Area of a square = Side × Side
Side = 7x-3
Area of the square = (7x-3) × (7x-3)
= 7x(7x-3) -3(7x-3)
= 49x^2 -21x -21x +9
=49x^2 -42x +9
Answer:
The mean of the sampling distribution of sample proportions will be 0.2
Step-by-step explanation:
Central Limit Theorem for Proportions:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation 
20% of American adults ages 25 and older had never been married.
This means that 
So the mean of the sampling distribution of sample proportions will be 0.2
Answer:
a) x = 3.0625m
y = 45.9375 m
b) A = 140.68359375 m²
Step-by-step explanation:
Let x be the length
Let y be the width
2x + 2y = 98
x + y = 49
y = 3(5x)
y = 15x
x + 15x = 49
16x = 49
x = 3.0625 m
y = 15(3.0625) = 45.9375
A = xy = 3.0625(45.9375) = 140.68359375
Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:

where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:

The ratio of the lateral area of the cone to the lateral area of the cylinder is:

Canceling out, we have:

Hence the Answer is option B
Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1
The probability that randomly selected thermometer reads greater than 2.07 is
P(z > 2.07) = 1 -P(z < 2.07)
Using z score table to find probability below z=2.07
P(Z < 2.07) = 0.9808
P(z > 2.07) = 1- 0.9808
P(z > 2.07) = 0.0192
The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192