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3 years ago

a scale model of a school building is 5 inches tall. If the building is 100 feet tall, find the scale of the model

Mathematics

2 answers:

Fiesta28 [93]3 years ago

8 0

Answer with Step-by-step explanation:

A scale model of a school building is 5 inches tall.

Actual size of the school building is 100 feet.

1 feet=12 inches

100 feet=12×100 inches

= 1200 inches

5 inch is representing 1200 inches

1 inch represents 1200/5 inches

1 inch represents 240 inches

or 1 inch represents 12×20 inch

or 1 inch represents 20 feet

Scale of the model is:

1 inch represents 240 inches

1 inch represents 20 feet

Maslowich3 years ago

7 0

It's 20 feet to one inch or 10 feet to half an inch.

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3 years ago

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 $P(X \geq 1)$

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

In which

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3 years ago

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tankabanditka [31]

Answer:

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