Answer:
$58.84375, rounded ≈ $58.84
Step-by-step explanation:
You can do 67.25 x 7/8 (use a calc if you are lazy) = 58.84375
I'm guessing you don't need to round so I'm going to add both real and rounded answers
Answer: 97.72%
Step-by-step explanation:
Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.
Let x be the random variable that represents the shoe sizees.
Also, The population mean =
; Standard deviation: 
Formula for z:-

Put x= 8, we get

Now, the probability that the male shoe sizes are greater than 8 :-

Hence, the percent of male shoe sizes are greater than 8 is 97.72%.
Answer/Step-by-step explanation:
Question 1:
Interior angles of quadrilateral ABCD are given as: m<ABC = 4x, m<BCD = 3x, m<CDA = 2x, m<DAB = 3x.
Since sum of the interior angles = (n - 2)180, therefore:

n = 4, i.e. number of sides/interior angles.
Equation for finding x would be:



(dividing each side by 12)

Find the measures of the 4 interior angles by substituting the value of x = 30:
m<ABC = 4x
m<ABC = 4*30 = 120°
m<BCD = 3x
m<BCD = 3*30 = 90°
m<CDA = 2x
m<CDA = 2*30 = 60°
m<DAB = 3x
m<DAB = 3*30 = 90°
Question 2:
<CDA and <ADE are supplementary (angles on a straight line).
The sum of m<CDA and m<ADE equal 180°. To find m<ADE, subtract m<CDA from 180°.
m<ADE = 180° - m<CDA
m<ADE = 180° - 60° = 120°