Answer:
Step-by-step explanation:
Sweet. Get to answer finally. I was the guy commenting on your other post.
1. 72
2. 46
3. 99
4. Same side interior angles are supplementary
5. alternate interior angles are equal to each other so set up the x expressions equal to each other. 5x-7=3x+17. Solve for x
5x-7=3x+17
2x=24
x=12
plug it in for the 5x-7 and get an angle.. 5(12)-7
60-7
53.
The 5x-7 and the 4y+3 is supplementary.
so 53+3+4y=180. combine the 2 and set them equal to 180 to find y
56+4y=180
124=4y
y=31
And now we find the angle of 6. We know that corresponding angles are equal and the y expression and angle 6 are corresponding angles
so plug in your answer for y in the expression..
4(31)+3 = 127.
so angle 6 is 127
The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
The probability of picking a blue jelly bean is 10/12=0.833, since there are 10 blue and 12 jelly beans in total.
Each time the probability of picking blue is the same, since put back in the box whatever jelly bean we pick
P(blue, blue, blue) = P(blue) × P(blue) × P(blue) = 0.833×0.833×0.833=0.579
Answer: 0.579