1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
postnew [5]
3 years ago
8

Calculate the median 5,10,12,4,6,11,13,5

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

For this case, we have by definition that, the median of a set of numbers is the average number in the set, after the numbers have been ordered from lowest to highest. If there is an even number in the set, the median is the average of the two middle numbers.

So, the given set is:

{4,5,5,6,10,11,12,13}

Since there are 8 numbers, the set is even. Then we find the average of the two numbers in the middle:

\frac {6 + 10} {2} = \frac {16} {2} = 8

The median is 8

ANswer:

8

You might be interested in
Can you explain how to do this math problem?
d1i1m1o1n [39]

Since the problem is 2x^2-5xy-y^3 we first have to plug in what the x and y stands for, once you do that your problem should look like this:

2(-3)^2- 5(-3)(-2)- (-2)^3

Now take the parentheses away and when you do that your signs change.

2x3^2-5x(-3)x(-2)-(-2)^3    

do it again with -5x(-3)x(-2)

2x3^2-30-(-2)^3

now do this with (-2)^3

2x3^2-30-(-8)

Now evaluate the power

3^2 becomes 9

2x9-30-(-8)

then change -(-8) to a positive since two negatives make a positive

2x9-30+8

Now multiply the numbers 2x9

18-30+8

Then do 18-30 which equals -12 then add 8

Now you are left with your answer:

<u>-4</u>


Hope this helps! :3


6 0
3 years ago
An estimated 3 out of every 25men are left-handed
arsen [322]

Answer:

\frac{3}{25} 12% of the men are left handed.

Step-by-step explanation:

We have,

An estimated 3 out of every 25 men are left handed.

\frac{3}{25} × 100

= 3 × 4

= 12 %

5 0
3 years ago
Bob is a bus driver, and his monthly salary is $1510. If the New York State income tax rate is 6.45%. How much did the money ded
viva [34]

Answer:

<h2>i. $97.4</h2><h2>ii. $1412.6</h2>

Step-by-step explanation:

step one:

given data

Bob's  monthly salary is $1510

tax= 6.45%

Required

The deduction and his take-home salary

Step two:

let us compute the deduction

=6.45/100*1510

=0.0645*1510

=$97.4

Let us compute his take home

=monthly salary- tax deduction

=$1510-$97.4

=$1412.6

6 0
3 years ago
Matt earned $28,500 last year. He paid $8,265 for rent. What percent of his earnings did Matt pay for rent ?
Katena32 [7]

Answer: 29%

Step-by-step explanation:

You need to divide the rent, 8265, by the amount of money he earns.

8265/28500 is .29

Multiply that by 100 to get it in percent form

5 0
3 years ago
The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest
Ksenya-84 [330]

Answer:

a) 0.7287

b) 0.9663

c) 0.237

d) 3.65 tons of cargo per week or more that will require the port to extend its operating hours.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  4.5 million tons of cargo per week

Standard Deviation, σ = 0 .82 million tons

We are given that the distribution of number of tons of cargo handled per week is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P( port handles less than 5 million tons of cargo per week)

P(x < 5)

P( x < 5) = P( z < \displaystyle\frac{5 - 4.5}{0.82}) = P(z < 0.609)

Calculation the value from standard normal z table, we have,  

P(x < 5) =0.7287= 72.87\%

b) P( port handles 3 or more million tons of cargo per week)

P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)

Calculating the value from the standard normal table we have,

1 - 0.0337 = 0.9663 = 96.63\%\\P( x \geq 3) = 96.63\%

c)P( port handles between 3 million and 4 million tons of cargo per week)

P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%

P(3 \leq x \leq 4) = 23.7\%

d) P(X=x) = 0.85

We have to find the value of x such that the probability is 0.85.

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85  

= 1 -P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.85  

=P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.15  

Calculation the value from standard normal z table, we have,  

P( z \leq -1.036) = 0.15

\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65

Thus, 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

8 0
3 years ago
Other questions:
  • What is the domain and range of f(x)=4 x 2 to the x power
    11·1 answer
  • Which expression below gives the average rate of change of the function g(x)= -x^2 -4x on the interval 6 ≤ x ≤ 8?
    7·1 answer
  • PLS HELP ««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««
    9·1 answer
  • 2÷628 this is my QUESTION what is the answer
    6·2 answers
  • What is <br> y=5x+3 -2x-4y=10
    15·1 answer
  • An angle measures 58.4° more than the measure of its complementary angle what is the measure of each angle?
    8·1 answer
  • Determine the number of operations needed to solve 7c = 84
    15·2 answers
  • Can someone tell me what is...............<br> sike I lied here have 100 points
    10·2 answers
  • There were thirteen friends playing a video game online when six players quit.If each player left had eight lives how many lives
    11·2 answers
  • Mrs. Harrold asked her reading class to make a graph illustrating the similarities and differences between the three stories. Wh
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!