The answer is the second option, or Ray BE is a bisector of angle ABE.
Answer:
(-3,2) is the solution to the system of equation
Step-by-step explanation:
Here, we want to know the point that serves as a solution to the system of equation
We equate the y
-2x + 4 = -1/3x-1
Multiply through by 3
-6x + 12 = -x-3
-6x + x = -3-12
5x = 15
x = 15/5
x = 3
Substitute x into one of the y
y = -2(3) + 4
y = -6 + 4 = -2
So the solution is;
(3,-2)
Answer: -20
Step-by-step explanation:
We can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=x
Answer: The probability that the height of a randomly selected female college basketball player is between 69 and 71 inches is 0.24
Step-by-step explanation:
Since the heights of all female college basketball players produce a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of all female college basketball players.
µ = mean height
σ = standard deviation
From the information given,
µ = 68 inches
σ = 2 inches
We want to find the probability that the height of a randomly selected female college basketball player is between 69 and 71 inches is expressed as
P(69 ≤ x ≤ 75)
For x = 69,
z = (69 - 68)/2 = 0.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.6915
For x = 71,
z = (71 - 68)/2 = 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.9332
Therefore,
P(69 ≤ x ≤ 75) = 0.9332 - 0.6915 = 0.24
