what is the mode for the data set
x
x x x
x x x x x x
_______ __
5 6 7 8 9 10 options 7.8
5
8
9

9514 1404 393

Answer:

  D.  600

Step-by-step explanation:

On a number line, positive numbers increase to the right. 600 to the right would be considered to be +600, choice D.

The original table (attached to this response) shows single values as classes.

To construct a new frequency distribution for this data with 4 classes, follow these steps:

i. Starting from the least value (which is 10) create groups each of 4 values. For example, the first group will contain 10, 11, 12 and 13. Therefore, we have a class of 10 - 13.

The second group will contain 14, 15, 16 and 17. Therefore, we have a class of 14 - 17

The third group will contain 18, 19, 20 and 21. Therefore, we have a class of 18 - 21

ii. Get the frequency of these classes, we add the frequencies of the members of the class.

For example,

Class 10 - 13 will have a frequency of (1 + 3 + 7 + 18) = 29

Class 14 - 17 will have a frequency of (10 + 4 + 2 + 7) = 23

Class 18 - 21 will have a frequency of (16 + 10 + 6 + 2) = 34

The new table has been attached to this response.

Answer:

Step-by-step explanation:

In the simplest way, the domain of a function is basically all of the possible values of the input variable or x-axis in a graph. While the range of a function would be all of the real possible outputs that the function can create. In a graph this would be all of the possible values for the y-axis. For example, in the following function...

y = 4x + 3

The domain of this function would be any and all values for x, while the range of the function would be any and all values that the function can output for y.

Answer:

y = 8/5x

Step-by-step explanation:

I'm assuming that they're asking for the equation in point-slope form.

The formula is y=mx+b where:

m = slope

b = y intercept

However, the y intercept is just (0,0) so b = 0

To find the slope we already have 2 given points: (0,0) and (5,8)

To find slope you do rise/run and you get 8/5

Substitute the slope & y intercept in the formula:

y = 8/5x

Let me know if I'm wrong!!

Answer:

y=8/5x

Step-by-step explanation:

Hi there!

We need to find the equation of the line that passes through (5,8) and the origin (the point (0,0)).

There are 3 ways to write the equation of the line, although the most common way is slope-intercept form, or y=mx+b where m is the slope and b is the y intercept

first, let's find m (slope)

The formula for the slope calculated from two points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points

we have two points, but let's label their values to avoid any confusion

[tex]x_{1}[/tex]=5

[tex]y_{1}[/tex]=8

[tex]x_{2}[/tex]=0

[tex]y_{2}[/tex]=0

now substitute into the formula

m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m=[tex]\frac{0-8}{0-5}[/tex]

multiply

m=[tex]\frac{-8}{-5}[/tex]

divide

m=8/5

The slope of the line is 8/5

here's the equation so far

y=8/5x+b

now we need to find b

as the point will pass through both (5,8) and (0,0) we can use either one of them to solve for b

let's take (0,0) as an example

substitute 0 as x and 0 as y

0=8/5(0)+b

multiply

0=0+b

add

0=b

substitute 0 as b into the equation

Therefore the equation of the line is:

y=8/5x (the 0 is not necessary)

Hope this helps! :)

Answer:

x=50

Step-by-step explanation:

The solution to the equation x – 25 = 25 is x = 50. The axiom used to solve the equation is the addition property of equality.

To solve the equation x - 25 = 25, we want to isolate the variable x to find its value.

Adding 25 to both sides of the equation, we get:

x - 25 + 25 = 25 + 25

Simplifying, we have:

x = 50

Therefore, the solution to the equation is x = 50.

In this case, the axiom used to solve the equation is the addition property of equality. According to this axiom, if two expressions are equal, adding the same value to both sides of the equation preserves the equality.

In the given equation, we add 25 to both sides of the equation to maintain equality and obtain the solution x = 50. The addition property of equality allows us to perform this operation and determine the value of x.

To learn more about axioms click on,

https://brainly.com/question/33725824

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Answer:

The slope is 1/2 because for every y value that it goes down, the x value goes down by 2. The y-intercept is 4 because when x is 0, y is equal to 4.

Answer:

Explained below

Step-by-step explanation:

A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.

B) If in a data set, if there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.

Also, if the curve is inclined to the left, it means there are few extreme values to the left and it is negatively skewed.

Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.

C) Example of a research question is;

If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data is positively skewed.

Answer:

[tex]x = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]y = -x^2 + x + 3[/tex]

Required

The line of symmetry

This is calculated using:

[tex]x= -\frac{b}{2a}[/tex]

Where:

[tex]y = ax^2 + bx + c[/tex]

So, by comparison:

[tex]a = -1[/tex]      [tex]b = 1[/tex]    [tex]c = 3[/tex]

So, we have:

[tex]x = -\frac{1}{2 * -1}[/tex]

[tex]x = -\frac{1}{-2}[/tex]

[tex]x = \frac{1}{2}[/tex]

1/2 is correct, the formula to use is x= - b/2a :)

Answer: first one is x≥-8 second one is x<6

Step-by-step explanation: for the first one you divide both sides by 7 and the second won do the same except divide by 9 on each side

Hello,

7x ≥ -56

⇔ 7x / 7 ≥ -56 / 7

⇔ x ≥ -8

S = [-8 ; +∞[

9x < 54

⇔ 9x / 9 < 54 / 9

⇔ x < 6

S = ]-∞ ; 6]

:-)

Answer:

6 hours to 1 book

Step-by-step explanation:

Which is a unit rate?

4 dollars to 3 cans

5 students to 2 teachers

6 hours to 1 book

3 miles to 2 days

A unit rate is a rate of a number to 1. The second number must be 1. The only unit rate is 6 hours to 1 book.

Answer: 6 hours to 1 book

The coordinates of the image after a dilation by scale factor -1/3 with center (-1, 2) are (0, 2), (0, 4), and (-1, 4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of -1/3 centered at the point (-1, 2) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate A, we have;

Coordinate A = (-4, 2)  →  (-1/3(-4 - (-1)) + (-1), -1/3(2 - 2) + 2)

Coordinate A = (-4, 2)  →  (-1/3(-4 + 1) - 1, -1/3(2 - 2) + 2)

Coordinate A' = (1, 1)  →  (0, 2)

For coordinate B, we have;

Coordinate B = (-4, -4)  →  (-1/3(-4 - (-1)) + (-1), -1/3(-4 - 2) + 2)

Coordinate B = (-4, -4)  →  (-1/3(-4 + 1) - 1, -1/3(-4 - 2) + 2)

Coordinate B' = (1, 1)  →  (0, 4)

For coordinate C, we have;

Coordinate C = (-1, -4)  →  (-1/3(-1 - (-1)) + (-1), -1/3(-4 - 2) + 2)

Coordinate C = (-1, -4)  →  (-1/3(-1 + 1) - 1, -1/3(-4 - 2) + 2)

Coordinate C' = (1, 1)  →  (-1, 4).

Read more on dilation here: brainly.com/question/20482938

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Answer:

B

Step-by-step explanation:

Use a graphing calculator like desmos and youll find the answer

Answer:

$4.60

Step-by-step explanation:

1 lb ---> 80 cents

5 3/4 lb ---> 5 3/4 * 80 cents

[tex] 5 \dfrac{3}{4} \times 80 = [/tex]

[tex] = \dfrac{23}{4} \times \dfrac{80}{1} [/tex]

[tex] = \dfrac{23 \times 80}{4 \times 1} [/tex]

[tex] = \dfrac{1840}{4} [/tex]

[tex] = 460 [/tex]

460 cents = $4.60

Answer:

5

Step-by-step explanation:

(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i

distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.

(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i

and since we are looking for a distance, we are looking for the absolute value of that subtraction.

after all, we could have done the subtraction also in the other direction

(5 + i) - (9 - 2i) = -4 + 3i

and this must be the same distance.

|(-4 + 3i)| = |(4 - 3i)|

and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.

|(a +bi)| = sqrt(a² + b²)

in our case here

distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5

as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :

sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5

Answer:

g(2) = -42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \left \{ {{g(1) = 50} \atop {g(n) = 8 - g(n - 1)}} \right.[/tex]

Step 2: Evaluate

Answer:

3sqaure root 100/5

Step-by-step explanation:

It would look like this picture Below

Answer:

x  =  76    y  =  112     z (max)  =  2104 $

Step-by-step explanation:

                               legs    rockers    short dowels     long dowels  Profit $

Model His (x)           4           2                   4                          8                10

Model Her (y)           4          2                    8                          4                12

Availability             900      400              1200                    1056

From the table above we find z

Objective Function z :

z  =  10*x  +  12*y    to maximize

Subject to

Constraint  1  quantity of legs available: 900

4*x +4*y ≤ 900

Constraint  2  quantity of rockers available:  400

2*x +  2*y  ≤ 400

Constraint  3  quantity of short dowels available: 1200

4*x  8*y  ≤  1200

Constraint  4  quantity of long dowels available: 1056

8*x  +  4*y  ≤ 1056

Constraint 5 condition between  x  and y

x  ≥  0.5*y

The model:

z  =  10*x  +  12*y    to maximize

Subject to:

4*x +4*y ≤ 900

2*x +  2*y  ≤ 400

4*x  8*y  ≤  1200

8*x  +  4*y  ≤ 1056

x  ≥  0.5*y        or    x  - 0.5*y ≥ 0

General constraints:

x  ≥ 0   y  ≥ 0  both integers

After 6 iterations with AtomZmath on-line solver optimal solution is:

x  =  76    y  =  112     z (max)  =  2104 $

Answer:

[tex]=0[/tex]

Step-by-step explanation:

Given:

[tex]4x-3(2x-y)[/tex]

Let's substitute for y

[tex]4x-3(2x-4)=0[/tex]

Let's distribute the parenthesis

[tex]4x-6x+12=0[/tex]

Combine like terms

[tex]-2x+12=0[/tex]

Subtract 12 from both sides

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

divide both sides by -2

[tex]x=6[/tex]

Now let's insert 6 for the [tex]x[/tex] and 4 for the [tex]y\\[/tex]

[tex]24-3(12-4)=[/tex]

[tex]24-3(8)=[/tex]

[tex]24-24=0[/tex]

Hope this helps

Answer: The x = -1

Step-by-step explanation:    I just looked it up on line.

Answer:

-99

Step-by-step explanation:

Log(x-1)²=2

Log(x-1)²=Log(100)

(x-1)²=100

x-1=10 and x-1=-10

x₁=11     and x₂=-9

x₁ × x₂ = 11 × (-9) = -99

Câu trả lời:

0,0584

Giải thích từng bước:

Câu hỏi đưa ra đáp ứng điều kiện cần thiết cho phân phối xác suất nhị thức:

Số câu hỏi, số lần thử, n = 10

Xác suất, p = 1 / số lựa chọn = 1/4 = 0,25

q = 1 - p = 1 - 0,25 = 0,75

Tính xác suất để sinh viên đó được 5 điểm, x = 5;

Gợi lại:

P (x = x) = nCx * p ^ x * q ^ (n-x)

P (x = 5) = 10C5 * 0,25 ^ 5 * 0,75 ^ 5

P (x = 5) = 252 * 0,25 ^ 5 * 0,75 ^ 5

P (x = 5) = 0,0584

Answer:

Step-by-step explanation:

Answer: on the outside its 2y^3z^4 with the inside being 2

Step-by-step explanation:

The expression equals 2y^3z^4sqrt2

Answer:

2 square root 2 y^3 z^4 ( SEE IMAGE BELOW)

Step-by-step explanation:

Simplify the radical expression

2 square root 2 y^3 z^4

reduce the index of the radicel and expondent with 2

2 square root 2 y^3 z^4

Answer:

y= - 1/2 x-2 ( SEE IMAGE BELOW)

Step-by-step explanation:

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

How do you write

x+2y=4

into slope intercept form?

Answer is:

y=−12x+2

Step-by-step explanation:

Slope intercept form can be represented as

y=mx+b

To get an equation into this form, we should try to get y all alone.

So then from x+2y=4

first, we can subtract x from both sidesand get 2y=−x+4

then, we can divide both sides by 2 to get it in slope intercept form

y=−12x+2

I think is like this. Hope it helps>3

Answer:

where is the photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.883=1/0.836=1.133

The measure of ∠CAB is 31⁰​.

Given that,

Circle O has diameter AB and chord AC.

We have to determine,

The measure of ∠CAB if BC is 62⁰​.

According to the question,

The measurement of the required angle by using circle properties following all the steps given below.

The measure of the BC is 62 degrees.

If the circle has diameter AB and chord AC,

Then,

By the property of the circle,

[tex]\rm m\angle CAB = \dfrac{1}{2} \times BC \\[/tex]

Substitute the value of the BC in the equation,

[tex]m\angle CAB = \dfrac{1}{2} \times BC \\\\ m\angle CAB = \dfrac{1}{2} \times 62 \\\\ m\angle CAB = 31 \ degree \\\\[/tex]

Hence, The measure of ∠CAB is 31⁰​.

For more details refer to the link given below.

https://brainly.com/question/1319201

Answer:

The missing angle is 120

Step-by-step explanation:

Given

See attachment

Required

The missing angle (?)

Let the missing angle be x

So:

[tex]x + 60 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]x = 180-60[/tex]

[tex]x = 120[/tex]

Step-by-step explanation:

The radius r is 5 in (r = D/2). so the volume V of the beach ball is

[tex]V= \dfrac{4 \pi}{3}r^3 = \dfrac{4 \pi}{3}(5\:\text{in})^3[/tex]

[tex]\:\:\:\:\:= 523.6\:\text{in}^3[/tex]

Answer:

[tex]P(Y=0) = 0.1353[/tex]

Step-by-step explanation:

From the question we are told that:

Exponential distribution mean [tex]\=x = 5 miles[/tex]

Distance [tex]d=10miles[/tex]

Generally the equation for Exponential distribution is mathematically given by

 [tex]\lambda=\frac{1}{E(X)}[/tex]

 [tex]\lambda=\frac{1}{5}[/tex]

Therefore

Possion Y

 [tex]10\lambda=10*(1/5)[/tex]

 [tex]10\lambda=2[/tex]

Generally the equation for  The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by

 [tex]P(Y=0) = \frac{e-2 (2)0}{0!}[/tex]

 [tex]P(Y=0) = e-2[/tex]

 [tex]P(Y=0) = 0.1353[/tex]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

We have to find the interval in which the function is less than zero or negative.

Value of the function are along the y-axis and negative value of the function means negative side of the y-axis.

In the graph, function is below the x-axis in the interval x > 4 and x = 6 only.

Therefore, in the interval (4, 6] function f(x) < 0.

Option (4) is the correct option.

Given:

A line passes through the points (-3,7) and (9,-5).

To find:

The equation of the line in the form of [tex]y=mx+b[/tex].

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:

[tex]y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))[/tex]

[tex]y-7=\dfrac{-5-7}{9+3}(x+3)[/tex]

[tex]y-7=\dfrac{-12}{12}(x+3)[/tex]

[tex]y-7=-1(x+3)[/tex]

On further simplification, we get

[tex]y-7=-x-3[/tex]

[tex]y-7+7=-x-3+7[/tex]

[tex]y=-x+4[/tex]

Therefore, the equation of the required line is [tex]y=-x+4[/tex].