Answer:
∫₋₃¹ π y⁴ dy
Step-by-step explanation:
If we slice the solid shape, we get circular cross sections or disks. The thickness of each disk is dy. The radius of each disk is x. So the volume of each disk is:
dV = π r² h
dV = π x² dy
Since x = y²:
dV = π y⁴ dy
The total volume is the sum of all the disks from y=-3 to y=1.
V = ∫ dV
V = ∫₋₃¹ π y⁴ dy
Answer:
$521.58 < μ < $666.1
Step-by-step explanation:
Spring break can be a very expensive holiday. A sample of 80 students is surveyed, and the average amount spent by students on travel and beverages is $593.84 at 92% confidence level. The sample standard deviation is approximately $369.34. Is $521.58 ≤μ≤ $666.10 correct?
Given that:
number of samples (n) = 80 students, mean (μ) = $593.84, standard deviation (σ) = $369.34, confidence level (c) = 92% = 0.92.
α = 1 - c = 1 - 0.92 = 0.08
the z score of 0.46 (0.5 - 0.04) is the same as the z score of 0.04. This is gotten from the Normal Distribution Table.
Therefore,
The margin of error (e) is given as:
The confidence interval = (μ - e, μ + e) = ($593.84 - $72.26, $593.84 + $72.26) = ($521.58, $666.1)
The confidence interval is $521.58 < μ < $666.1
Answer:
a=2s-b-c
Step-by-step explanation:
s= (a+b+c)/2
2s=a+b+c
a=2s-a-b
Answer:
24
Step-by-step explanation:
i answered it and it was correct
your welcome! :)
Answer: 1.8446
Step-by-step explanation:
Given claim :
Sample size :
Sample mean :
Standard deviation :
The test statistic for population mean is given by :-
Hence, the value of test statistic = 1.8446