Answer:
157079.6
Step-by-step explanation the formula to find volume of a cylinder is pi radius squared(half of diameter) times height.
Answer:
37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade
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 is the probability that randomly selected homework will require between 8 and 12 minutes to grade?
This is the pvalue of Z when X = 12 subtracted by the pvalue of Z when X = 8. So
X = 12



has a pvalue of 0.4052
X = 8



has a pvalue of 0.0329
0.4052 - 0.0329 = 0.3723
37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade
Answer:
4 feet by 3 feet
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
width-to -height ratio of 16:9
Let analyse all possible answers:
16 divided by 4 is the same as 9 divided by 3 => it is true
16 divided by 28 is different as 9 divided by 21 => it is wrong
- 48 centimeters by 27 centimeters
16 divided by 48 is different as 9 divided by 27 => it is wrong
16 divided by 26 is different as 9 divided by 219=> it is wrong
We choose A.
Hope it will find you well.
Two points on slide are (0, 80), (5, 40).
Step-by-step explanation:
The graph shows the side view of a waterslide and its dimensions are in feet.
First to find (0, ___) and then to find (____, 40).
In the first point <em>x</em>-coordinate is 0 and <em>y</em>-coordinate for the corresponding <em>x</em>-coordinate is 80.
In the second point <em>y</em>-coordinate is 40 and the <em>x</em>-coordinate for the corresponding <em>y</em>-coordinate is 5.
So, the two points are (0, 80), (5, 40).
We know that
Applying the law of cosines:
<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a,b and c are sides of the triangle and C is the angle opposite side c </span>
<span>that is </span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>
<span>solve for C </span>
<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500-57,600-40,000 = -96,000cos(C)
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)--------> C=38.53°°
<span>hence, </span>
<span>he should turn in the direction of island b by
180 - 38.53 </span><span>= 141.47 degrees</span>