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
Answer:
7/24
Step-by-step explanation:
3/8 is changed to 9/24 people lifting weights
1/3 is changed to 8/24 people cross training
17/24 people are not running
7/24 people are running
7/24 cannot be reduced
Answer:
The spinner travelled 94.2 inches.
Step-by-step explanation:
In order to solve this question we first need to calculate the length of the circle, that is given by the following formula:
length = 2*pi*r
length = 2*3.14*3 = 18.84 inches
Since the spinner revolved around the circle 5 times, the distance travelled by the tip is the length of the circle multiplied by 5, as shown below:
distance = length*5
distance = 18.84*5 = 94.2 inches
The spinner travelled 94.2 inches.
Step-by-step explanation:
5/8=20/p
p=32
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