Answer:
15.39% of the scores are less than 450
Step-by-step explanation:
Problems of normally distributed samples are 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:

What percentage of the scores are less than 450?
This is the pvalue of Z when X = 450. So



has a pvalue of 0.1539
15.39% of the scores are less than 450
A = area of the circle
A = pi*r^2
A = pi*11^2
A = 121pi
-----
B = area of the rectangle
B = length*width
B = 6*4
B = 24
-----
C = blue shaded area
C = A - B
C = 121pi - 24 which is the exact area in terms of pi
C = 356.1327 is what you'd get if you used a calculator
C = 356.13 is the result after rounding to the nearest hundredth
<h3>The final answer is 356.13</h3>
Answer:
The slope is undefined and there is no y- intercept
Step-by-step explanation:
The line is equivelent to x=5
This is a vertical line so the slope is undefined and there is no y- intercept
A is 6:55
B is 37 Minutes
C is 15:12
Step-by-step explanation:
so basically its just adding minutes to a clock, like if its 1:00 o clock and 40 minutes pass it will be 1:40 or if its 12:00 and 25 minutes pass it will be 12:55. There's 60 minutes in an hour so if the time is, let's say, 12:45 and 30 minutes go by itd be 1:15.
C is a little more tricky but thats just because its military time.:) basically instead of going to 12 am to 1 pm it would go from 12:00 AM to 13:00 PM
Sonia saves a lot of water. To figure this out, you plug the number 8 into the equation, replacing it with the variable x. y = 3(8). Therefore, y=24. To find out how much water she saves, you have to also figure out how much water she was using for 8 minutes with the other shower head, the one that wastes the water. Since it dispenses 12 gallons per minute, you multiply that by 8 minutes and get 96. Subtract 24 from 96 and get 72. Which I think is your answer. Then again, I'm in high school so I most likely am wrong.