Subtract 8p + 9q -5rs from – 4p - 4 q +15 sr
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Answer: The answer is 84 inches.
Step-by-step explanation: It is given that twelve round gold medals fit inside a box where 4 medals are placed in one ray. So, the number of rows in the box is 3.
The radius of each gold medal = 3 inches.
Therefore, diameter of each gold medal = 2 × 3 = 6 inches.
The box is obviously in the rectangular form where
The red tape fits snugly around the sides of the box, so it will cover whole of the box.
Therefore, the length of the tape = 24+18+24+18 = 84 inches.
It is given that number of accidents on a particular highway is average 4.4 per year.
a. Let X be the number of accidents on a particular highway.
X follows Poisson distribution with mean μ =4.4
The probability function of X , Poisson distribution is given by;
P(X=k) =
b. Probability that there are exactly four accidents next year, X=4
P(X=4) =
P(X=4) = 0.1917
Probability that there are exactly four accidents next year is 0.1917
c. Probability that there are more that three accidents next year is
P(X > 3) = 1 - P(X ≤ 3)
= 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]
P(X=3) =
P(X=3) = 0.1743
P(X=2) =
P(X=2) = 0.1188
P(X=1) =
P(X=1) = 0.054
P(X=0) =
= 0.0122
Using these probabilities into above equation
P(X > 3) = 1 - P(X ≤ 3) = 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]
= 1 - (0.1743 + 0.1188 + 0.054 + 0.0122)
P(X > 3) = 1 - 0.3593
P(X > 3) = 0.6407
Probability that there are more than three accidents next year is 0.6407