Answer:
d. 200 and 2
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:
Mean = 200
Standard deviation = 18
Sample size: 81
Standard error: 
So the correct answer is:
d. 200 and 2
Answer:
D - x = 19 x = -17
Step-by-step explanation:
Factor the equation to make the problem easier - you should have this:
(x - 18) (x + 18) = 1
Set each binomial to 1:
x - 18 = 1
x + 18 = 1
This should give you x = 19 and x = -17
Answer:
Area of the rectangle = 95 cm²
Step-by-step explanation:
Perimeter of the rectangle = Sum of the measures of the sides of the rectangle
From the figure attached,
Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]
39 = 2(5x + 2)
39 = 10x + 4
10x = 39 - 4
10x = 35
x = 3.5
Therefore, measure of the given sides will be,
Length = (3x - 1) cm
3x - 1 = (3×3.5) - 1
= 10.5 - 1
= 9.5 cm
Width = (2x + 3) cm
2x + 3 = (2×3.5) + 3
= 7 + 3
= 10 cm
Area of the rectangle = Length × width
= 9.5 × 10
= 95 cm²
Therefore, area of the rectangle is 95 cm².
the value of r of the geometric series n=11.3(0.8)n-1
General formula for nth term of any geometric series is 
Here 'r' is the common ratio
a_1 is the first term of the series
Now we compare the given formula with general formula
Compare with
The value of r= 0.8
