Answer:
zero goats and 120 Ilamas to get profit of $15,120
Step-by-step explanation:
Goats: G
Ilamas: l
Explicit constraints:
2G + 5l ≤ 400
100G+ 80l≤ 13,200
Implicit constraints
G≥0
I≥0
P= 84G+ 126l
See attachment for optimal area
substituting coordinats of optimal region in profit equation to get profit
When G= 132, l=0
P=84(132) + 126(0)
P=11,088
When G=0, l=120
P=84(0)+ 126(120)
P = 15120
When G= 100, l=40
P=84(100)+126(40)
P=13440
They won 14 games. If you subtract 2 ( the ties ) you are left with 22. Subtract 6 ( games more won than loss) you get 16. Then divide by two and get 8. 8 + 6 = 14.
Answer:
x=6 is not a solution
Step-by-step explanation:
We can substitute 6 as x to find out:
5(6-3)=6+13
first, because of PEMDAS we'll do 6-3
5(3)=6+13
multiply 5 by 3 and add 6 and 13
15=19
Since the statement is not true, that means that x=6 is not a solution
Hope this helps!
9514 1404 393
Answer:
$86
Step-by-step explanation:
Since the interest varies directly, doubling the rate will double the interest.
The interest is $86 when the rate is 8%.
Answer:
0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they choose the leading brand, or they do not. The probability of a customer choosing the leading brand is independent of any other customer, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
The leading brand of dishwasher detergent has a 30% market share.
This means that 
A sample of 25 dishwasher detergent customers was taken.
This means that 
a. What is the probability that 10 or fewer customers choose the leading brand?
This is:

In which












Then

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand