Step-by-step:
Use slope formula to find the slope. (y - y)/(x - x)
Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So
8 - -4 goes on top, that's 12
0 - -1 goes under, thats 1
12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.
y - y = m(x - x)
y - 8 = 12(x - 0)
y - 8 = 12x
A positive 3430. because two negatives that are being multiplied by eachother are automatically positive.
1) both have positives signs OR
2) both have negatives signs
Answer:
a) 2.5 shots
b) 59.4 shots
c) 4.87 shots
Step-by-step explanation:
Probability of making the shot = 0.6
Probability of missing the shot = 0.4
a) The expected number of shots until the player misses is given by:
The expected number of shots until the first miss is 2.5
b) The expected number of shots made in 99 attempts is:
He is expected to make 59.4 shots
c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:
The standard deviation is 4.87 shots.
Answer: b) rolled three times, number of 2s rolled
d) rolled twice, number of odds rolled
<u>Step-by-step explanation:</u>
A binomial experiment must meet the following criteria:
- There must be a fixed number of trials (rolls)
- Each trial (roll) is independent of the others
- There are only two outcomes (success or fail)
- The probability of each outcome remains constant from trial to trial
a) rolled twice --> satisfies #1 & #2 (n = 2)
X is the sum --> fails #3 (more than two outcomes)
b) rolled three times --> satisfies #1 & #2 (n = 3)
X is the number of 2s rolled --> satisfies #3 & #4 (P success = 1/6)
c) rolled an unknown number of times - fails #1
d) rolled twice --> satisfies #1 & #2 (n = 2)
X is the number of odds rolled --> satisfies #3 & #4 (P success = 1/2)
