M stands for the slope of the line and b is called the y-intercept of the line
For the first one: A=pi*r^2*1/8 (1/8 becuase we are finding the area of one pane)
A=pi*16/8
A=2pi
For the second one: First do the larger circle minus the smaller circle (pretend they are whole circles)
A(larger)=pi*18^2
=324pi
A(smaller)=pi*8^2
=64pi
A=324pi-64pi =260pi
Now, a whole circle is 360 degrees so 150 degrees is 5/12 of a circle. We take 5/12 of 260pi to get the answer
260pi*5/12=340.3
If each painting takes 3 hours, and he has to do 8 then he would spend 24 hours doing all 8 portraits
Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So



has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics
Basically, the closer they fit to the imaginary line of best fit, the higher they are
the closer the dots are to the imaginary line, te higher the number
D looks the closest together so that is first
A is a little farther apart
C is farther
B is farthers
DACB is order