Answer:
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
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.
For the population, we have that:
Mean = 0.5
Standard deviaiton = 0.289
Sample of 12
By the Central Limit Theorem
Mean = 0.5
Standard deviation 
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
Answer:
6x^2 is the most simplified the expression can get
Answer:
4/12 = 1/3
8/12 = 2/3
Step-by-step explanation:
answer 1: 12 divided by 3 equals 4
answer 2: that number (4) multiplied by 2 equals 8
therefore four twelfths equal one third and eight twelfths equal two thirds
Answer:
B. TRUE.
(3, 2) is the intersection point of the graphs of
x + y = 5 and x - y = 1.
Step-by-step explanation:
Option B is TRUE because intersection point should satisfy both the equation
and in option be it comes true.
i.e x = 3 and y = 2 we have
3 + 2 = 5 and 3 - 2 = 1
5 = 5 and 1 = 1
Hence TRUE
A.
(3, 2) is the intersection point of the graphs of
3x + 2y = 5 and 3x - 2y = 1.
i.e x = 3 and y = 2 we have
3×3 + 2×2 = 5 and 3×3 - 2×2 = 1
13 ≠ 5 and 5 ≠ 1
Hence FALSE
C.
(5, 1) is the intersection point of the graphs of
3x + 2y = 5 and 3x - 2y = 1.
i.e x = 5 and y = 1 we have
3×5 + 2×3 = 5 and 3×5 - 2×3 = 1
21 ≠ 5 and 9 ≠ 1
Hence FALSE
D.
(5, 1) is the intersection point of the graphs of
x + y = 5 and x - y = 1.
i.e x = 5 and y = 1 we have
5 + 1 = 5 and 5 - 1 = 1
6 ≠ 5 and 4 ≠ 1
Hence FALSE
We know that
[area of <span>Martha's bathroom]=5*7-----> 35 ft</span>²
[area of one tiles]=(1/4)²-----> 1/16 ft²
if 1 tile has area of--------------> 1/16 ft²
x tiles---------------------------> 35 ft²
x=35/(1/16)-----> x=35*16-----> x=560 tiles
the answer is
560 tiles
