Graph f(x) = 4[x] +5.

Answer: Mean = 7.8

              Median = 9

             Mode = 2,9

Step-by-step explanation: Mean is the average value of a data set. Mean from a frequency table is calculated as:

[tex]E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}[/tex]

E(X) = 7.8

Mean for the given frequency distribtuion is 7.8.

Median is the central term of a set of numbers. Median in a frequency table is calculated as:

1) Find total number, n:

n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46

2) Find position, using: [tex]\frac{n+1}{2}[/tex]

[tex]\frac{n+1}{2}=\frac{47}{2}[/tex] = 23.5

Median is in the 23.5th position.

3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9

Median for this frequency distribution is 9.

Mode  is the number or value associated with the highest frequency.

In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.

Mode for this distribution is 2 and 9.

Following are the calculation of mean, median, and modes:

Given value:

[tex]\bold{x \ \ \ \ \ \ f} \\\\ 2\ \ \ \ \ 10 \\3\ \ \ \ \ 9\\9 \ \ \ \ \ 10\\11\ \ \ \ \ 7\\12 \ \ \ \ \ 3\\15 \ \ \ \ \ 4\\16 \ \ \ \ \ 3\\[/tex]

To find:

mean, median, and modes=?

Solution:

[tex]\bold{x \ \ \ \ \ \ f \ \ \ \ \ \ cf \ \ \ \ \ \ fx} \\\\2\ \ \ \ \ 10 \ \ \ \ \ 10 \ \ \ \ \ 20 \\3\ \ \ \ \ 9 \ \ \ \ \ 19 \ \ \ \ \ 27 \\9 \ \ \ \ \ 10\ \ \ \ \ 29 \ \ \ \ \ 90 \\11\ \ \ \ \ 7\ \ \ \ \ 36 \ \ \ \ 77 \\12 \ \ \ \ \ 3\ \ \ \ \ 39 \ \ \ \ 36\\15 \ \ \ \ \ 4\ \ \ \ \ 43 \ \ \ \ 60\\16 \ \ \ \ \ 3\ \ \ \ \ 46 \ \ \ \ 48 \\[/tex]

[tex]\Sigma f = 46 \ \ \ \ \ \ \ \ \ \ \Sigma fx= 358[/tex]

Calculating the Mean:

[tex]Mean=\frac{\Sigma fx}{\Sigma f}[/tex]

          [tex]=\frac{358}{46}\\\\= 7.78[/tex]

Calculating the Median:

[tex]n= \Sigma f= 46[/tex]

[tex]Median=\frac{ (\frac{n}{2})^{th} +(\frac{n}{2} +1)^{th}}{ 2}[/tex]

             [tex]=\frac{ (\frac{46}{2})^{th} +(\frac{46}{2} +1)^{th}}{ 2}\\\\=\frac{ (23)^{th} +(24)^{th}}{ 2}\\\\=\frac{ 3 +3}{ 2}\\\\=\frac{ 6}{ 2}\\\\=3[/tex]

Calculating the Mode:

Mode is the value of 'x' with the highest frequency is 10 for x= 2 and x=9 therefore, the mode is "2,9".

Learn more:

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Answer:

9

Step-by-step explanation:

I divided 45 by 5 and got 9

Answer:

9

Step-by-step explanation:

45 divided by 5 means, split 45 into 5 groups. Which should get you 9 cars per day.

Answer:

hello, there.

Step-by-step explanation:

General kanobi

Answer:

No it is not proportional

Step-by-step explanation:

You cant multiply each of the inputs by a constant number to get the output.

There is only 2 of them that you can, but the other 2 no. And you want he whole table so you need all of the inputs not just some. So no, its not proportional.

Hope this helped!

Answer:

95% of confidence intervals are

(197.706 , 198.294)

Step-by-step explanation:

Explanation:-

Given sample size 'n'=100

Mean of the sample  x⁻ = 198

The standard deviation of the Americans =15

95% of confidence intervals are determined by

            [tex](x^{-} - Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} })[/tex]

Level of significance = 0.05

Z₀.₀₅ = 1.96

        =   [tex](198 - 1.96 \frac{15}{\sqrt{100} } , 198 +1.96\frac{15}{\sqrt{100} })[/tex]

       =  ( 198 -0.294 ,198 +0.294)

       = (197.706 , 198.294)

95% of confidence intervals are

(197.706 , 198.294)

[tex]f(x) = {x}^{2} - 3x + 4 \\ \frac{d}{dx} ( {x}^{2} - 3x + 4) \\ g(x) = 2x - 3[/tex]

Let g(x) = f'(x)

Substitute a in x, therefore the answer is.

[tex]g(a) = 2a - 3[/tex]

— Note that it'd be better to use f'(a) or y' instead. For this one, I let g(x) equal the derivative of f(x) —

Answer:look at the picture below

Step-by-step explanation:

Answer:

what is value of f in given function

Answer:

116,031 about

Step-by-step explanation:

Answer:

20,211

Step-by-step explanation:

Use the correct order of operations, and do one step at a time.

12 x 12/12 x 12 x 12 x 12 - 777 + 21 x 12 x 12/12 =

= 144/12 x 12 x 12 x 12 - 777 + 252 x 12/12

= 12 x 12 x 12 x 12 - 777 + 3024/12

= 144 x 12 x 12 - 777 + 252

= 1728 x 12 - 777 + 252

= 20,736 - 777 + 252

= 19,959 + 252

= 20,211

Answer:

The probability of the outcome being an A is 1/2.

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.

---------------------------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.

---------------------------------------------

The probability of the outcome being an A is:

[tex]p = \frac{4}{8} = \frac{1}{2}[/tex]

Thus:

[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.

A similar problem is found at https://brainly.com/question/16069806

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Answer:

The sum of the areas of square N and square L is equal to the area of square K

Find the difference in elevations:

8720 - 6350 = 2370 feet.

Difference in mile markers: 12-7 = 5

Average change = feet / markers

2370/5 = 474

The answer is 474 feet

Answer:

correct answer is a

Step-by-step explanation:

its a function as long as every input has one output, 1 output can have any number of inputs

i choose d mb  i got it wrong

Answer:

32 degrees

Step-by-step explanation:

One straight line equals 180 degrees

if one angle from one side is 148, then 180-148=32

Answer:

keeping an eye on graph

Step-by-step explanation:

its answer will be

total price for 12.5 pound of rice=$32.5

Search that question on brainless and you’ll for sure find yourself an answer.

Answer:

84 cars

Step-by-step explanation:

30% are blue, which means (100-30=70) 70% are not blue

(70/100)×120= 84

hence, 84 cars are not blue

hope it helps!!!!

Answer:

x=33

Step-by-step explanation:

The angles have to add up to 180, so you get:

2x - 18 + 4x = 180

6x = 180 + 18

x = 198/6

x = 33

Answer:a) 20%

Step-by-step explanation: 2× 100/ 8+2

Answer:

20%

Step-by-step explanation:

girls are 80% just so you know

Question Completion:

Note: This is a Law question, not Mathematics.

Answer:

Decision:

Edwards and Davis are not personally liable for the debts of EEE, Inc.

Step-by-step explanation:

That Edwin Edwards and Karen Davis owned EEE Inc. does not force them to be personally liable for the debts of EEE Inc.  EEE Inc. is a separate legal entity.  There is the legal separation of ownership and the liabilities of Edwards and Davis are limited to the capital they contributed or undertook to contribute to the corporation.  The corporate veil is only lifted when it is ascertained that EEE Inc. was not run as a legal entity separate from the owners.  We can also conclude that there is no evidence of abuse of the corporate form of EEE Inc. with comingling of assets or for the purpose of promoting fraud or injustice or evasion of tort or contractual responsibility on the part of Edwards and Davis.  Therefore, Edwin Edwards and Karen Davis are not personally liable for the debts of EEE Inc. as claimed by Reid Ellis.

Answer:

they love each other

Step-by-step explanation:

...........

Answer:

with what?

Step-by-step explanation:

Answer:

The value of the limit is 12.

Step-by-step explanation:

Small typing mistake, the limit is of h tending to 0.

Then

Calling the limit L

h is the common term in the numerator, then

Simplifying by h

Since h tends to 0.

Because of some theory with angles on same sides of a line between parallel lines, take 180 and subtract the ones you have. 180-107=73 degrees= m angle B

180-46=134 degrees - m angle A

Answer:

8πcm²/sec

Step-by-step explanation:

The radius of the circle increases at a rate of dr/dt = 0.25cm/sec

The radius of the circle r = 16cm

The area of the circle increases at a rate of dA/dt = ?

Area of a circle = πr²

We take the derivative with respect to t

dA/dt = 2πrdr/dt

dA/dt = 2 π (16)(0.25)

dA/dt = 8πcm²/sec

Thank you!!!

Answer:

8pi cm^2/sec

Step-by-step explanation:

took the unit test, also give other person brainliest, their answer was REALLY good.

Answer:

x1=3     x2=-4

Step-by-step explanation

The value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.1

It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.

The determinant in arithmetic is a real number that is a variable of the rows and columns of a square matrix. It lets specifying a few aspects of the matrix and the linear map that the matrix provides.

It is given that:

[tex]\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\\end{array} \right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}3x_1+2x_2\\5x_1+5x_2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]

On comparing:

3x₁ + 2x₂ = 2

5x₁ + 5x₂ = -3

The above two equations represent linear equations in two variables:

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

After solving with substituion method:

x₁ = 3.2

x₂ = -3.8

Thus, the value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.

Learn more about the matrix here:

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Answer:

b,0,1

Step-by-step explanation: