<span>The answer is letter C - 0.33.
The conditional probability formula for the probability of A given B is
P(A l B) = P (A and B) over P (B)
In this case, it's
P (worms l shrimp) = </span>P (worms and shrimp) over P (shrimp)
P (worms l shrimp) = P (0.2) over P (0.2 + 0.4)
P (worms l shrimp) = P (0.2) over P (0.6)
P (worms l shrimp) = 0.33
Answer:
2880 in³
Step-by-step explanation:
We can first split this prism into two rectangular prisms. The first one, the bottom portion of the steps, will have dimensions 16 in x 20 in x 6 in; this makes the volume
16(20)(6) = 1920 in³
The top part have a width of 8 inches. This is because the entire width of the bottom is 16; the part from where the top step ends to the other side is 8 inches of it. This leaves 16-8 = 8 inches for the width.
The length will be 20, just as the length of the entire set of steps is.
The height will be 6; this is because the total height of the steps is 12 inches, and the height of only the bottom step is 6; this leaves 12-6 = 6 steps.
This gives us 8 in x 20 in x 6 in, giving us
8(20)(6) = 960 in³
This makes the total volume
1920+960 = 2880 in³
Given that a movie producer conducted a survey after a preview screening of her new
movie to find out how the film would be received by viewers from
different age groups.
Given the table that shows the numbers of viewers in
different age groups who rated the film excellent, good, average, and
poor.
Viewer's Age Group Excellent Good Average Poor Marginal Total
16–25 52 42 12 7 113
26–35 33 50 5 9 97
36–45 58 12 28 34 132
46–55 25 17 22 12 76
56+ 12 5 3 8 28
Marginal Total 180 126 70 70 446
<span>The number of viewers from the 46 - 55 age group who rated the film excellent is 25.
Therefore, the percentage of the total survey group who </span><span>rated the film excellent and also was from the 46-55 age group</span> = 25 / 446 x 100% = 5.61%
Answer:
In bold below.
Step-by-step explanation:
let the shorter leg be x units long, then:
longer leg = x+4
and hypotenuse = x + x + 4 - 8 = 2x - 4 units.
By Pythagoras:
(2x - 4)^2 = x^2 + (x + 4)^2
4x^2 - 16x + 16 = x^2 + x^2 +8x + 16
2x^2 - 24x = 0
2x(x - 12) = 0
x = 12.
So the shorter leg = 12 units
Longer leg = 4 + 12 = 16 units and
Hypotenuse = 12 + 16 - 8 = 20 units.