Triangle EFG has the following vertices E(1,2), F(4,2) and G(1,6). What are the new coordinates of triangle E’F’G’ after it is r
1 answer:
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9514 1404 393
Answer:
y = -2
Step-by-step explanation:
The given line is a vertical line, so a perpendicular line will be a horizontal line. It will have an equation of the form ...
y = constant
In order for the line to go through the given point, the constant in the equation must be the same as the y-coordinate of the point: -2.
Your perpendicular line is ...
y = -2
Solution: The given problem is a binomial distribution.
The probability that a team member receives a scholarship is
Therefore, the given problem follows binomial with n = 5 and p = 0.6667
Now the probability that 4 of 5 players selected are on scholarship is:
Therefore, the probability that 4 of 5 players selected are on scholarship is 0.329
Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the number of gallons of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.