The temperature dropped 5.8 degrees an hour.
Answer:
D - (D/5)
Step-by-step explanation:
Let's imagine that D equals 100 dollars -
Well, we know that to get 20% of an amount, we need to divide the amount by five. So let's do that -
100 / 5 = 20
We now know that 20% of 100 dollars is equal to 20 dollars. We have now finished the first part. On to the second part.
We now need to take away 20% of 100 dollars off of 100 dollars - this is the price of the item after the discount.
100 - 20 = 80 dollars.
We now fit in D instead of 100 dollars -
D - (D/5)
Answer:
Step-by-step explanation:
20/12 = 1 2/3
30 ÷ 1 2/3
= $18
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:
Derivative: P’(x) = 200 - 2x
If P’(x) = 0 , x = 100
Therefore P’ is positive and P increases until x = 100
So the maximum units to maximize profits is 100 units
And for 100 units the profit in dollar is:
20000 - 10000 = 10000
10000 dollars
