Answer:
-78.12
Step-by-step explanation:
Answer:
The correct option is (c).
Step-by-step explanation:
The complete question is:
The data for the student enrollment at a college in Southern California is:
Traditional Accelerated Total
Math-pathway Math-pathway
Female 1244 116 1360
Male 1054 54 1108
Total 2298 170 2468
We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the student is female. Which of the following pairs of probabilities is not a useful comparison?
a. 1360/2468 and 116/170
b. 170/2468 and 116/1360
c. 1360/2468 and 170/2468
Solution:
If two events <em>A</em> and <em>B</em> are independent then:

In this case we need to determine whether a student enrolled in an accelerated math pathway is independent of the student being a female.
Consider the following probabilities:

If the two events are independent then:
P (F|A) = P(F)
&
P (A|F) = P (A)
But what would not be a valid comparison is:
P (A) = P(F)
Thus, the correct option is (c).
Answer:
first one is SAS
Step-by-step explanation:
Answer:
The required expression is
.
The value of the expression when y=20 is 2.
Step-by-step explanation:
Consider the provided phase.
3 less than the quotient of a number y and 4
The quotient of a number y and 4 can be written as: 
Now 3 less than the quotient of a number y and 4 can be written as:

Hence, the required expression is
.
Now evaluate when y=20.
Substitute y=20 in above expression.



Hence, the value of the expression when y=20 is 2.
Answer:
d ≈ 1732 ft
Step-by-step explanation:
Angle of elevation = Angle of depression
Following this truth,
m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°
By applying tangent rule in the given triangle ABP,
tan(30°) = 

d = 1000√3
d = 1732.05
d ≈ 1732 ft