Write an inequality for the following. Jackie spent no more than $40 on a video
1 answer:
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Answer:
The value of E(X) is 1.56
Step-by-step explanation:
Number of Boxes=4
Number of Balls =3
If X is the number of box in which the balls are than the number of balls in the box are given as ((4-X)+1)^3
Number of ways such that all the balls are in the box number 4, no balls in the first three boxes is given as n(x=4)=1^3=1
Number of ways such that all the balls are in the box number 3, is given as n(x=3)=n(x=2)-n(x=4)=2^3-1^3=7
Number of ways such that all the balls are in the box number 2, is given as n(x=2)=n(x=1)-n(x=3)=3^3-2^3=19
Number of ways such that all the balls are in the box number 1, is given as n(x=1)=n(x=4)-n(x=3)=4^3-3^3=37
So the total number of ways are
n(total)=n(x=4)+n(x=3)+n(x=2)+n(x=1)
n(total)=1+7+19+37=64
So Probabilities are given as
p(x=1)=n(x=1)/n(total)=37/64
p(x=2)=n(x=2)/n(total)=19/64
p(x=3)=n(x=3)/n(total)=7/64
p(x=4)=n(x=4)/n(total)=1/64
So the E(x) is given as
So the value of E(X) is 1.56
Answer:
64 square units
Step-by-step explanation:
Split the figure into 2 rectangles of dimensions:
4 × 10
8 × 3
And solve.
(4 × 10) + (8 × 3) = 40 + 24 = 64 square units
See the attached image for a model.
Answer:
They can paint 18. 66 sq ft with 3 gallons of paint.
Step-by-step explanation:
Total area painted = 280 sq ft
Total gallons of paint used = 45
So, 45 gallons of paint painted 280 sq ft.
⇒ By UNITARY METHOD,
1 gallon of paint paints sq ft
So, area painted by 1 gallon = 6.22 sq ft
⇒ area painted by 3 gallon = 6.22 sq ft x 3 = 18. 66 sq ft
So, they can paint 18. 66 sq ft with 3 gallons of paint.