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3 years ago

The graph below shows the distance a car can

Mathematics

1 answer:

Gnom [1K]3 years ago

5 0

Answer:

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Step-by-step explanation:

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Solve x/5 = 15 = 10<br> x = 20<br> x = 75<br> x = 3

Alika [10]

Answer:

x=20

Step-by-step explanation:

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3 years ago

What percentage of families listened to country music?

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According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

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.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

3 years ago

Translate the sentence into an equation. Twice the sum of a number and 5 equals 8

Mumz [18]

Colten worked 5 days a week witch working 4 more weeks equals 8 days total

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4 years ago

Write a real world problem that involves classifying a quadrilateral

nignag [31]

You have a table is a quadrilateral, but you don't know the type of quadrilateral it is. It has four equal sides and 2 sets of parallel sides. What could it be?
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4 years ago