Dianna and Becky were playing on the same soccer team and took turns being goalie. They stoped 9 out of 10 shots made against th
1 answer:
Answer:
27 balls
Step-by-step explanation:
If Dianna and Becky stopped 9 out of 10 shots made against them.
It means they allowed in 1 out of 10 shots made against them.
This is best solved using ratios
Proportion of Shots Stopped : Proportion of Shots allowed=9:1
If the other team scores 3 points, it means the number of shots allowed =3
Let x be the number of shots stopped
Number of Shots Stopped : Number of Shots allowed=x:3
Therefore:
9:1=x:3
Cross multiplying
x=9 X 3 =27
Dianna and Becky stopped 27 balls from going into the net,
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Answer:
a) 50% of packages in this class would weigh less than 11 lbs.
b) 25% would weigh more than 11.5 lbs.
c) The average weight for a package in this class is 11 lbs.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
For this problem, we have that:
a. Suppose one of the shipping classes is 10 to 12 lbs. What proportion of packages in this class would weigh less than 11 lbs?
Uniform distribution from 10 lbs to 12 lbs, this means that .
The answer is .
50% of packages in this class would weigh less than 11 lbs.
b. What proportion would weigh more than 11.5 lbs?
Either a package weighs 11.5 lbs or less, or it weighs more than 11.5 lbs. The sum of the probabilities of these events is decimal 1. So:
25% would weigh more than 11.5 lbs.
c. What would the average weight for a package in this class be?
The mean M of the uniform distribution is:
So
The average weight for a package in this class is 11 lbs.