Answer:
the probability that all tomatoes are sold is 0.919 (91.9%)
Step-by-step explanation:
since the random variable X= number of tomatoes that are demanded, is normally distributed we can make the standard random variable Z such that:
Z=(X-μ)/σ = (83 - 125)/30 = -1.4
where μ= expected value of X= mean of X (since X is normally distributed) , σ=standard deviation of X
then all tomatoes are sold if the demand surpasses 83 tomatos , therefore
P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)
from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore
P(X>83) = 1- P(Z≤-1.4) = 1 - 0.081 = 0.919 (91.9%)
thus the probability that all tomatoes are sold is 0.919 (91.9%)
Answer:
x = 3
Step-by-step explanation:
7x - 9 + 3x = 2x + 18 - x
10x - 9 = x + 18
10x - x = 18 + 9
9x = 27
x = 3
The probabilities are:
- P(red) = 5/24
- P(orange) = 0
- P(blue) = 1/3
- P(not green)= 17/24
- P(green or black) = 11/24
- P(not yellow) = 1.
<h3>
How to find the probabilities?</h3>
The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.
Here we have:
- 5 red marbles.
- 7 green marbles.
- 4 black marbles.
- 8 blue marbles.
So the total number is 5 + 7 + 4 + 8 = 24.
Then:
- P(red) = 5/24
- P(orange) = 0/24 = 0 (because there are 0 orange marbles).
- P(blue) = 8/24 = 1/3
- P(not green) = (24 - 7)/24 = 17/24
- P(green or black) = (4 + 7)/24 = 11/24
- P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).
If you want to learn more about probability, you can read:
brainly.com/question/251701
#SPJ1
Answer:
The answer is 50%.
Step-by-step explanation:
I did the question on IXL, and got it right.
This is 1/2 to 1/10
multiply each fraction by 10:-
= 5 : 1
The answer is 5 Choice D
