y = her salary,
m = rate of commission,
x = amount of merchandise sold
b = monthly base pay
sets of data to calculate the formula
(500, 405) and (900, 489)
use the slope formula to find m:
(489 - 405) / (900 - 500)
m= 84 / 400 = 0.21 (21% commission)
find the base pay by substituting known values for x,y, and m, then solve for b:
405 = (0.21)(500) + b
405 = 105 + b
b = 300
now we know the equation for her salary is:
y = 0.21x + 300
To find the salary when she sells $1,700 worth of merchandise, put 1700 for x and solve for y:
y = 0.21(1700) + 300 = 657
2 of them is blue because since there is 16 marbles you multiply 1/8 by 2 and 2/16 so 2 marbles are blue
Answer: The required expected value is $3.46.
Step-by-step explanation:
Since we have given that
Number of value of 4 or less are
2,3,4
So, there are 12 in numbers.
So, probability would be

Since Aces are considered as the highest card in the deck.
So, remaining probability would be

Amount paid or value of 4 or less = $165
Amount not paid for other case = $45
So, the expected value would be

Hence, the required expected value is $3.46.
Virgil has 1/6 of the original cake, which he wants to divide into 4 parts. Thus:
1/6 / 4
= 1/6 x 1/4
= 1/24
Each person will receive 1/24 of the original cake.