Answer:
706.85775
Step-by-step explanation:
First you find the volume of the tank
13*3.14159=40.84067
40.84067*75=3063.05025
Then find the volume of both the tank and sleeve
13+3=16
16*3.14159=50.26544
50.26544*75=3769.908
Subtract the original volume with the combined volume
3769.908-3063.05025=706.85775
Answer:
The friend's claim is not correct
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)
Example
A given line has a slope of
---> (is less than 1)
the slope of the line perpendicular to the given line is equal to

substitute


so
the perpendicular line don't have a positive slope
therefore
The friend's claim is not correct
Answer:
The sample size should be 273 students
Step-by-step explanation:
Here Raina wants to use 90% interval then
ME = z. SE
SE = s d/√n at end
ME/z = s d/√n
n={z.sd/ME)²
Z = 1.65 =>due to 90%confidence interval
ME= 24
sd=250
putting these value in the question we get 273 students
Answer with explanation:
Test Scores of Shania's in 8 subject are: 88, 91, 85, 74, 69, 72, 80, and 87.
To calculate mean we add all the variate and divide by total number of Variate in the data set.
So, Mean of the Data set

To calculate , how much the scores on her tests vary, on average, from the mean score
We will Calculate mean absolute Deviation.
To calculate it,we will find absolute difference of each variate from mean.
| 88 - 80.75|=7.25
|91-80.75|=10.25
|85 -80.75|=4.25
|74-80.75|=6.75
......
........
Then Shania should calculate mean of the new data set obtained,which is absolute difference of each variate from mean.
→The Measure that,Shania should use to find how much the scores on her tests vary, on average, from the mean score is:
Mean absolute deviation
Answer: C and E
Step-by-step explanation:
The plane starts at 32,460 feet.
It then ascends 1645 feet. Ascending means it's going up higher. So we add.
32,460 + 1645 = 34,105 (C)
From here (34,105 feet) the plane descends by 3/5 of it's height. Descending means it's lowering. So we subtract.
But first we have to figure out how much we are subtracting.
3/5 is equal to .6
Multiply to find 3/5 of current height.
34,105 × .6 = 20,463
So the plane descends by 20,463 feet.
34,105 - 20,463 = 13,642 feet (E)