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2 years ago

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

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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

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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

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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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3 years ago