Answer:
a) P = 0.039
b) The expected number of days is 10 days.
Step-by-step explanation:
The most appropiate distribution to use in this case is the geometric distribution, in order to calculate the probability of a success after k failure trials.
The probability of success, as each of the 10 products are assumed to have fair probabilities, is:
Then, the probability that our product is not selected any given day is:
a) The probability that exactly this product is selected exactly 10 days from now is the probability that is not selected (probbility q) for the next 9 days and selected (probability p) at the 10th day:
b) The expected number of days is calculated as:
For this case, the first thing we must do is define variables.
We have then:
t: number of hours
F (t): total charge
We write the function that models the problem:
Where,
b: represents an initial fee.
We must find the value of b.
For this, we use the following data:
Her total fee for a 4-hour job, for instance, is $ 32.
We have then:
From here, we clear the value of b:
Then, the function that models the problem is:
Answer:
the function's formula is:
Revenue > Cost
R(x) > C(x)
0.50x > 10+0.20x
0.50x-0.20x > 10
0.30x > 10
x > 10/0.30
x > 33.333 which is approximate
Round up to the nearest whole number to get x = 34. You need to sell at least 34 cups of lemonade to have the revenue R(x) be larger than the cost C(x)
Answer: 34
<span>My answer was D. 13.9 yd.
It depends on which leg is 12 yds
If it's the short one, hyp = 24
If the other one, hyp = 13.9
hope this works
</span>
A^2 + 5^2 = 10^2
a^2 + 25 = 100
a^2 = 100-25
a^2 = 75
a = sqrt(75) = 5sqrt(3)
answer is A
