Althea needs 106 ounces of coldcuts for a party. How many pounds and ounces does she need?
1 answer:
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The car moved 175.84 cm in one revolution
The car has moved 17584 cm in 100 revolutions
<em><u>Solution:</u></em>
Given that car wheel is 56 cm in diameter
diameter = 56 cm
To find: distance traveled in one revolution of wheel
Usually wheel is of circular shape
one revolution of wheel = circumference of circle
<em><u>The circumference of circle is given as:</u></em>
We know that,
diameter = 2(radius)
<em><u>So the circumference becomes:</u></em>
substitute = 3.14 and d = 56 cm
Thus the car moved 175.84 cm in one revolution
<em><u>B. How far does it go in 100 revolutions</u></em>
Distance covered in 100 revolutions = 100 x Distance covered in 1 revolution
Thus the car has moved 17584 cm in 100 revolutions
We find the probability of intersection using the inclusion/exclusion principle:
By definition of conditional probability,
For
in which case we have
Or, to establish independence another way, in terms of conditional probability, we must have
which is also true.