Answer:
a) 33.33%)
b) 135 minutes
c) 8.66 min
d) 50%
Step-by-step explanation:
a) the probability for a uniform distribution is
P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values
therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)
P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)
b) the mean (expected value) for a uniform probability distribution is
E(X) = (c+d)/2 = (120+150)/2 = 135 minutes
c) the standard deviation for a uniform probability distribution is
σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²
σ = √75 min² = 8.66 min
b) following the same procedure as in a)
P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)
Answer:
n>9
Step-by-step explanation:
4(n-3)- 6 > 18
To solve this inequality we need to remove the parenthesis
distribute 4 inside the parenthesis
4n -12 - 6 > 18
Now combine like terms
4n - 18 > 18
We need to isolate 'n', so we add 18 on both sides
4n > 36
Now divide both sides by 4
n > 9
So the value of n is greater than 9
Take 7.5 and divide by 15.
7.5/15=.5
each guest will get .50 pound of meat.
Answer: With $17.50 you can buy 7 packs of grape tomatoes.
Step-by-step explanation: For this question you can find the answer by taking 52.50 ÷ 21 which is 2.5 so that packs are $2.50 a pack and then you can either plug in numbers or take 17.50 ÷ 2.5.
Hope this helps.
