We know that
[volume of a sphere]=(4/3)*pi*r³-------> r=∛[(3*Volume)/(4*pi)]
r=∛[(3*Volume)/(4*pi)]------> r=∛[(3*3052.08)/(4*pi)]----> r=∛729
r=9 cm
[volume of a cylinder]=pi*r²*h
r=9 cm
h=2*r----> 2*9 -----> 18cm
[volume of a cylinder]=pi*r²*h----->pi*9²*18---> 4578.12 cm³
the answer is
4578 cm³
Answer:
Given expression is equal to 1/32
Step-by-step explanation:
Given that:
= 4^(-5/2)
To eliminate "-" sign we will invert the fraction as follows:
= (1/4)^ 5/2
Or it can be written as:
= 
This is the simplified expression.
i hope it will help you!
Answer:
The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
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 = 10 - 1 = 9
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.2622
The margin of error is:
M = T*s = 2.2622*0.3 = 0.68
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF
The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF
The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF
Answer:
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Step-by-step explanation:
Hello, to be the correct equation of line the given equation must satisfy all the points lying on that line.
I've solved all the equation for given both the points and concluded Option B & C are the correct equation for the line. The image of solution I'm attaching with this answer.
