The radius and arc length are given

Mathematics

1 answer:

Semmy [17]3 years ago

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Masja [62]

Answer:

b. Jason pays $ 3 on the $ 3 he owes in fines.

Step-by-step explanation:

an amount owing is represented as negative. the action of paying dues or making a payment is treated as positive.

therefore, Jason pays +3 to the owed 3. this, +3 -3

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3 years ago

A bag contains 42 red marbles, 6 white marbles, and 8 gray marbles. You randomly pick out a marble, record its color, and put it

Elanso [62]

For any single draw,

$\mathbb P(\text{white})=\dfrac6{42+6+8}=\dfrac6{56}$
$\mathbb P(\text{gray})=\dfrac8{42+6+8}=\dfrac8{56}$

Drawing a white marble or a gray marble are disjoint events; only one of them can happen. So

$\mathbb P(\text{white or gray})=\mathbb P(\text{white})+\mathbb P(\text{gray})-\underbrace{\mathbb P(\text{white and gray})}_0$
$\mathbb P(\text{white or gray})=\dfrac6{56}+\dfrac8{56}=\dfrac{14}{56}$

Out of 224 draws, you should expect $\dfrac{14}{56}\times224=56$ of the marbles to be either white or gray.