Let h=height of water
Let r=radius of water surface
r/h=16/8 =2, so r=2h.
The volume of water is:
v=(1/3)×π×r²×h
=(1/3)×π×(2h)²×h
=4/3πh³
dv/dh=4πh^2
By chain rule:
dv/dt=dv/dh×dh/dt
but
dv/dt=4
thus:
4=(4πh)×dh/dt
dh/dt=4/(4πh²)
when h=6cm we have:
dh/dt=4/(4π6²)
=0.00884 cm³/min
SOLUTION:
2x - 17 ≥ 29
2x ≥ 29 + 17
2x ≥ 46
x ≥ 46 / 2
x ≥ 23
Hope this helps! :)
Have a lovely day! <3
Answer:
You need to draw a data chart and plug in the coordinates brainliest?
Step-by-step explanation:
L = Lower box tickets amount.
U = Upper box tickets amount.
we know the whole amount sold were 254 of both, thus
L + U = 254.
since we know the price of L is 12.5 for each, then the amount of money sold total for all of them has to be 12.5 * L, or
12.5L.
and the U is 10, so its total amount of money for it is
10U.
we also know that the total amount for both spent was 2745, thus
12.5L + 10U = 2745.
so, 172 Upper box tickets were sold then.
how many Lower box tickets were sold? well,
L = 254 - U
Answer:
"If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be more than 36%?"
Step-by-step explanation:
The third option. When running the hypothesis test, you are comparing your sample size (of the campus) to the known sample size (the results given by the Pew Research Center). The results of the test give you the probability of the sample happening by random chance. We always test for equality (the sample being equal to the population), so if we reject the null, there will be evidence to suggest that the population proportion is actually more, given that the sample is an unbiased representation of the actual population