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2 answers:
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What are all the solutions to the following
equation?
|10x + 2| =48
Combine like terms and use the properties of equality to get the variable on one side of the equals sign and the numbers on the other side. Remember to follow the order of operations.
Use the definition of absolute value.
Subtract 2 from both sides of the equation.
Divide both sides by 10.
Answer:
a)
And we can use the following excel code to find the probability:
"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"
b)
And we can use the following code and we got:
"=1-NORM.DIST(1.5,0,1,TRUE)"
c)
And we can use the following code and we got:
"=NORM.DIST(-1.75,0,1,TRUE)"
d)
And we can use the following excel code to find the probability:
"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"
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
Part a
We want this probability:
And we can use the following excel code to find the probability:
"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"
Part b
For this case we want this probability:
And we can use the complement rule and we have:
And we can use the following code and we got:
"=1-NORM.DIST(1.5,0,1,TRUE)"
Part c
We want this probability:
And we can use the following code and we got:
"=NORM.DIST(-1.75,0,1,TRUE)"
Part d
We want this probability:
And we can use the following excel code to find the probability:
"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"