Answer:
1.) 0.54 ; 0.46
2.) 0.50 ; 0.40 ; 0.05 ; 0.85 ; 0.15
Step-by-step explanation:
A = feel guilty about wasting food ; P(A) = 0.39
B = feel guilty leaving lights on ; P(B) = 0.27
Probability of feeling guilty for doing both = 0.12
P(AnB) = 0.12
1a.) What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
P(AuB) = P(A) + P(B) - P(AnB)
= 0.39 + 0.27 - 0.12
= 0.54
1b.) What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
P(AuB)' = 1 - P(AuB)
P(AuB)' = 1 - 0.54
P(AuB)' = 0.46
2.)
n(ACC) = 10
n(SEC) = 8
n(total) = 20
n(ACC n SEC) = 1
a. What is the probability the ACC will have a team in the championship game (to 2 decimals)?
n(ACC) / n(Total) = 10 /20 = 0.50
b. What is the probability the SEC will have a team in the championship game (to 2 decimals)?
n(SEC) / n(Total) = 8/20 = 0.40
c. What is the probability the ACC and SEC will both have teams in the championship game (to 2 decimals)?
1 /20 = 0.05
d.)
P(AuB) = P(A) + P(B) - P(AnB)
= 0.50 + 0.40 - 0.05
= 0.85
e.)
P(AuB)' = 1 - P(AuB)
P(AuB)' = 1 - 0.85
= 0.15
The perimeter of the equilateral triangle is 21/4 inches.
Given,
An equilateral triangle has three congruent sides that measure 1 and 3/4 inches on each side.
We need to find what is the perimeter of the triangle.
<h3 /><h3>What is an equilateral triangle?</h3>
An equilateral triangle is a triangle where all sides are equal.
Perimeter is given by :
= 3side
Find the sides of the equilateral triangle.
Side = 1 and 3/4 inches
= 7/4 inches
Find the perimeter of the equilateral triangle
Perimeter = 3 x side
= 3 x 7/4 inches
= 21/4 inches
Thus the perimeter of the equilateral triangle is 21/4 inches.
Learn more about the equilateral triangle here:
brainly.com/question/13606105
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Answer:
32 cm³
Step-by-step explanation:
Volume of a sphere is:
Volume of a cylinder is:
The volume of the cylinder is 48 cm³.
The cylinder has the same radius (r) and height (2r) as the sphere.
Therefore, the volume of the sphere is:
Hey there! I'm happy to help!
We see that it costs $3 for 6 cans of sodas. We want to find how much it costs for 1 can of soda. To do this, we simply divide by 6!
3/6=0.5
The unit price per can is $0.5 per can.
Have a wonderful day! :D
Answer:
130
Step-by-step explanation:
The two angles with measurements are vertical angles and vertical angles are equal
12x-2 = 10x+20
Subtract 10x from each side
12x-10x -2 =10x-10x+20
2x-2 = 20
Add 2 to each side
2x-2+2 =20+2
2x= 22
Divide each side by 2
2x/2 =22/2
x =11
We want to find 2x-2
12(11)-2
132-2
130
