Answer:
The area is 48 cm^2
Step-by-step explanation:
The formula for area of a triangle is
A = 1/2 b*h
A = 1/2 * 8cm*12cm
A = 1/2 *96cm^2
A = 48 cm^2
The area is 48 cm^2
X + 5
———
3x+2
Steps:
Factor 3x^2 + 13x - 10: (3x -2)(x + 5)
(3x -2)(x+5)
= —————
9x^2 - 4
Factor 9x^2 - 4 (3x - 2)(3x-2)
Answer:
The standard deviation of the sample mean is 4 minutes
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The standard deviation of the population is 32.
Sample of 64.
So

The standard deviation of the sample mean is 4 minutes