I don't know how to do combing like terms someone help me!!!!
1 answer:
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ANSWER
(-1,2)
EXPLANATION
The given quadratic expression is:
The coefficient of the quadratic term is already 1.
So we add and subtract the square of half the coefficient of x.
We factor the first three terms to obtain
This is now in the form:
where (h,k) which is equal to (-1,2) is the vertex.
Answer:
a)
And we can find this probability using the normal standard table:
b)
And we can find this probability using the normal standard table and the complement ruel:
c)
And we can find this probability with this difference:
And in order to find these probabilities we can use the 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".
Assuming the following questions:
Part a: What is the probability that the maximum speed is at most 50 km/h?
Let X the random variable that represent the heights 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 using the normal standard table:
Part b: What is the probability that maximum speed is at least 48 km/h?
And we can find this probability using the normal standard table and the complement ruel:
Part c:What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?
And we can find this probability with this difference:
And in order to find these probabilities we can use the tables for the normal standard distribution, excel or a calculator.