I hope this helps you
x= -2
f (-2)= -2-7
f (-2)= -9
You must distribute first.
8 times (3x-2)= 24x-16
2 times (12x-5.5)= 24x-11
What you have left is
(24x-16)-(24x-11)
24x-24x=0
-16- -11=-5
The answer is -5
Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,
P(72 ≤ x ≤ 86) ≈ 0.65
Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.
P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)
but since the sum of these make up P(72 ≤ x ≤ 86), we find
P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325
Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,
P(x ≥ 79) = 0.5
It follows that
P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)
P(x ≥ 72) = 0.325 + 0.5
P(x ≥ 72) = 0.825 ≈ 0.84
Answer:
Option C
Step-by-step explanation:
A and B are said to be independent of
P(A intersection B) = P(A)*P(B).
Or if drawing is done with replacement, etc.
A) P(drawing a king) = 4/52 = 1/13
IF we replace again drawing a kind is the same 1/13
Hence independent
B) Coin flipping each toss is obviously independent of the other as prob of getting tail in a fair coin is 1/2 irrespective of the previous outcomes
C) Without replacement is not independent
Since first prob = 4/52 and second would be 3/51 not the same as before
D) Rolling a die is independent as getting a 2 in any throw is always the same.
C is answer
Answer:
(-3, 16)
Step-by-step explanation:
If it is reflected off the y - axis, the x coordinates change.
It becomes (-3, 16)
