9514 1404 393
Answer:
491,400 ft·lb
Step-by-step explanation:
The mass of the water is ...
M = Vρ = LWHρ = (25 ft)(15 ft)(7 ft)(62.4 lb/ft³) = 163,800 lb
The average depth is 3 ft, so the work required is equivalent to that required to raise this mass 3 ft.
W = (3 ft)(163,800 lb) = 491,400 ft·lb
Slope is the change in y over the change in x:
Slope = (y2 - y1) / (x2-x1)
Replace the letters in the equation with the given information:
1/2 = (1 - -1) / (15 -r)
Cross multiply:
1 * (15-r) = 2 * (1- -1)
Simplify:
15 -r = 4
Subtract 15 from each side:
-r = -11
Because r is negative, you need to multiply both sides by -1 to make r positive:
r = 11
Answer:
60
Step-by-step explanation:
x and 2x are linear pair angles.
Sum of linear pair angles is 180,
x + 2x = 180
3x = 180
x = 180 / 3
x = 60
Therefore,
the value of x is 60.
Answer:
Multiply
Step-by-step explanation:
Answer:
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 23 - 1 = 22
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0739
The margin of error is:
M = T*s
In which s is the standard deviation of the sample.
In this question:
s = 3.
Then
M = 2.0739*3 = 6.22
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.