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3 years ago

Find the lateral area of the prism. 27 sq. ft. 36 sq. ft. 54 sq. ft. Find the total area of the prism. T.A.= Find the volume.

Mathematics

2 answers:

Yakvenalex [24]3 years ago

7 0

The volume would be 54 sq. f.

WINSTONCH [101]3 years ago

7 0

It is 54 because that is the ansewr to this question bra

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Find the volume of the cylinder. Round your<br> answer to the nearest tenth.

tino4ka555 [31]

5,024

Formula of volume of a cylinder: V=Bh
V= (3.14 (10)^2) 16
10x10 = 100
(3.14 x 100) 16
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2 years ago

The price of a computer is reduced by 17.5%. The reduced price is £264 by how much is the price reduced

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Answer:

Step-by-step explanation:

100%-17.5%= 82.5%

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so (1% of the orginal price)=

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Food bill before tax $62 Sales tax: 8% Tip: 15%<br> What is the tax?

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2 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 $P(X \geq 1)$

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

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2 years ago