To find the scale factor, divide any part of the figure A'B'C'D' (the image) over the corresponding part of ABCD (preimage)
In this case, we know what CD and C'D' are, so we can say...
scale factor = (length of C'D')/(length of CD)
scale factor = (8)/(14)
scale factor = 4/7
Answer: 4/7
Answer:
For a height of 66 inches, Z = 0.65.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average height was about 64.3 inches; the SD was about 2.6 inches.
This means that ![\mu = 64.3, \sigma = 2.6](https://tex.z-dn.net/?f=%5Cmu%20%3D%2064.3%2C%20%5Csigma%20%3D%202.6)
66 inches:
The z-score for a height of 66 inches is:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{66 - 64.3}{2.6}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B66%20-%2064.3%7D%7B2.6%7D)
![Z = 0.65](https://tex.z-dn.net/?f=Z%20%3D%200.65)
For a height of 66 inches, Z = 0.65.
Answer:
the value of x and y is 3 and -1 respectively.
Step-by-step explanation:
from the question
let
2x + 3y = 3........................ equation 1
y = 8 - 3x.............................. equation 2
put y = 8 - 3x in equation 1
2x + 3y = 3........................ equation 1
2x + 3 ( 8 - 3x) = 3
2x + 24 - 9x = 3
24 - 7x = 3
24 = 3 + 7x
24 -3 = 7x
21 = 7x
divide both sides by 7
x = 3
put x = 3 in equation 2
y = 8 - 3x.............................. equation 2
y = 8 - 3 ( 3)
y = 8 -9
y = -1
therefore the value of x and y is 3 and -1 respectively.
Answer:
I can’t see the picture well please make it more detailed
Step-by-step explanation:
Hope this explains it a little better