Just subtract the two numbers and the answer is 3.83 inches
AngleA= angle D
5x+2=87
5x=85
X=17
180-87-42=51
Angle C= angle F
3y=51
Y=17
Answer:
0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years
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:

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.
A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year
This means that 
What is the probability that a given battery will last between 2.3 and 3.6 years?
This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So
X = 3.6



has a p-value of 0.8849
X = 2.3



has a p-value of 0.0808
0.8849 - 0.0808 = 0.8041
0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years
1.4
To make a percent a decimal, divide it by 100.
140 ÷ 100
= 1.4
♧
Answer: (4,8) which is choice A
f = 2/3 is the scale factor
x = 6 and y = 12 pair up to get the coordinates for point K's location
multiply f by x and y to get the new location
f*x = (2/3)*6 = (2/3)*(6/1) = (2*6)/(3*1) = 12/3 = 4
f*y = (2/3)*12 = (2/3)*(12/1) = (2*12)/(3*1) = 24/3 = 8
The results we get are 4 and 8. So (6,12) moves to (4,8)
This scale factor 2/3 = 0.667 is less than 1, so the image is smaller compared to the pre-image.