A driver brings a car to a full stop in 2.0s. It’s acceleration is -11 m/s^2. How far did the car travel while braking

Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10

Zina [12379]

Response:

The likelihood is 42%

Detailed explanation:

Conditional Probability

This measures the chance of event B happening given that event A has occurred and that A and B are associated (not independent).

If P(A) signifies the chance of A occurring, $P(A\cap B)$ represents the probability of both events happening, and P(B|A) denotes the sought probability of B's occurrence:

$\displaystyle P(B|A)=\frac{P(A\cap B)}{P(A)}$

We know that there are 125 members in the high school marching band, with 41 being seniors (event B), 24 playing the trumpet (event A), and 10 seniors who also play the trumpet.

The chance a randomly chosen band member plays the trumpet is

$\displaystyle P(A)=\frac{24}{125}$

The chance that this individual possesses both characteristics is

$\displaystyle P(A\cap B)=\frac{10}{125}$

Therefore, the conditional probability required is

$\displaystyle P(B|A)=\frac{\frac{10}{125}}{\frac{24}{125}}$

$\displaystyle P(B|A)=\frac{10}{24}=\frac{5}{12}=0.42$

The likelihood is 42%

5 0

2 months ago

Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya’s

tester [12383]

To determine Kevin's age, you subtract 3 from 17, leading to 7 years for Kevin. To calculate Uncle Rob's age, add 3 to 17 to get 20, then multiply this by 3 to find Uncle Rob's projected age of 60. Finally, subtracting 6 from 60 gives 54; thus, Kevin is 7 years old, whereas Uncle Rob is 54 years old.

7 0

2 months ago

Read 2 more answers

A group of friends is attempting free throws on a basketball court. The table shows the number of attempts and the number of bas

tester [12383]

Response:

The Second, Fourth, and Fifth dots on the graph

Finn Jeff Kevin

6 0

3 months ago

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Bella works at the Blue River Cabin Resort, which has 220 rooms. Each room is available at a price of $79 per night Bella uses t