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
Answer:
<h2>x = 10.3</h2>
Step-by-step explanation:
Use sine.
We have:
<em>look at the table in the picture</em>
Substitute:
<em>multiply both sides by 16</em>
Answer:
-2
Step-by-step explanation:
Start with the vertex form of the equation of a parabola: y - k = a(x - h)^2
Here h = -2, k = -3, x = -1, y = -5. Find a:
-5 - [-3] = a(-1 - [-2])^2, or
-5 + 3 = a(1)^2, or
-2 = a
The unknown coefficient is -2.
First convert the 2 1/2 into eighths to be able to subtract the numbers. That becomes 2 4/8. Next set up the subtraction. 11 1/8 - 2 4/8. Note that 4/8 is bigger than 1/8, meaning we have to borrow 8/8 from 11 making our problem 10 9/8 - 2 4/8. Now we subtract as normal: 10 - 2 = 8; 9/8 - 4/8 = 5/8.
Final answer: 8 5/8 inches
