Answer: 2.28 %
Step-by-step explanation:
Given : Mean : 
Standard deviation :
The formula to calculate the z-score :-
For x = 72
The p-value = 
In percent, 
Hence, the percentage of pediatricians work more than 72 h per week = 2.28 %
Answer:
the answer is B.
Step-by-step explanation:
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The list price was $465 (465=387.5 / (5/6))according to the information on the question above. This problem can be solved using the percentage and fraction principle of the mathematics. In this problem, 16 and two-thirds % is equal to the one-sixth fraction, therefore, the current price is the 5/6 portion of the list price.
Answer:
(an -a1)/d +1 = n
Step-by-step explanation:
Undo what is done to n, in reverse order. When evaluating this expression, you ...
- subtract 1 from n
- multiply the difference by d
- add a1
When you undo these, you get ...
... an -a1 = d(n-1) . . . . . . subtract a1
... (an -a1)/d = n - 1 . . . . divide by d
... (an -a1)/d +1 = n . . . . add 1
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<em>Comment on answer list</em>
Please note the use of parentheses in the answer here. These identify that the difference (an -a1) is what is divided by d. None of the offered answers has these parentheses, nor are they typeset in a way that would indicate the intent to divide (an -a1) by d. As given, none of the offered answers is correct.
Answer:
115.47 feet
Step-by-step explanation:
You know the relation between opposite and adjacent sides of an angle in a right triangle is ...
Tan = Opposite/Adjacent
If the "adjacent" side of the angle of elevation is the distance of the man from the building, we have ...
tan(30°) = (100 ft)/d1
and
tan(60°) = (100 ft)/d2
Solving these equations for d1 and d2 gives ...
d1 = (100 ft)/tan(30°)
d2 = (100 ft)/tan(60°)
Then the distance between the two men is ...
d = d1 -d2 = (100 ft)(1/tan(30°) -1/tan(60°)) ≈ 115.47 ft
The distance between the two men is about 115 feet.
