Sample space = {s1, s2, s3, s4, m1, m2, m3, m4, l1, l2, l3, l4, s1234, s123, s124, s12, s13, s14, s23, s24, s34, m1234, m123, m12, m13, m14, m23, m24, m34, l1234, l123, l12, l13, l14, l23, l24, l34}
total with one topping = 12
s - small
m - medium
l - large
1 - pepperoni
2 - sausage
3 - green pepper
4 - mushroom
Answer:
x=8
RPS = 36
Step-by-step explanation:
QPS = 180
The two angles that form QPS
QPR + RPS = 180
7x+88 + 3x+12 = 180
Combine like terms
10x+100 =180
Subtract 100 from each side
10x = 180-100
10x = 80
Divide by 10
x =80/10
x = 8
RPS = 3x+12
= 3(8)+12
24+12
36
Answer:
A
B
C
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
We can simply use a graphing calculator to graph the function

See in the attached file!
Answer:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find 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".
Solution to the problem
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
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:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.