Answer:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
10 engineers selected from a set of 20.
5 best, from a set of 5.
Other 5, from a set of 20-5 = 15.
Totao outcomes:
10 engineers selected from a set of 20.
Probability:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
The area of the square is calculated through the equation,
Area = e²
where e is the measure of sides.
From the given,
64 = e²
e = sqrt 64 = 8 inches
The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.
radius = 8 inches / 2 = 4 inches
Thus, the radius of the cylinder is equal to <em>4 inches</em>.
Answer:
Step-by-step explanation:
a) One can get maximum score when all the 20 questions answered are correct.
Maximum score = 20*3 = 60 points
b) Minimum score = 20 * (-2) = -40 points
c) Points for correctly answered questions = 10*3 = 30
Incorrectly answered questions = 14 - 10 = 4
Points for incorrectly answered questions = 4 * (-2) = -8
Total score = 30 + (-8) = 22
d) Points for correctly answered questions =5*3 = 15
Points for incorrectly answered questions = 13 * (-2) = -26
Total score = 15 + (-26) = -11
