number is 3 so if you take the base side of the first figure (21) and divide it by the scale number (3) you will get the base side of the smaller shape (7)

C. SIDE A IS 7 INCHES LONG AND SIDE B IS 6 INCHES LONG
patriot [66]2 years ago
3 0
C would be the best answer
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Write an equation of the line that passes through<br> each<br> pair of points<br> (1,3)(-3,-5)
marta [7]

Answer: y =2x + 1

Step-by-step explanation: just use y=mx + b to find the equation

8 0
3 years ago
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
Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)?
jeka94
It is a POINT. A single dot you can locate on a coordinate plane is a point.
4 0
3 years ago
Read 2 more answers
Lynnette wrote Randall a check for $368.91, and Randall deposited the check
Studentka2010 [4]

Answer: D. Only in the front of the check

Step-by-step explanation:

The one giving the check signs on the front. The one endorsing it and depositing it signs on the back.

7 0
3 years ago
What is the unit rate for 14 lb for $2.99
Alexeev081 [22]
How much for 1lb
2.99/14=0.213/1=$0.21

it is 21 cents per lb
4 0
3 years ago
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