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3 years ago

Question What is the median of the first nine positive integers?

Mathematics

1 answer:

marin [14]3 years ago

3 0

Answer: 5

Step-by-step explanation:

1, 2, 3, 4, 5, 6, 7, 8, 9

5 is the middle number, or median of the numbers.

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Find the value of x.<br> 1)<br> 46°<br> x

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How do you solve each system by graphing

abruzzese [7]

See the attached graph

<h2>Explanation:</h2>

Hello! Remember to write complete questions in order to get good and exact answers. Here you don't provide any system so I couldn't help you in an exact way, but in a general manner. When solving systems by graphing we just need to find the points of intersection of the graphs of the functions that built up the system.

Suppose you have the following system of linear equation:

$\left\{ \begin{array}{c}y=2x+3\\3y=8x+27\end{array}\right.$

yBy using graphing tools, we get the graph shown below. As you can see, the point of intersection of both lines is $(-9,-15)$

<h2>Learn more:</h2>

Solving systems by graphing: brainly.com/question/13799715

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3 years ago

The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operat

vesna_86 [32]

The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

According to the statement

we have given that the duration of the trip is 2 hours and 15 minutes. And we have to how much standard deviation be reduced to increase the operational efficiency.

So, For this purpose, we know that the

Let X be the time taken to reach the resort. Then it is given that the

N (μ , σ).

Here μ is 2 hours then

μ = 2*60 = 120 minutes.

And

Let σ be the reduced standard deviation such that new distributions becomes N (μ , σ)

Then P ( x <135)

here 135 is the minute format of 2 hours and 15 min.

So,

P ( x <135) = 0.95

And

P [ (x -120 / σ) < (135 -120 / σ)] = 0.95

P [ Z < ( 15 / σ)] = 0.95

And after solving it the

σ = 9.22 min.

i.e. 12 - 9.22 = 2.88 min.

So, The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

Learn more about Standard deviation here

brainly.com/question/475676

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

#SPJ4

5 0

1 year ago