Mean (μ) = 11.5 feet
Standard deviation (σ) = 1.7 feet
First we need to find the z-score for less than 13.5 feet.
The formula of z-score is : z = (X - μ)/σ
Here X= 13.5, so z = 
z = 
= 1.18
P(X < 13.5) = P(z< 1.18) =P(z< (1.1 + .08)) = 0.8810 (from z-score table)
P(X< 13.5) = 88.1% (for making percentage from decimal, we need to multiply by 100)
So, the probability that a randomly selected tree is less than 13.5 feet tall = 88.1%
Answer:
Step-by-step explanation:
The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.
find the value of x
x + 2x + x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 : 4
x = 43
find angles
2x = 43 * 2
2x = 86°
-------
x = 43°
--------
x + 8 = 43 + 8
x = 51°
-----------------------
check
86 + 43 + 51 = 180°
the answer is good
Answer: B
Step-by-step explanation:
It cant be A or C since the intersection does not touch the y axis and it isn't D since it is closer to -4 than -4 1/2
Answer: i believe it is D
Step-by-step explanation:
:)
