Answer:
x = 9
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is
Parallel to the third side
then the 2 angles are same- side interior angles and sum to 180° , that is
16x - 33 + 8x - 3 = 180
24x - 36 = 180 ( add 36 to both sides )
24x = 216 ( divide both sides by 24 )
x = 9
The number would have to be <u>16</u>. 64 does not divide by 24, 28, or 36 to equal any whole number
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:
They need to make at least 12 batches.
Step-by-step explanation:
First, we need to find how many cookies in total, so we multiply 70 by 4.
70*4 = 280.
Secondly, 1 batch makes 2 dozen cookies, or technically 24 cookies. So we need to find how many batched with 280 divided by 24. This results in 11.6 repeating. But if you round it up, you get 12.
Time to check:
12 * 24 = 288. So it's the amount of cookies needed with 8 remaining.
Hope this helps.
