Answer:
144
Step-by-step explanation:
We will use permutations to solve this problem
There are 4 pairs each having a male and a female.
The total number of sample points is 4! = 4*3*2*1= 24
He chooses the male first then the number of sample space he is left with are 3! = 3*2*1=6
The total number of ways he can select is 4! 3! = 24 * 6= 144
Another way of finding it out is
he has 4 pairs each having a male and a female so he chooses 1st male then he would choose from this
4 female choices*3 male choices * 3 female choices *2 male choices *2 female choices *1 male choices *1 female choices *= 4*3*3*2*2*1*1= 144
He changes are 3 times larger each time.
8 changed by 4 to get to 12.
12 changed by 12 to get to 24.
24 changed by 36 to get to 60.
60 changed by 108 to get to 168.
If you pay $400 down, plus $80 for the next 12 months, that means you're paying (80*12)+400 which is equal to $1360. You're saving $100 by paying the entire total up front.
The average rate of change of f(x) on the interval [5, 5 + h] is 1
<h3>How to find the
average rate of change of f(x) on the interval [5, 5 + h]?</h3>
The equation of the function is given as:
f(x) = x + 11
The interval is given as: [5, 5 + h]
So, we start by calculating f(5) and f(5 + h)
This gives
f(5) = 5 + 11 = 16
f(5 + h) = 5 + h + 11 = h + 16
The average rate of change of f(x) on the interval [5, 5 + h] is then calculated as:
Rate = [f(5 + h) - f(5)]/[5 + h - 5]
Substitute the known values in the above equation
Rate = (h + 16 - 16)/(5 + h - 5)
Evaluate the sum and the difference
Rate = h/h
This gives
Rate = 1
Hence, the average rate of change of f(x) on the interval [5, 5 + h] is 1
Read more about the average rate of change at
brainly.com/question/8728504
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Answer: Choice B) The probability of buying a taco OR a drink is 45%
The uppercase P means "probability". Using parenthesis with the P tells us "probability of whatever event happens"
P(A) means Probability of event A happening
P(B) means probability of event B happening
P(A or B) means Probability of event A or event B (or both) happening
You then replace A with "customer buys taco" and B with "customer buys drink" to get the answer mentioned above.
