Jonathons piggy bank contains 20 nickels 30 quarters and 50 one dollar coins. He picks 20 coins from the bank at random

Mathematics

1 answer:

fredd [130]3 years ago

4 0

Answer:

All in all, Jonathan's piggy bank contains 100 coins. Among these coins, only 50 are one-dollar coins. Therefore, the theoretical probability of picking one-dollar coin from the piggy bank is equal to 50/100 or 1/2.

Similarly, from the experiment, 20 coins were picked and among these there are 12 one-dollar coins. The answer to the second question is therefore 12/20 or 3/5.

Step-by-step explanation:

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If cot(theta)= 4/3, find csc(theta) (Picture provided)

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Answer:

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If $\cot \theta=\dfrac{4}{3},$ then we can consider right triangle with adjacent leg 4 un. and opposite leg 3 un.. By the Pythagorean theorem,

$\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{hypotenuse}^2=4^2+3^2,\\ \\\text{hypotenuse}^2=16+9,\\ \\\text{hypotenuse}^2=25,\\ \\\text{hypotenuse}=5\ un.$