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3 years ago

A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it

Mathematics

1 answer:

34kurt3 years ago

3 0

Answer:

16 inches

Step-by-step explanation:

Note: it should say 56π inches instead of 56 inches otherwise no option is correct

Given

Diameter of the wheel = 16 in

Full circumference of the wheel

C =πd = 16π

Bike moves

56π

The wheel turns:

56π /16π = 3.5 times

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

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2 years ago

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There are two boxes containing red and blue balls. For box A, there are 3red balls and 7blue balls. For box B, there are 6red ba

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Answer:

0.3333 = 33.33% probability that this red ball is from box A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Red ball

Event B: From box A.

Probability of a red ball:

3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

$P(A) = 0.3*0.5 + 0.6*0.5 = 0.45$

Probability of a red ball from box A:

0.3 of 0.5, so:

$P(A \cap B) = 0.3*0.5 = 0.15$

What is the probability that this red ball is from box A?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.45} = 0.3333$

0.3333 = 33.33% probability that this red ball is from box A.

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3 years ago

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

You use the quadratic formula of $ax^{2} +bx+c = 0$ to get:

a = 1

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x= ( -7 ± √7²- 4(1)(-13) )/(2(1))

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3 years ago