The shape of the water is that of a "spherical cap." The formula for the volume of a spherical cap is ...
... V = π·h²·(r -h/3) . . . . . . . from web search
For a radius of 5 in, this is
... V = π·h²·(5 -h/3) . . . . in³
_____
For h=0
... V = π·0²·(5 -0/3) = 0
For h=5 in
... V = π·(5 in)²·((5 -5/3) in) = (2/3)π·5³ in³ . . . . . the volume of a hemisphere of radius 5
Answer:
The hula hoop rolls 879 \text{ cm}879 cm.
Step-by-step explanation:
Alright, so to understand algebra
use PEMDAS
parenthasees
exponents (square roots count as exponents)
multiply or divide
add or subtract
basically try to isolate the unknown/vareable/xterm
so
3(2x-1)-10=8+5x (assuming you meant to type 8+5x and not 8=5x)
first distribute using distributive property
a(b+c)=ab+ac
3(2x-1)=3 times 2x+3 times -1=6x-3
6x-3-10=8+5x
add like terms
6x-13=8+5x
subtract 5x from both sides
x-13=8
add 13 to both sdies
x=21
Total cost: 148 x 79.5 = 11,766
7% of 11,766 = 11,766 x 7 = 82.362/100 = 823,62
so, his commision was of 823,62
Using the z-distribution, it is found that the p-value is of 1.
At the null hypothesis, it is tested <u>that the majority is not against the death penalty</u>, that is:

At the alternative hypothesis, it is <u>tested that the majority is against the death penalty</u>, that is:

The test statistic is given by:
In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
In this problem, the parameters are:
.
Then, the value of the <em>test statistic</em> is:



Using a z-distribution calculator, for a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, the p-value is of 1.
A similar problem is given at brainly.com/question/16313918