Answer:
b.
Step-by-step explanation:
Seats to minutes = 2 to 11:
2/11 = s/m.
When s = 16:
2/11 = 16/m
m = 11*16 / 2
= 176/2
= 88 minutes.
When s = 19:
2/11 = 19 / m
m = 11*19 / 2
m = 209/2
= 104.5 minutes.
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
Answer:
Step-by-step explanation:
Information given
n=370 represent the sample selected
estimated proportion of readers owned a laptop
is the value that we want to test
z would represent the statistic
represent the p value
Creating the hypothesis
We need to conduct a hypothesis in order to test if the true proportion of readers owned a laptop is different from 0.45, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is:
(1)
Replacing we got:
Calculating the p value
We have a bilateral test so then the p value would be:
The answer is 1/4, there are 4 options and the baseball cards are one selection.
Answer:
The percent of time that was spent on reading is 12%
Step-by-step explanation:
To figure this question out, first add up all of the known percentages. So for this question, this would be: 11 + 28 + 22+ 15 + 12, or 88. The total of all the percentages must be equal to 100%. So, subtract the sum of all the known percentages from 100.
100 - 88 = 12%
Hope this helps! ^-^
