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riadik2000 [5.3K]
2 years ago
15

Considering the probability you found in part D, which option makes more sense for Jake to choose? Explain your reasoning.

Mathematics
1 answer:
natka813 [3]2 years ago
4 0

The probability that can be chosen by Jake will be 33.5%.

<h3>How to calculate the probability?</h3>

The area of the whole dartboard will be:

= πr²

where r will be:

= 3 + (4 × 4)

= 3 + 16

= 19

Area = π(19)² = 361π²

The area of 30, 40, and 50 points will be:

= π × [3 + (2 × 4)]²

= 121π²

The probability will be:

= (361π - 121π) × 100

= 33.5%

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

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3 years ago
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There are 16 kids on a soccer team. The players are either boys or girls, and they either prefer playing offense or defense. The
Mariana [72]

Answer:

P(B|A)=\frac{2}{7}

Step-by-step explanation:

The probability of P(B|A) can be read as the probability of event B occurring given event A. In this question, event A occurs when the chosen player is a girl. There are 7 girls on the soccer team. Event B occurs when the chose player plays defense. Since P(B|A) stipulates that event A already occurred, we want the probability of choosing a player who prefers defense from the 7 girls. There are 2 girls who prefer defense, hence P(B|A)=\boxed{\frac{2}{7}}.

<u>Alternative:</u>

For dependent events A and B, the conditional probability of event B occurring given A is given by:

P(B|A)=P(B\cap A)\div P(A)

P(B\cap A) indicates the intersection of P(B) and P(A). In this case, it is the probability that both events occur. Since there are 16 kids on the soccer team and only 2 are girls and prefer defense, P(B\cap A)=\frac{2}{16}=\frac{1}{8}. The probability of event A occurring (chosen player is a girl) is equal to the number of girls (7) divided by the number of kids on the team (16), hence P(A)=\frac{7}{16}.

Therefore, the probability of event B occurring, given event A occurred, is equal to:

P(B|A)=\frac{1}{8}\div \frac{7}{16},\\\\P(B|A)=\frac{1}{8}\cdot \frac{16}{7}=\boxed{\frac{2}{7}}

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3 years ago
30 ounces is how many pounds
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the answer is 1.875 pounds

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3 years ago
Two sides of a triangle are 5 and 55 cm. Complete the inequality to show the possible lengths of the third side. If the third si
belka [17]

The third side of the triangle falls between (50, 60).

<h3>How to find the third side of a triangle?</h3>

Inequality triangle theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

Therefore, the other two sides are 5 cm and 55 cm. The range of the third side x can be computed using inequality triangle theorem.

Hence,

x < 5 + 55

x < 60

And,

x > 55 - 5

x > 50

Therefore, 50 < x < 60.

Hence, the third side of the triangle falls between (50, 60).

learn more on triangle here: brainly.com/question/1163433

#SPJ1

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2 years ago
You roll a number cube numbered from 1 to 6. What is the probability that the number rolled is greater than 5?
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Since there’s is only 6 numbers, 1,2,3,4,5,6. The only number that is greater than 5 is 6. And since there are 6 numbers the probability of rolling a number greater than 5 is 1/6. I hope you understand what I wrote.

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