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3 years ago

The circumference of a circle is 604 cm. What is the diameter of the circle?

Mathematics

1 answer:

Marta_Voda [28]3 years ago

6 0

Step-by-step explanation:

The Circumference is:

$c = 2\pi \: r$

Radius r is:

$r = \frac{d}{2}$

So,

$c = \pi \: d \\ d = \frac{c}{\pi} \\ d = \frac{604}{\pi} \: cm$

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20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

If the probability of an event is 0.7 repeating, what are the odds against the event

ivann1987 [24]

So the probability is the number of favorable outcomes divided by the number of total outcomes. This means that the favorable outcomes are 7/9, and the unfavorable outcomes are 2/9. The odds against the event are the unfavorable outcomes. Therefore the odds against the event is 2/9, or 0.2 repeating. Hope this helps. Feel free to ask more questions, and feel free to ask questions about my explanation.

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3 years ago

If f(x)= 0, what is x?

crimeas [40]

Answer:

X is the input to the function ... it appears that it is unrestricted...

it can be anything from -∞ to + ∞ (the domain) ..

in every case the output (range) is "0"

Step-by-step explanation:

7 0

3 years ago

Tim's mother has $24 left after buying school supplies. The next day she earns $232. She then divides all of the money equally a

Pie

Answer:

Tim has 64 dollars. I did the math and I know I'm right

8 0

3 years ago

Read 2 more answers

What is the answer for3+8x=4

Schach [20]

Answer: x=1/8

Step-by-step explanation:

Subtract 3 from both sides

3+ 8x=4

8x=1

Divide by 8 on both sides

x=1/8

Hope this helped! :)

3 0

3 years ago