Answer:
32 days
Step-by-step explanation:
Assume that the jar is full initially, containing 24 oz. After how many withdrawals of 3/4 oz will the jar be empty?
24 - (3/4)n = 0, or
24 = (3/4)n, or 96 = 3n. Dividing both sides by 3, we get n = 32.
The jar will be empty after 32 days.
Answer: three pieces.
The piece of wood is 6/8 inches long - this fraction can be simplified to 3/4 by dividing both the numerator and denominator by 2.
Thus, he cuts a piece of wood that is 3/4 inches long into 1/4 inch pieces.
1 goes into 3 three times, so the piece of wood can be cut into three 1/4-inch pieces.
Answer: y = 4 and x = 1
Step-by-step explanation:
when y is 2, x is 0.5
when y is 4, x is 1
.(+ 2) .(+ 0.5)
.(+ 2) .(+ 0.5)
.(+ 2) .(+ 0.5)
.(+ 2) .(+ 0.5)
the rule is that y is 4 times larger than x
Answer: y= (-1/5)x -4
First move the x over t the other side of the equation. Now we have 5y=-x-20. Next divide everything by 5 to get y= (-1/5)x -4
Answer:
Step-by-step explanation:
Expected value of the bet =
<h3>
P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) = </h3>
(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =
(64/132600) * 40 + (1 - 64/132600) *(-10) =
64/3315 + (132536/132600) * (-10) =
64/3315 - (132536/13260) =
64/3315 - 33134/3315 =
-33070/3315 =
-9.97586726998 =
-$9.98, rounded to the nearest cent
(i.e., the expected value of the bet is a loss of $9.98)
