Answer:see the picture to better understand the problem
we know that
scale factor=12/8----> 1.5
volume larger pyramid=scale factor³*volume smaller pyramid
scale factor=1.5
volume smaller pyramid=52 in³
so
volume larger pyramid=1.5³*52-----> 175.5 in³
the answer is
175.5 in³
Step-by-step explanation:
here is your answer to your work plz let me know if your answer is right and plz rate me the most brainlest
Answer:
b. Student-t with 48 degrees of freedom
Step-by-step explanation:
For this case we need to use a Two Sample t Test: equal variances.
Assumptions
When running a two-sample equal-variance t-test, the basic assumptions are "that the distributions of the two populations are normal, and that the variances of the two distributions are the same".
Let 
and 
be the sample means of two sets of data of size 
and 
respectively. We assume that the distribution's of x and y are:
Both are normally distributed but without the variance equal for both populations.
The system of hypothesis can be:
Null hypothesis: 
Alternative hypothesis: 
We can define the following random variable:
The random variable t is distributed 
, with the degrees of freedom 
And the pooled variance can be founded with the following formula:
So on this case the best answer would be :
b. Student-t with 48 degrees of freedom
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Answer:
The total surface area of the pipe is 4123.31 cm²
Step-by-step explanation:
Total surface area (TSA) of a pipe is calculated as;
Outer area of the pipe + Inner area of the pipe + cross section of the two ends
TSA = 2πRL + 2πrL + 2π(R² - r²)
TSA = 2π(RL + rL + R² - r²)
where;
R is the outer radius
r is the inner radius
L is length of the pipe
Determine the length of the pipe
Outer surface area of the pipe is calculated as;
outer surface of the pipe = 2πRL
2514.2 = 2πRL
2514.2 = (2π x 5) L
2514.2 = 31.42 L
L = 2514.2 / 31.42
L = 80.02 cm
Finally, determine the total surface area of the pipe
TSA = 2π(RL + rL + R² - r²)
TSA = 2π(5x80.02 + 3x80.02 + 5² - 3²)
TSA = 2π(400.1 + 240.06 + 16)
TSA = 2π(656.16)
TSA = 4123.31 cm²
Therefore, the total surface area of the pipe is 4123.31 cm²
