Answer:
B. 0.602%
Step-by-step explanation:
Probability is essentially (# times specific event will occur) / (# times general event will occur). Here, we have a few specific events: draw a quarter, draw a second quarter, draw a penny, and draw another penny. The general event will just be the number of coins there are to choose from.
The probability that the first draw is a quarter will be 4 / (4 + 8 + 9) = 4/21.
Since we've drawn one now, there's only 21 - 1 = 20 total coins left. The probability of drawing a second quarter is: (4 - 1) / (21 - 1) = 3/20.
The probability of drawing a penny is: 9 / (20 - 1) = 9/19.
The probability of drawing a second penny is: (9 - 1) / (19 - 1) = 8/18.
Multiply these four probabilities together:
(4/21) * (3/20) * (9/19) * (8/18) = 864 / 143640 ≈ 0.602%
The answer is B.
If we let x and y represent the prices of adult and child tickets, respectively, then we can write two equations based on the daily sales.
8x +5y = 108
x +14y = 67
A graphing calculator shows the solution of these equations to be
(x, y) = (11, 4)
The price of an adult ticket is $11.
The price of a child ticket is $4.
2x^2 + x -3 can be factorised
<span>[2x + 3][x - 1] </span>
<span>As length times width = area </span>
<span>one possible set of measurements are </span>
<span>length = [2x + 3] </span>
<span>width = [x-1] </span>
Answer:
42mm
Step-by-step explanation:
Let the shortest side of the triangle be 5x, the middle side be 6x, and the longest side be 8x.
5x+6x+8x = 159.6
19x = 159.6
x = 159.6 ÷ 19
x = 8.4
Shortest side of triangle (5x) = 8.4 × 5
= 42
