Answer:
The mean is 95 and the standard deviation is 2
Step-by-step explanation:
Central Limit Theorem
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 question:
Population:
Mean 95, Standard deviation 12
Samples of size 36:
By the Central Limit Theorem,
Mean 95
Standard deviation 
Answer:
3
Step-by-step explanation:
The dilation factor is 3
We are given a figure with several given expressions:
EK = x + 5
KJ = x +5
FG = 2x
GH = 3x - 5
Assuming that the triangle is equilateral:
equate GH = FG
3x - 5 = 2x
solve for x
x = 5
therefore, one side of the triangle:
x + 5 + x + 5 = 20
and the perimeter of the equilateral triangle is
3*one side = 3 * 20 units
Thus, Perimeter = 60 units. <span />
You have to multiply 42x60 then add it to 35 then subtract the answer minus 10. Then multiply 60x5. Lastly you get both answers and add them I hope this is right
First, remove the parentheses:
7x+7=1
Then, subtract 7 from both sides of the problem.
7x-6
Then, divide 7 from 7x, and divide 7 to -6.
x= -6/7 or -0.85