The product of a number and 2 is 20 less than the product of the number and -3. What is the number?
1 answer:
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Replace 'y' with -3x+4
The variable 'x' cancels out, leaving the True statement 4/3 = 4/3
This means that the 2 equations are identical regardless of what x and y are.
Answer: System is consistent and dependent, there are an infinite number of solutions.
The variable 'x' cancels out, leaving the True statement 4/3 = 4/3
This means that the 2 equations are identical regardless of what x and y are.
Answer: System is consistent and dependent, there are an infinite number of solutions.
Answer:
a)
And we can find this probability using the complement rule:
b)
And we can find this probability uing the normal standard table:
c)
And we can find this probability with this 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".
Part a
Let X the random variable that represent the variable of interest 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 complement rule:
Part b
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 uing the normal standard table:
Part c
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.