Answer:
h. 36
Step-by-step explanation:
For a 68.26% confidence, z = 1.0.
Standard deviation (s) = 30 minutes
The sample size needed to assure that the sample mean does not differ from the true mean by more than 5 minutes is given by:
The sample size needed is 36.
Answer:
x<=-1/2
Step-by-step explanation:
An inequality is a mathematical relationship that compares two unequal numbers using the number line
To solve the inequality 2x – 6 ≥ 6(x – 2) + 8
We first simplify both sides of the inequality
2x-6≥6x-12+8
2x-6≥6x-4
Add 6 to both sides
2x≥6x+2
-4x≥2
x≥2/-4
Sign changes when we divide both sides of equation by a negative sign
x<=-1/2
Therefore x is less than or equal to -1/2 on the number line
Answer:
Step-by-step explanation:
Given
--- interval
Required
The probability density of the volume of the cube
The volume of a cube is:
For a uniform distribution, we have:
and
implies that:
So, we have:
Solve
Recall that:
Make x the subject
So, the cumulative density is:
becomes
The CDF is:
Integrate
Expand
The density function of the volume F(v) is:
Differentiate F(x) to give:
So: