Answer:
8
Step-by-step explanation:
2+6m+7=57
6m=57-7-2
6m=50-2
6m=48
m=48/6
m=8
Volume is defined as area of the base*the hight.
In this question the base is the traingles.
Area of a triangle is base*hight/2, so it 8*6/2= 24
Volume is 24*8(hight)=192
So the answer is 192cm^3
Answer:
For a sample size of 10, the t-value is about 3.25 (from tables) at a 99% confidence interval.
Explanation:
When the standard deviation for the population is not known, the confidence interval estimate for the population mean is performed with the Student's t-distribution.
The confidence interval for the mean is calculated as

where

= sample mean,
s = sample standard deviation,
t = t-value (provided in tables),
n = sample size.
When reading the t-value, (n-1) is called the df or degrees of freedom.
Answer:
5
Step-by-step explanation:
volume of the center sphere = 4/3*PI*r^3
r = 3 ( given in the picture)
so 4/3 * 3.14 *3^3 = 113.04 cubic feet
volume of 1 cone: pi *r^2 *h/3
r = 3 and h=3 ( given in the picture)
so 3.14 * 3^2 * 3/3 = 28.26 cubic feet
there are 4 cones so 28.26* 4 = 113.04 cubic feet
113.04 + 113.04 = 226.08 cubic feet
rounded to nearest cubic foot = 226 cubic feet