Answer:
7.9.
Step-by-step explanation:
Use the Pythagorean Theorem.
√((-5)^2 + (6)^2 + (-1)^2) = √62 = 7.87 = 7.9.
<span>Integration from 0 to pi/2 of (sinx + cosx)/(9+16sin(2x)) dx = 0.109861</span>
Answer:
20
Step-by-step explanation:
The expected value of a toss is:
E(X) = (0.10) (3) + (0.30) (1) + (0.60) (0)
E(X) = 0.6
If she scores an average of 0.6 points per toss, then the expected number of tosses needed to get 12 points is:
12 / 0.6 = 20
Using a random number table, we can assign digit 0 as a 3-point hole, digits 1-3 as a 1-point hole, and digits 4-9 as no points. Read the digits and add the points until you get 12 points. The number of digits read is the number of beanbag tosses.
x + 2y = 9
x + 3y = 13
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Solve for x in the first equation. Subtract 2y from both sides.
x = 9 - 2y
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Plug x into the second equation.
(9 - 2y) + 3y = 13
Combine like terms.
9 + y = 13
Subtract 9 from both sides.
y = 4
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Plug y back into the first equation.
x + 2(4) = 9
x + 8 = 9
Subtract 8 from both sides.
x = 1
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x = 1
y = 4
