Answer: 42 students are in the musical
Answer:
x = 7
Step-by-step explanation:
The equation of a vertical line has equation of the form
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (7, - 3) with x- coordinate 7 , thus
x = 7 ← equation of vertical line
Given:
In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.
To find:
The value of x and y.
Solution:
In triangle ABC,
(Given)
So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.
In isosceles triangle ABC,



The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.


In triangle ABD,
[Angle sum property]
Therefore, the correct option is B.
Answer:
y₀.₉₅ = 3659
Step-by-step explanation:
P( no accident ) = 0.8
P( one accident ) = 0
deductible = 500
mean = 3000
<u>Determine the 95th percentile of the insurance company payout </u>
Assuming : y =company payout , x =amount of loss incurred due to accident
Then :
P( x < 500 ) = 0.2 ( 1 - e^-500/3000)
= 0.2 ( 1 - e^-1/6 )
95th percentile =
= P( y < y₀.₉₅ ) 0.95
P( y = 0 ) = 0.8 + 0.2 ( 1 - e^-1/6 ) = 0.8307
attached below is the remainder of the solution