Answer:
It is given that the volume of a cone = 
cubic units
Volume of cone with radius 'r' and height 'h' = 
Equating the given volumes, we get
=
It is given that the height is 'x' units.
Therefore, 
Therefore, r = 3x
So, the expression '3x' represents the radius of the cone's base in units.
Answer:
The answer is D) No; Y doesn't vary directly with x.
Step-by-step explanation:
It isn't A because:
y=2x:
2(2)=4=y Not true, 2(4)=8=y Not true, 2(6)=12=y Not true
It isn't B:
y=5x
5(2)= 10=y True, 5(4)=20=y Not true, 5(6)=30=y Not true
It isn't C:
y=7x
7(2)=14=y Not true, 7(4)=28=y Not true, 7(6)=42=y Not true
Answer:
11/24
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1. The two fractions now have like denominators so you can subtract the numerators.
This fraction cannot be reduced.
Therefore the answer is 11/24
Answer:
4th one
Step-by-step explanation:
Answer:
And the 96% confidence is given by (110.06; 117.34)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=9.1 represent the sample standard deviation
n=29 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence is 0.96 or 96%, the significance is 
and 
, and the critical value would be 
Replacing the info we got:
And the 96% confidence is given by (110.06; 117.34)
