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Darina [25.2K]
2 years ago
9

A bicycle is drawn on a grid such that the front tire is represented by the equation (x-16)^2+y^2=9 what is the tire's diameter?

Mathematics
1 answer:
choli [55]2 years ago
6 0
The equation of a circle is equal to:
(x – h)^2<span> + (y – k)^2</span><span> = r^</span><span>2
</span>
where r is the radius
(x-16)^2 + y^2 = 3^2

So the radius is equal to 3.
We are asked to give the diameter.
Multiply the radius by 2.
Then the diameter is 3*2 = 6
The correct answer is letter A. 6

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In Vancouver, British Columbia, the probability of rain during a winter day is 0.42, for a spring day is 0.23, for a summer day
nadezda [96]

Answer:

31.82% probability that this day would be a winter day

Step-by-step explanation:

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: Rain

Event B: Winter day

Probability of rain:

0.42 of 0.25(winter), 0.23 of 0.25(spring), 0.16 of 0.25(summer) or 0.51 of 0.25(fall).

So

P(A) = 0.42*0.25 + 0.23*0.25 + 0.16*0.25 + 0.51*0.25 = 0.33

Intersection:

Rain on a winter day, which is 0.42 of 0.25. So

P(A \cap B) = 0.42*0.25 = 0.105

If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day?

P(B|A) = \frac{0.105}{0.33} = 0.3182

31.82% probability that this day would be a winter day

6 0
3 years ago
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