10% of 65
Of means multiply
=0.1 x 65
=6.5
Or you can use another way which is (part/whole) *(percent/100)
Whole=65
Percent=10
And part(part of 65)=unknown
(X/65)* (10/100)
Cross multiply
x= 6.5
So 10% of 65 is 6.5
The square root of thirty lies between the numbers 5 and 6.
The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
For this problem, considering the cost of $0.5, the distribution is given as follows:
- P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.
- P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.
- P(X = -0.2) = 23/(12 + 15 + 23) = 23/50 = 0.46.
Hence the expected value is given by:
E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.
More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984
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The speed is the distance covered by an object at a particular time. It will take Max 10.6 hours to catch up with Rachel.
<h3>What is speed?</h3>
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that Max leaves Las Vegas one hour after Rachel leaves. Also, the speed at which Rachel is travelling is 53 miles per hour. Therefore, the distance covered by Rachel in one hour is,
Distance covered by Rachel = 1 hour × 53 miles per hour = 53 miles
Now, the distance between Max and Rachel is 53 miles. Therefore, the time it will take Max to reach Rachel can be found as,
Time needed to catch up with Rachel = Distance / relative speed
Time = 53 miles / (58 mph - 53 mph)
= 53 miles / 5 mph
= 10.6 hours
Hence, it will take Max 10.6 hours to catch up with Rachel.
Learn more about Speed here:
brainly.com/question/15100898
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