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3 years ago

At a large museum, there are 60 people in each tour group.

Mathematics

1 answer:

sineoko [7]3 years ago

3 0

Answer: (2,120) (6,360) (8,480)

Step-by-step explanation: since every group has 60 people 2x60=120 6x60=360 8x60=480

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1.24 to percent convertingbetween percents,decimals and fractions

trapecia [35]

As a percent : 124%

As mixed fraction : 1 6/25

As improper fraction : 31/25

3 0

3 years ago

A manager randomly selected 25 large cash transactions at a bank that were made in January. The manager then carefully tracked d

Dmitriy789 [7]

Answer:

0.4629 = 46.29% probability that the manager finds more than two such transactions

Step-by-step explanation:

For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that 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.

A manager randomly selected 25 large cash transactions at a bank that were made in January.

This means that $n = 25$

The chance for a procedural error is 10%

This means that $p = 0.1$

What is the probability that the manager finds more than two such transactions?

This is:

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

In which

$P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718$

$P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994$

$P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659$

$P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629$

0.4629 = 46.29% probability that the manager finds more than two such transactions

4 0

3 years ago

William is reading a book for class. The book is 94 pages long. For the first assignment, William read 25 pages. For the second

kakasveta [241]

25+37=62
94-62=32
there are 32 pages left to read

6 0

4 years ago

Read 2 more answers

In ΔQRS, q = 73 inches, r = 40 inches and s=51 inches. Find the measure of ∠S to the nearest degree.

sweet-ann [11.9K]

Answer:

42 degrees

Step-by-step explanation:

8 0

3 years ago

Asap help!

prisoha [69]

We're given s = 8^(3/2) as the side length. If we square both sides then we have s^2 = [8^(3/2)]^2 = 8^3. Note how the '2's effectively cancel out. This is because we multiply the exponents (3/2) and 2 to get (3/2)*2 = (3/2)*(2/1) = (3*2)/(2*1) = 6/2 = 3.

So A = s^2 = 8^3 = 512 is the area of the square

4 0

4 years ago