Answer:
X = 0 4 8 12
Y = 10 7 4 1
Step-by-step explanation:
Given:
Cost of one T shirt = $15
Cost of one sweater = $ 20
To find :
The graph that will represent both number of T-shirts and sweatshirts = ?
Solution:
Let the number of t-shirts be x
The number of sweaters be y
They want to rise a found of $200
Then the equation to represent this situation is
15x + 20y = 200
By trial and error method
15(12) + 20(1) = 200
15(8) + 20(4) = 200
15(0) + 20(10) = 200
15(4) + 20(7) = 200
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.
