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4 years ago

Is -3 plus pi a rational number or a irrational number

Mathematics

1 answer:

sdas [7]4 years ago

8 0

Answer:

irrational

Step-by-step explanation:

An irrational number has an endless number of digits to the right of the decimal

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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

Can someone help me with number 7

Over [174]

Answer:

1. zach is 20'

2. zack is 13

Step-by-step explanation:

5 0

3 years ago

Besides a histogram what are some other ways you can display these data

GalinKa [24]

Pictograph, Bar Graph, Circle Graph, Line Graph, Stem-and-Leaf Plot, Box-and-Whisker Plot, Line Plot, and Scatter Plot. Hope this helps, I'm learning the same thing right now test tomorrow thanks for the practice!

6 0

3 years ago

When š = [9,-4], what is -65?<br> o[-54,24]<br> o[3, -10]<br> o[9, 24]<br> o[-27, 12]

monitta

I think a or d is the answer sorry for not giving you the answer

6 0

4 years ago

(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ

ohaa [14]

Answer:

See below

Step-by-step explanation:

$( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS$

Thus proved

8 0

3 years ago