Here it goes:
a. Because you have four blue marbles out of the 12 total marbles, the probability is 4/12. YOU MUST SIMPLIFY down to 1/3.
b. There are 12 marbles in the bag right now, and the probability is 4/12, you must add some marbles. 1/10 multiplied by 4 is 4/40. There are 4 blue marbles right now, and 40 minus the 12 there are right now is 38, so you would need to add 38 non-blue marbles.
The salary plus commission employee earned $3,500 in January. Let his amount of sales for the month of January be x, then $2,000 + 3% of x = $3,500.
0.03x = $3,500 - $2,000 = $1,500
x = $1,500 / 0.03 = $50,000
The straight commission employee earned $3,850 in January. Let his amount of sales for the month of January be y, then 7% of y = $3,850.
0.07y = $3,850
y = $3,850 / 0.07 = $55,000
The graduated commission employee earned $3,600 in January. Let his amount of sales for the month of January be z, then 5% of $40,000 + 8% of z = $3,600.
0.05 x 40,000 + 0.08z = $3,600
$2,000 + 0.08z = $3,600
0.08z = $3,600 - $2,000 = $1,600
z = $1,600 / 0.08 = $20,000
Total sales for the graduated commission employee<span> = $40,000 + $20,000 = $60,000
Therefore, the graduated commission employee had the largest dollar amount in sales of $60,000 for the month of January</span>
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Answer:
(4, -10), (4, 6)
Step-by-step explanation:
The vertical diameter is on the vertical line through the center of the circle. That line is x=4.
The square of the radius is 64, so the radius is √64 = 8. The y-coordinate of the diameter end points will be the y-coordinate of the center ±8.
So, the points of interest are ...
(4, -2±8) = (4, -10) and (4, 6) . . . . end points of the vertical diameter