DRAG & DROP THE ANSWER
1 answer:
Answer:
62° for box above
118° for second box
Step-by-step explanation:
Since both lines are given parallel, we can apply theorems here.
For the first box above is 62°. This is alternate interior theorem where if both lines are parallel, both angles have same measure or are congruent.
For the second box, since we don't know what the second box's value is, we will leave it as x.
Therefore:-
62+x
Since 62+x forms a line; a line's measure is 180°.
Thus:-
62+x=180
x = 180-62
x = 118°
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Answer: 0.3974
Step-by-step explanation:
Given : The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal.
Real annual returns on U.S. common stocks had mean :
Standard deviation :
We assume that the past pattern of variation continues.
Let x be the random variable that represents the annual returns on common stocks over the next 32 years .
The formula for z-score :
For x= 0.14,
By using the standard normal distribution table , we have
The probability that the mean annual return on common stocks over the next 32 years will exceed 14% :-