Answer:
approximately 4.978%
Step-by-step explanation:
The probability of both happening is 3/13*11/51, or 33/663, or 11/221 (approximately 4.978%). Two cards are drawn one after the other with replacement from a pack of 52 cards.
Answer:
D) 65
Step-by-step explanation:
The formula for direct variation is
y = kx
where k is the constant of variation.
If we know y=32.5 and x=5, we can substitute in to calculate k
32.5 = k * 5
Divide each side by 5
32.5/5 = k
6.5 = k
So the equation is
y = 6.5k
Given x =10
y = 6.5*10
y = 65
A graphing calculator shows the relative extremes to be
.. (2.606, 10.837) . . . relative maximum
.. (8.564, 8.033) . . . . relative minimum
Volume of cone: pi * r^2 * h/3
Given volume, height
942in^3 = 3.14 * r^2 * 9/3
942in^2 = r^2 * 9.42
Divide by 9.42
r^2 = 100, r = -10, 10
Cannot be negative so...
Solution: radius is 10 in.
Answer:
x=2
Step-by-step explanation:
We know AC = BC since this is an isosceles triangle
6 = 2x+2
Subtract 2 from each side
6-2 =2x+2-2
4 =2x
Divide each side by 2
4/2 =2x/2
2=x
