Answer:
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Step-by-step explanation:
We use the central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, a sample size larger than 30 can be approximated to a normal distribution with mean and standard deviation 
So
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Using the distribution method:
x^2 + 12x - 8x = 14 + x^2 - 4x
x^2 + 4x = x^2 - 4x + 14
Now, I'm isolating x by moving all the x's onto one side of the equation:
x^2 - x^2 + 4x + 4x = 14
Combine like terms (x^2 cancels out):
8x = 14
x = 14/8
Simplified: x = 7/4
Answer:
The third side can be any length as long as it is greater than 4 in and less than 26 in
Step-by-step explanation:
we know that
The<u> Triangle Inequality Theorem</u>, states that The sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
x ----> the length of the third side
Applying the triangle inequality theorem
1) 11+15 > x
26 > x
rewrite
x < 26 in
2) 11+x > 15
x> 15-11
x > 4 in
therefore
Aziza's claim is incomplete
The third side can be any length as long as it is greater than 4 in and less than 26 in
Answer:
x=71
Step-by-step explanation:
(Base angle of an isosceles triangle)
