Calculate the mean and median of the list of numbers below: 3, 5, 2, 10, 6, 3, 7, 3

Answers

Answer 1

Answer:

Step-by-step explanation:

mean = sum of data / no of data

=3 + 5 + 2 + 10 + 6 + 3 + 7 + 3/8

=36/8

4.5

to calculate the given data must be arranged in ascending to descending order . So , the data are

2 , 3 , 3 , 3 , 5 , 6 , 7 , 10

Median = N + 1/2    (N means no of data)

=8 + 1/2

=9/2

=4.5

=(4 + 5) th term / 2

=3 + 5/2

=8/2

=4


Related Questions

A state sales tax of 6% and a local sales tax of 1% are levied in Tampa, Florida. Suppose the price of a
particular car in Tampa is $15,000, and an oil change at a certain auto center is $29.
Which statement is true about the total cost of the car and the oil change after sales tax has been
calculated?

Answers

Answer:

16050, 31.03

Step-by-step explanation:

15000x1.07 (adds 7% tax)=16050

29x1.07(adds 7% tax to price)=31.03

$1400 is invested at 4% per annum simple interest. How long will it take for the amount to reach $1624? Show you working.​

Answers

Answer:

4 years

Step-by-step explanation:

I = prt

F = p + prt

F = 1400 + 1400 * 0.04 * t

1624 = 1400 + 1400 * 0.04 * t

224 = 56t

t = 4

Answer: 4 years

Select the correct answer.

Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?


A.

$100

B.

$120

C.

$150

D.

$180

Answers

Answer:

180

Step-by-step explanation:

9x20= 180

Answer:

Step-by-step explanation:

Well You Know you have to multiply

multiply 9 times 20

9 times 2 18

then add the zeros

The answer is 180

33. A labourer is engaged for 20 days on the condition that he will receive 120 for each day he
works and will be fined 10 for each day he is absent. If he receives 1880 in all, for how
many days did he remain absent?
thind of his nronerty to his son one-fourth to his daughter and​

Answers

Answer:

false

Step-by-step explanation:

Please answer question 4

Answers

Answer:

53

Step-by-step explanation:

what is 5.73 as a mixed number​

Answers

Answer:

[tex]5 \ \frac{73}{100} [/tex]

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

2 numbers to the right of the decimal point, place the decimal number over 10^2 (100). Next, add the whole number to the left of the decimal.

Answer:

5 73/100

Step-by-step explanation:

5.73 = 573

100

= 573

100

as a fraction

To convert the decimal 5.73 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

5.73 = 5.73

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

5.73

1

= (5.73 × 100)

(1 × 100)

= 573

100

.

(This fraction is alread reduced,

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 573

100

is also equal to 5 73/100

when expressed as a mixed number.

You work no more than 12 hours a week at your two jobs. The first job pays you $8 an hour, and the second job pays you $10 an hour. You must earn at least $100 each week. Which graph represents this situation (let x represent hours at job 1 and y represent hours at job 2)?

Answers

Answer:

10 hours at job (1)

2 hours at job (2)

Step-by-step explanation:

As per the given information, one earns ($8) dollars at one of their jobs, and ($10) hours at the other. One must earn a total of ($100) dollars, and can work no more than (12) hours. Let (x) be the hours worked at job 1 and (y) be the hours worked at job two.

Since one can work no more than (12) hours, the sum of (x) and (y) must be (12), therefore the following equation can be formed;

[tex]x+y=12[/tex]

One earns ($8) dollars at one of their jobs and ($10) at the other, but one earns a total of (100) one can form an equation to represent this situation.  Multiply the hours worked by the money earn per hour for each job, add up the result and set it equal to (100).

[tex]8x+10y=100[/tex]

Now set up these equations in a system;

[tex]\left \{ {{x+y=12} \atop {8x+10y=100}} \right.[/tex]

Use the process of elimination to solve this system. The process of elimination is a method of solving a system of equations. One must first manipulate one of the equations in the system such that one of the variable coefficients is the additive inverse of the other. That way, when one adds the equation, the variable cancels, one can solve for the other variable then back solve to find the value of the first variable,

[tex]\left \{ {{x+y=12} \atop {8x+10y=100}} \right.[/tex]

Manipulate,

[tex]= \left \{ {{(*-8)(x+y=12)} \atop {8x+10y=100}} \right.\\\\[/tex]

Simplify,

[tex]= \left \{ {{-8x-8y=-96} \atop {8x+10y=100}} \right.\\[/tex]

Add,

[tex]=2y=4[/tex]

Inverse operations,

[tex]y=2[/tex]

Backsolve for (x), use equation one to achieve this,

[tex]x+y=12\\[/tex]

Substitute,

[tex]x+2=12[/tex]

Inverse operations,

[tex]x=10[/tex]

the ratio between length and breadth of a rectangle is 7 : 5 find its length and breadth if it its perimeter is 60 m ​

Answers

Answer:

length= 17.5 m , breadth = 12.5 m

Step-by-step explanation:

The ratio of length : breadth = 7 : 5 = 7x : 5x ( x is a multiplier )

Then

2l + 2b = perimeter ( l is length, b is breadth )

2(7x) + 2(5x) = 60

14x + 10x = 60

24x = 60 ( divide both sides by 24 )

x = 2.5

Then

length = 7x = 7 × 2.5 = 17.5 m

breadth = 5x = 5 × 2.5 = 12.5 m

If one dog eats 5 pounds of food each week, how many dogs will 65 pounds of food feed for a week

Answers

Answer:

It will feed 13 dogs.

Step-by-step explanation:

1 dog = 5 lbs

Set up an equation:

Variable x = number of dogs

1/5 = x/65

Cross multiply:

1 × 65 = 5 × x

65 = 5x

Divide both sides by 5:

13

Check your work:

13 dogs × 5 lbs = 65 lbs

65 = 65

Correct!

This are diferente question help me please

Answers

Step-by-step

28.26 in84.9 m5024 cm277.45 mi 452.16 in1.36 mi44.15 m3.14 cm

I hope it helps you

g The downtime per day for a computing facility has mean 4 hours and standard deviation 0.9 hour. What assumptions must be true to use the result of the central limit theorem to obtain a valid approximation for probabilities about the average daily downtime

Answers

Answer:

To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.

A cone has a diameter of 4 inches and a height of 9 inches. Find the volume of the cone. Use 3.14 for \large \pi.

Answers

Answer:

37.68 in.^3

Step-by-step explanation:

diameter = 4 in.

radius = diameter/2 = 2 in.

height = 9 in.

[tex] V = \dfrac{1}{3}\pi r^2 h [/tex]

[tex] V = \dfrac{1}{3}(3.14)(2~in.)^2(9~in.) [/tex]

[tex] V = \dfrac{1}{3}(3.14)(2~in.)^2(9~in.) [/tex]

[tex] V = \blue{37.68~in.^3} [/tex]

Name the types of angles shown.
Check all that apply

A supplementary angles
B straight angle
C complementary angle
D right angle

Answers

Answer: C) complementary angle and D) right angle

Step-by-step explanation:

A is wrong because supplementary angles add up to 180 and this shows a right angle not a straight line

B is wrong because this a right angle not a straight angle

C is correct because complementary angles are two angles that add up to 90 degrees. angle EFH is split into EFG and GFH which adds up to 90 degrees.

D is correct because you can see the right angle symbol for angle EFH

The given angles shown in the figure are right angles and complementary angles.

Supplementary angles are two angles that add up to 180 degrees.

A straight angle is an angle that measures exactly 180 degrees.

It is a straight line, so it forms a straight angle.

A complementary angle is a pair of angles that add up to 90 degrees.

∠EFG and ∠GFH together are complementary angles as their sum is 90 degrees.

A right angle is an angle that measures exactly 90 degrees.

∠EFH is a right angle.

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ7

Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.

Answers

Answer:

The antiderivative is [tex]F(X) = 6x + 6x^4 + 3x^6 - 15[/tex].

Step-by-step explanation:

Antiderivative F(x)

This is the integral of [tex]F^{\prime}(x)[/tex]

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

[tex]F(x) = \int (6 + 24x^3 + 18x^5) dx[/tex]

[tex]F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K[/tex]

[tex]F(x) = 6x + 6x^4 + 3x^6 + K[/tex]

F(1)=0

[tex]F(X) = 0[/tex] when [tex]x = 1[/tex]. We use this to find K.

[tex]F(x) = 6x + 6x^4 + 3x^6 + K[/tex]

[tex]0 = 6 + 6 + 3 + K[/tex]

[tex]K = -15[/tex]

Thus

The antiderivative is [tex]F(X) = 6x + 6x^4 + 3x^6 - 15[/tex].

I need help with this math problem please

Answers

Answer is A) 8xyz
Since each of the three factors contain a number divisible by 8, that would make it the numerical GCF (greatest common factor). Then when we look at the variables, we see that we can only take our one x, one y, and one z.

Which statement correctly describes the end behavior of y = 3x8 + 5x2 +2x - 1
es
A)
The graph rises to the left and falls to the right.
B)
The graph falls to the left and rises to the right.
C)
The graph rises to the left and rises to the right.
D)
The graph falls to the left and falls to the right.

I need help with this last question plz

Answers

Answer:

C)  The graph rises to the left and rises to the right.

Step-by-step explanation:

The highest expone tis even and it's coefficient is positive

therefor

The graph rises to the left and rises to the right.

Please help me in this! you get 30 points!

Answers

Answer:

y=3x-2

Step-by-step explanation:

You can verify it's not D because the y-intercept is at -2.

You can verify it's not A because that would mean the x-intercept is 2 despite it appearing to be closer to one.

You can verify it's not B because that would mean the x-intercept is 1.5

It’s C. If I’m wrong sorry

What is the standard form of 14587.25​

Answers

Answer:

fourteen thousand five hundred and eighty seven point twenty five.

Step-by-step explanation:

The given number is 14587.25.

We need to write it in standard form.

7 is in ones place, 8 is in tens place, 5 is in hundreds place, 4 is in thousands place and 1 is in ten-thousands place.

So,

14587.25 = fourteen thousand five hundred and eighty seven point twenty five.

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 590(1.79)

Answers

Answer:

growth

79% rate of increase

Step-by-step explanation:

1.79 is > than 1

therefor growth

1.79  = 79% rate of increase

Which table represents a linear function

Answers

Answer:

First table

Step-by-step explanation:

Given the functions below,find (f -g) (-1).
f(x) = x2 + 3
g(x) = 4x - 3

Answers

Answer:

f(x)=-1,(-1)2+3=-2+3=1g(x)=-1 4(-1)-3=4-3=1(

Step-by-step explanation:

(f-g)=1

Evaluate 5|7 - 9| - 2.

-12
0
1
8

Answers

[tex]\longrightarrow{\green{ D. \:8 }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]5 \: |7 - 9| - 2[/tex]

[tex] = 5 \: | - 2| - 2[/tex]

[tex] = 5 \times 2 - 2[/tex]

[tex] = 1 0- 2[/tex]

[tex] = 8[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

which of the following statements is true

Answers

Answer: B ACE is similar to DCB

Step-by-step explanation:

The negative sqaure root 75 fall between which consecutive integers.​

Answers

Answer:

8 and 9

Step-by-step explanation

Solve the system of equations.
y = 3x
y = x2 - 10
A. (2,6) and (5, 15)
B. (2,6) and (-5, -15)
C. (-2,-6) and (-5, -15)
D. (-2,-6) and (5, 15)

Answers

Answer:

D. (-2, -6) and (5,15)

Step-by-step explanation:

When you set the equations together, you get x^2-3x-10. You then set this equation equal to zero and get (x-5)(x+2) or x=-2 and x=5. Then, plug these x-values into each equation to get your y-values.

Please help me with this question!!! I'm
desperate!

Answers

step 2: angle o and angle p are supplementary angles

You deposit $ 755 each month into an IRA earning 1.3 % interest compounded monthly
How much will you have in the account in 23 years?

Answers

Answer:

FV= $242,731.14

Step-by-step explanation:

Giving the following information:

Annual investment (A)= $755

Number of periods (n)= 23*12= 276 months

Interest rate (i)= 0.013/12= 0.0010833

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {755*[(1.0010833^276) - 1]} / 0.0010833

FV= $242,731.14

PLEASE HELP I WILL GIVE BRAINLIEST AND 25 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:

f(x) = 29,000(0.88)x

What does 0.88 represent?

The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%

Answers

9514 1404 393

Answer:

  (a) The decrease in the value of the truck, which is 12%

Step-by-step explanation:

The only reasonable choice among the offered answers is the one shown above.

__

We would describe the value 0.88 as the annual multiplier of the truck's value, which decreases 12% each year.

I don’t get this at all

Answers

Answer:

0.21

Step-by-step explanation:

There's 21 kids with a cell phone and no tablet

so 21/100 = 0.21

Suppose you take a survey of all the schools in your state. What would you expect the relationship between the number of students and the number of teachers in each school to be?

Answers

Answer:

25 students:1 teacher

Step-by-step explanation:

in ever class in my school there is 1 teacher and we have between 20 and 30 students therefor 20 + 30 / 2 is 25

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