14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two a
1 answer:
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Answer:
Step-by-step explanation:
The given differential equation is :
xy′−3y=6
We want to determine which of the following options is a solution to the differential equations.
The function that satisfies the differential equation is a solution.
We can verify that
satisfy this differential equation.
We differentiate to get:
We substitute the function and its derivative into the differential equation to get:
We expand and simplify on the left:
This simplifies to:
Verified.
We can show that all the other functions do not satisfy this differential equation
Answer:
a)
And then the probability that Fred will not score between 47 and 77 is
1-0.968 = 0.0321
b)
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".
Part a
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability on the probability that Fred will not score between 47 and 77. So we can begin finding 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 on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
And then the probability that Fred will not score between 47 and 77 is
1-0.968 = 0.0321
Part b
And we can find this probability on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.