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DedPeter [7]
3 years ago
11

Y=3x-5 y=-6x+4 system of equations

Mathematics
1 answer:
slega [8]3 years ago
6 0
X=1, y=-2--------------------------
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Suppose you throw a dart at a circular target of radius 10 inches. Assuming that you hit the target and that the coordinates of
sukhopar [10]

Answer:

a) The probability is 0.04

b) The probability is 0.36

c) The pprobability is 0,25

d) The probability is 0.09

Step-by-step explanation:

Lets calculate areas:

the target has a radius of 10 inces, hence the target area has a area on 10²*π = 100π square inches.

a) A circle of 2 inches of radius has an area of 2²π = 4π square inches, hence the probability of hitting that area is 4π/100π = 1/25 = 0.04

b) If the dart s within 2 inches of the rim, then it is not at distance 8 inches from the center (that is the complementary event). The probability for the dart to be at 8 inches of the center is 8²π/100π = 64/100 = 16/25 = 0.64, thus, the probability that the dart is at distance 2 or less from the rim is 1-0.64 = 0.36.

c) The first quadrant has an area exactly 4 times smaller than the area of the target (each quadrant has equal area), thus the probability for the dart to fall there is 1/4 = 0.25

d) If the dart is within 2 inches from the rim (which has probability 0.36 as we previously computed), then it will be equally likely for the dart to be in either of the 4 quadrants (the area that is within 2 inches from the rim forms a ring and it has equal area restricted on each quadrant). Therefore, the probability for the dice to be in the first qudrant and within 2 inches from the rim is 0.36*1/4 = 0.09.

6 0
4 years ago
Am i right 5TH GRADE MATH THANKS!​
Genrish500 [490]

Answer:

Step-by-step explanation:

the answer is 7.9

6 0
3 years ago
Read 2 more answers
today only, a sofa is being sold at a 36% discount. The sale price is $560. what was the price yesterday?
pashok25 [27]

Answer:

Step-by-step explanation:

Let yesterday's price  be x

Discount percentage = 36%

Sale price = $ 560

(100-36)% of x = 560

64 % *x = 560

\frac{64}{100}*x=560\\\\x=560*\frac{100}{64}\\\\x=875

Yesterday's price = $ 875

8 0
3 years ago
Given the definitions of f(x) and g(x) below, find the value of (f(g(-3)).
marta [7]

Answer: the answer is A my friend ✨

Step-by-step explanation: I got it right, hope it helps

8 0
3 years ago
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BaLLatris [955]
20.9984 rounded = 21
6 0
2 years ago
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