Jackson conducted a survey at his school about its students' favorite
sport. He chose a name at random from a list of all the students in the
school, and chose every 10th student after that for the sample.. Was this
a random sample, and if so, which sampling method did Jackson use?
OA) Yes, simple random sample.
O B) Yes, systematic random sample.
OC) Yes, stratified random sample.
OD) No, it was not a random sample.

The value of c/b when the quadratic equation x² + 1300x + 1300 is written in the form (x + b)² + c, b and c being constants is -648.

The given quadratic expression needs to be expressed using the perfect square method to be of the form (x + b)² + c.

We express the quadratic expression x² + 1300x + 1300 using the perfect square method following these steps:

x² + 1300x + 1300

= x² + 2x(1300/2) + (1300/2)² + 1300 - (1300/2)²

= x² + 2x(650) + (650)² + 1300 - (650)²

= (x + 650)² + 1300 - 422500

= (x + 650)² - 421200.

Comparing this to (x + b)² + c, we get:

b = 650, and c = -421200.

Therefore, the value of c/b = (-421200)/650 = -648.

Therefore, the value of c/b when the quadratic equation x² + 1300x + 1300 is written in the form (x + b)² + c, b and c being constants is -648.

The question seems improper. The proper question is:

" The quadratic x^2+1300x+1300 can be written in the form (x + b)^2+c, where b and c are constants. What is c/b?"

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The probability that both of them have landed 5 is 1/7.

Two fair dice have been tossed,

The total of their top faces is found to be divisible by 5,

Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is expressed as a number between 1 and 0.

The probability that both of them have landed 5 is

E={(x,y)|x+y=5 or x+y=10, 1≤x,y≤6},

F={(5,5)}.

P(F|E)= 1/7.

Hence, The probability that both of them have landed 5 is 1/7.

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The width that must meet a right angle is 14.87 cm

The given parameters are:

The width is calculated using the following Pythagoras theorem.

Width^2 = Diagonal^2 - Length^2

So, we have:

Width^2 = 18.2^2 - 10.5^2

Evaluate

Width^2 = 220.99

Take the square root of both sides

Width = 14.87

Hence, the width that must meet a right angle is 14.87 cm

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Answer:

Y = 5x + 25

Step-by-step explanation:

$25 is the constant, meaning regardless of the time he spends, he will not pay more or less.

However, he pays 5 dollars for every hours (x) = 5x

The volume of the sphere is 2308.4 mm³

From the question, we are to determine the volume of the sphere

The volume of a sphere is given by the formula

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

Where V is the volume

and r is the radius

From the given information,

Diameter, d, of the sphere = 16.4 mm

r = 16.4/2

r = 8.2 mm

∴ [tex]V=\frac{4}{3}\times 3.14 \times 8.2^{3}[/tex]

V = 2308.394

V ≅ 2308.4 mm³

Hence, the volume of the sphere is 2308.4 mm³

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Answer:

x = 77/100

Step-by-step explanation:

When you solve this equation: 1.68+ 12x = 10.92

The answer is x = 77/100

The cost of each bottle of juice will be $0.77.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Adrian brought snacks for his team's practice. He bought a bag of apples for $1.68 and a 12-pack of juice bottles. The total cost before tax was $10.92.

From the given data the expression will be formed as below:-

1.68+ 12x = 10.92

12x = 10.92 - 1.68

12x = 9.24

x =9.24 / 12

x = $0.77

Therefore, the cost of each bottle of juice will be $0.77.

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Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

First off, let's write the line in point-slope form:

  [tex]\rm \hookrightarrow (y-y_0)=m(x-x_0)[/tex]

Let's calculate the slope:

 [tex]\rm \hookrightarrow Slope = \frac{y_2-y_1}{x_2-x_1}[/tex]

                 [tex]\rm \hookrightarrow slope = \frac{-3--6}{2--2} =\frac{3}{4}[/tex]

Now that we found the slope, let's put it into the point-slope form

  ⇒ we need (x₀, y₀) ⇒ let's use (2,-3)

     [tex](y-(-3))=\frac{3}{4} (x-2)\\y+3=\frac{3}{4} (x-2)[/tex]

The equation, however, could also be put into 'slope-intercept form'

     ⇒ gotten by isolating the 'y' variable to the left

          [tex]y = \frac{3}{4}x-\frac{9}{2}[/tex]  

Answer:[tex]y = \frac{3}{4}x-\frac{9}{2}[/tex] or [tex]y+3=\frac{3}{4} (x-2)[/tex]

   *Either equations work, put the one that you are the most familiar with

Hope that helps!

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The surface area of the composite figure shown in the image is 952 ft²

An equation is an expression that shows the relationship between two or more variables and numbers.

Surface area of composite is the sum of the individual areas of the surface.

Hence:

Surface area of composite = 2(14 * 9) + 2(0.5 * 10 * 8) + 2(10 * 10) + 2(10 * 14) + (10 * 14) = 952 ft²

The surface area of the composite figure shown in the image is 952 ft²

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Answer:

a = -5/3

Step-by-step explanation:

3/a × -4 = 20

3a × -4/-4 = 20/-4

3a = -5

a = -5/3

Check:

3/(-5/3) × - 4 = 20

-5 × - 4 = 20

The value of x will be equal to 6 units.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

Given that the radius of the circle is 9 which is SO= 9 and SG = 9.

Now the value of x will be calculated by using the Pythagorean theorem.

H² = P ² + B ²

OG² = 12² + 9 ²

OG = √225

OG = 15

Since, OG = OH + HG

HG = OG - OH

x  = 15 - 9

x = 6 units

Therefore the value of x will be equal to 6 units.

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The value of DF = 20.

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given:

Using theorem

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

ΔSDF/Δ RTY = (SD/RT)= (DF/TY)=  (FS/ YR)

ar ΔSDF² / ar  ΔRTY² = 16/81

SD/ RT = 4/9

SD = 4x,  RT= 9x

SD= 8

4x = 8

x = 2

So,

RT=  9*2 = 18

SF = RT -2

SF = 16

(SD/RT)= (FS/ YR)

8 / 18 = 16/ YR

YR= 36

TY= 9 +RY = 45

(DF/TY)=  (FS/ YR)

DF / 45= 16/ 36

DF=20

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Answer:

C. 0≤x≤7

Step-by-step explanation:

It is not choice D. because it has y instead of x. It is supposed to be x because it is asking for domain.

Hope this helps!

Answer:

9

Step-by-step explanation:

Because line PQ and line PR are both tangent to circle S, it would result in them being equal. So first to find PQ, you would have to find the value of variable x. To do this you would set both equations equal to each other and solve

6x - 9 = 2x + 3

-2x       -2x

4x - 9 = 3

    +9   +9

4x = 12

x = 3

Now you have to substitute 3 back into the equation for PQ:

6(3) - 9

18 - 9

= 9

Resulting in PQ = 9, to check your answer, take the value of x (3) and substitute it into PR and you should also get 9

2(3) + 3

6 + 3

= 9

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What is the formula for finding slope?}[/tex]

[tex]\mathbf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}[/tex]

[tex]\huge\textbf{Often people understand it better by:}[/tex]

[tex]\mathbf{\dfrac{rise}{run} = slope}[/tex]

[tex]\huge\textbf{Answering the given question:}[/tex]

[tex]\mathbf{y_2 \rightarrow 4}\\\\\mathbf{y_1 \rightarrow 7}\\\\\mathbf{x_2\rightarrow 0}\\\\\mathbf{x_1 \rightarrow -1}[/tex]

[tex]\huge\textbf{Now, that we have that information out}\\\huge\textbf{the way, we can answer the question.}[/tex]

[tex]\huge\textbf{Solving for the answer:}[/tex]

[tex]\mathbf{\dfrac{4 - 7}{0 - (-1)} = slope}[/tex]

[tex]\mathbf{\rightarrow \dfrac{4 - 7}{0 + 1} = slope}[/tex]

[tex]\mathbf{\rightarrow \dfrac{-3}{1} = slope}[/tex]

[tex]\mathbf{-3\div 1 = slope}[/tex]

[tex]\mathbf{\rightarrow -3 = slope}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\textsf{S}\frak{lope \rightarrow -3}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The correct theorem or definition that justifies the given statement for the diagram is; Definition of a Right angle Triangle

We are given that;

∠MRS ≅ ∠MRO

Now, what that means is that ∠MRS is congruent to ∠MRO. Thus, to understand this concept of equality or congruence, we can prove it since  from the given image, we see that;

m∠MRS = m∠MRO = 90°

Since they are both right angles then we can say that the correct theorem is the definition of a right angle triangle.

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The smallest of the even integers is 8.

It is a well-known fact that the sum of the first n odd numbers is n^2. This makes the sum of the first 8 odd numbers equal to 64.

Let n be equal to the smallest of the 5 even integers. Then (n+2) is the next highest, (n+4) even higher, and so on.

This sets up the equation n+(n+2)+(n+4)+(n+6)+(n+8)+4=64

Now we solve:

5n+24 = 64

5n = 40

n = 8

The smallest of the even integers is 8.

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Answer:

Step-by-step explanation:

The z score for the number 7 is -0.92.

The standard deviation is 4.32

X is the score that is 7 given.

We have to calculate the z score for doing so we need the mean also.

Mean is obtained by dividing the sum of numbers / total frequency.

Mean = Summation of numbers / total numbers

= 5, 7, 9, 11, 13, 15, 17 / 7

= 77/7

= 11

Formula of z-score, Z= x - mean /S.D.

x is the number that is 7.

S D is the standard deviation.

Z= 7-11 / 4.32

= -4/4.32

Z score = -0.92

In data, the standard deviation is a degree of the quantity of version or dispersion of a fixed of values. A low fashionable deviation suggests that the values have a tendency to be near the suggest of the set, while a high widespread deviation shows that the values are spread out over a much broader range.

Standard deviation is vital because it is able to assist users check chance. Bear in mind a funding option with a median annual return of 10% in line with the year. However, this average changed into derived from the past three-year returns of 50%, -15%, and -5%. with the aid of calculating the same old deviation and understanding your low likelihood of really averaging 10% in any single given 12 months, you're better armed to make knowledgeable decisions and apprehend underlying risk.

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5400

4500 multiplied by 1.2

Answer:

The original price would be $5,625

Step-by-step explanation:

The formula to finding out the original price is -

OP = SP/1 - P

- OP = Original Price

- SP = Sale Price

- P = Percent Discount

Now just put in the respected values and you'll get -

OP = 4500/1 - 0.20

Now solve :D

OP = 4500/1 - 0.20

= 4500/0.8

= 5625

So the original price is $5,625

Hope this helped! :D

The predicted value of Y must be between 0 and 1.

A linear probability model (LPM) is a regression model where the outcome variable is a binary variable, and one or more explanatory variables are used to predict the outcome. Explanatory variables can themselves be binary, or continuous.

Suppose, that the linear probability model yields a predicted value of Y that is equal to 1.3.

This is nonsensical because

The predicted value of Y must be between 0 and 1.

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The value of the washing machine after 6 years with 20% depreciation every year is $78.64.

Depreciation is the practice of subtracting a business asset's cost over a number of years as opposed to just one.

Depreciation is used to adjust the cost of a productive asset with a longer-than-year-long useful life to the income generated by operating the asset. The expense of the asset is typically dispersed across the years that it is utilized.

Calculation for the asset value after depreciation of 20% every year.

The purchasing cost of washing machine is $300.

The rate after 6 years is-

Rate = purchased price×[tex](1-r)^{t}[/tex]

       = 300×[tex](1-0.2)^{6}[/tex]

       = 300×[tex]0.8^{6}[/tex]

       = 78.64

The cost of washing machine after 6 years will be $78.64.

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Answer:

hope it will help you to

hope it will help you

It would be y = ex - 4

As a suggestion, I would recommend using the desmos calculator online. It's an entirely free graphing calculator and helps with questions like this. I hope that helps!

9 and -4
7 and -2
5 and 0

Each and every pair has a total of 5.

Answer:

9 and-4

7 and -2

5 and 0

Step-by-step explanation:

When ya subtract 4 from 9 you get 5

the same applies to the rest.

The value of the side b and c will be 58.57 units and 36.86 units, and angle ∠B will be 107°.

Let the triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c.

Then by the sine law, we have

[tex]\rm \dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]

The sum of angles of triangle is 180°.

∠A + ∠B + ∠C = 180°

36° + ∠B + 37° = 180°

                  ∠B = 107°

Then the side b will be

sin 36° / 36 = sin 107° / b

                b = 58.57 units

Then the side c will be

sin 36° / 36 = sin 37° / c

                c = 36.86 units

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The graph of the inequality will be B. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

It can be deduced that the coordinates satisfy the equation of the line.

3y = 2x - 12

Divide through by 3.

y = 2/3x - 4.

The slope is 2/3.

In conclusion, the correct option is B.

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Answer:

b

Step-by-step explanation:

Answer:

x=5/6 but since you gave options in terms of y: -8y=6

Step-by-step explanation:

When you add equations together to solve for a systems of equations, it because you want to cancel out one of the values, and in this case it's the 6x, since the 6x + (-6x) = 0

Now all you need to do is add the -12 and 4y and you get -8y which is going to be the left side of the equation

Now add the -8 and 14 and you get 6 which is going to be the right side of the equation. This gives you the equation:

-8y = 6

Divide both sides by -8

y =  -0.75

Now plug this into either original equation but in this case I'll just use the -6x+4y=-8

Plug in -0.75 as y

-6x+4(-0.75) = -8

-6x-3=-8

-6x=-5

Divide both sides by -6

x=5/6