Answer:
The probability they have one boy and one girl = 0.50 = 50 %
Step-by-step explanation:
Here the family has two children, we need to find what is the probability they have one boy and one girl.
Probability for babies are boys = 51.3% = 0.513
Probability for babies are girls = 1 - 0.513 = 0.487
The probability they have one boy and one girl = 1 - probability that they have two boys - probability that they have two girls
The probability they have one boy and one girl = 1 - 0.513² - 0.487² = 0.499 = 0.50
The probability they have one boy and one girl = 0.50 = 50%
Answer:
10%
12.5%
13%
19%
Step-by-step explanation:
First write all of the amounts as a percent.
1/8 = 12.5%
13%
.10 = 10%
19%
Then you can order them from least to greatest.
10%, 12.5%, 13%, and then 19%
hope this helps
(2 × (6cm x 9cm)) + (2 × (6cm x 5.1cm)) + (2 × (9cm x 5.1cm)) = 261 square cm
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²