Answer:
a) P(X=41)= 0.0086 = 0.86%
b) P(36≤X≤38)== 0.1215 = 12.15%
c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%
Step-by-step explanation:
if the random variable X= number of cleared murders , then X follows a binomial distribution:
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)
where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)
therefore
a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086
b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215
c) P(X≤20) = 0.000081
therefore would be unusual that fewer that 20 murders were cleared
Answer:
The "zeros" of the quadratic equation occur when f(x) (or "y") equals zero. The place on the graph where y = 0 is the x-axis. So the zeros are the same as the x-intercepts. we can see that we are multiplying two linear factors together and the result is zero.
Step-by-step explanation:hope this helps
Answer:
Step-by-step explanation:
As we can see in the figure that
The R, S, T ,and Q are the points on the circle O.
Also
The measurement of the circular arc is equivalent to the measurement of the angle at the center of the arc
So by this
m(major arc RQ) = m(∠QOR)
So,
And as we know that
All angles sum = 360°
Therefore
Answer:
6 pounds
Step-by-step explanation:
every 16 ounces =1 pound
so 96/16 = 6
6 *1 = 6
therefour 6 pounds
Answer:
options 1,3,4 are functions.
Step-by-step explanation:
RULE: a relation is said to be a function if every element in the domain ( the numbers in the left side in the below sets) is related to only one number ( number on the right side in the below sets).
Let us check each option one by one:
1. 3 2
9 1
-4 7
0 -2
here each number on the left side is mapped to or is related to one number only.
so this relation is a function
2. 7 1
-5 2,3
1 0
here, "-5" is mapped to two different numbers. so this relation is not a function.
3. -2 -4
2 4
6 8
-6 -8
here each number on the left side is mapped to or is related to one number only.
so this relation is a function
4. 1 3
-1 3
2 3
-2 3
here each number on the left side is mapped to or is related to one number only.
so this relation is a function.
even if it is related to the same number, it doesn't matter.
it should follow the above given rule that's it.
