find the value of x and y that satisfies both the equaties x/y= 2/3 and y/24=3/4

Answers

Answer 1

Answer:[tex]\Large\boxed{x=12~;~y=18}[/tex]

Step-by-step explanation:

Given a system of equations

[tex]1)~\frac{x}{y} =\frac{2}{3}[/tex]

[tex]2)~\frac{y}{24} =\frac{3}{4}[/tex]

Multiply 24 on both sides of 2) equation to isolate y-value

[tex]\frac{y}{24}\times24 =\frac{3}{4}\times24[/tex]

[tex]\Large\boxed{y=18}[/tex]

Substitute the y-value into the 1) equation

[tex]\frac{x}{18} =\frac{2}{3}[/tex]

Multiply 18 on both sides of 1) equation to isolate y-value

[tex]\frac{x}{18}\times18 =\frac{2}{3}\times18[/tex]

[tex]\Large\boxed{x=12}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

Which of the following expressions is equivalent to ab² + 6ab + 7a3-14a?
(b + 7)(b + 6)(a²-2)
Ob(b + 6)+7(a²-2)
Oa[b(b + 6) +7(a²-2)]
a[(b + 7)(b + 6) (a²-2)]

Answers

Answer:

"a[b(b + 6) +7(a²-2)]" (the third one)

Step-by-step explanation:

Jenny packaged 108 eggs in 9 cartons. Write this statement as a ratio

Answers

I’ll answer in 3 different forms:

108:9

108/9 (simplest form = 12)

108 eggs to 9 cartons

I hope that this is what you were looking for!

Answer:

12:1

Step-by-step explanation:

each pack contains 12 eggs

108/9 = 12

Hope this helps

An art gallery wants to display 4 pieces of art in the front window. if there are 8 pieces to choose from, how many distinct displays are possible?

Answers

Answer:

70

Step-by-step explanation:

8 choose 4: 8!/(4!*4!)=70

Answer:

1680

Step-by-step explanation:

the order matters so 8P4

One day, thirteen babies are born at a hospital. assuming each baby has an equal chance of being a boy or girl, what is the probability that at most eleven of the thirteen babies are girls? a. 29/128 b. 743/1024 c. 4089/4096 d. 11/64

Answers

Using the binomial distribution, there exists a 0.9983 = 99.83% probability that at most eleven of the thirteen babies exists girls.

What is the binomial distribution formula?

The formula exists:

[tex]$&P(X=x)=C_{n, x} \cdot p^{x} \cdot(1-p)^{n-x} \\[/tex]

The parameters exists:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are: p = 0.5 and n = 13

The probability that at most eleven of the thirteen babies are girls is:

[tex]$P(X \leq 11)=1-P(X > 11)$$[/tex] then

[tex]$P(X > 11)=P(X=12)+P(X=13)$$[/tex]

By using the binomial distribution formula

[tex]$&P(X=x)=C_{n, x} \cdot p^{x} \cdot(1-p)^{n-x} \\[/tex]

substitute the values in the above equation, we get

[tex]$&P(X=12)=C_{13,12} \cdot(0.5)^{12} \cdot(0.5)^{1}=0.0016 \\[/tex]

[tex]$&P(X=13)=C_{13,13} \cdot(0.5)^{13} \cdot(0.5)^{0}=0.0001[/tex]

So, [tex]$&P(X > 11)=P(X=12)+P(X=13)[/tex]

[tex]=0.0016+0.0001=0.0017 \\[/tex]

[tex]$&P(X \leq 11)=1-P(X > 11)[/tex]

[tex]=1-0.0017=0.9983[/tex]

0.9983 = 99.83% probability that at most eleven of the thirteen babies exists girls.

Therefore, the correct answer is option c. 4089/4096

To learn more about the binomial distribution refer to: brainly.com/question/24863377

#SPJ4

Determine the slope of the line.

Answers

Answer:

2

Step-by-step explanation:

→ Find 2 points from the line

( 0 , 6 ) and ( - 3 , 0 )

→ Find the change in y coordinates

0 - 6 = -6

→ Find the change in x coordinates

-3 - 0 = -3

→ Divide the 2 results

-6 ÷ -3 = 2

Consider the quadratic function f(x)=x²-5x+12. Which statements are true about the function and its
graph? Select three options.

A. The value of f(-10) = 82
B. The graph of the function is a parabola.
C. The graph of the function opens down.
D. The graph contains the point (20,-8).
E. The graph contains the point (0, 0).

Answers

There is only one statement that is true: B. The graph of the function is a parabola.

How to study and interpret the characteristics of quadratic equations

In this question we have a quadratic equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:

Choice A:

If we know that x = - 10, then we evaluated it at the function:

f(- 10) = (- 10)² - 5 · (- 10) + 12

f(- 10) = 162

False

Choice B:

By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.

True

Choice C:

The quadratic function opens up as its leading coefficient is greater that 0.

False

Choice D:

If we know that x = 20, then we evaluate it at the function:

f(20) = 20² - 5 · (20) + 12

f(20) = 312

False

Choice E:

If we know that x = 0, then we evaluate it at the function:

f(0) = 0² - 5 · (0) + 12

f(0) = 12

There is only one statement that is true: B. The graph of the function is a parabola.

To learn more on quadratic equations: https://brainly.com/question/1863222

#SPJ1

NEED HELP SOLVING

has to be simplified

Answers

hey! the answer is…

3/2c^3-1/12c^2 -4-c^4-c

i also added a picture of how the answer should be written just in case you don’t understand what’s above!

Lucy started the proof of the law of cosines using triangle WXY as shown.
W
Z
X
Given: XZ WY, AWXZand AYXZare right triangles
z; y cos (W) = WZ
Step 1: cos (W) =
Step 2: sin (W) =
Step 3: ZY = x - y cos (W)
Step 4: w²= (z-y cos (W))² + XZ²
Which step contains the first error in calculation?
z; XZ sin (W) = y
OA Step 1- the cosine ratio was applied incorrectly
OB. Step 2 - the sine ratio was applied incorrectly
OC. Step 3- the incorrect value was subtracted
OD. Step 4- the area formula should have been used instead.
4

Answers

The step which contains the first error in calculation is: B. Step 2 - the sine ratio was applied incorrectly.

What is the law of sines?

The law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]

For any right-angled triangle, the ratio of the length of its opposite sides to the length of its hypotenuse is generally referred to as sine ratio. Thus, sine ratio is given by this formula:

cos(θ) = Opp/Hyp

Where:

Opp is the opposite side of a right-angled triangle.Hyp is the hypotenuse of a right-angled triangle.θ is the angle.

In this context, we can infer and logically deduce that the step which contains the first error in calculation is step 2:

sin(W) = y/XZ; XZsin(W) = y.

In conclusion, the correct step should have been written as follows:

sin(W) = XZ/y; ysin(W) = XZ.

Read more on law of sines here: https://brainly.com/question/27868305

#SPJ1

Answer:

step 2 is incorrect

Step-by-step explanation:

B. Step 2 - the sine ratio was applied incorrectly

A blueprint is 1 in: 12ft. Then width of a building is 48ft. What is the width of the building on the blueprint?

Answers

The width on the blueprint is 4 inches.

What is the width of the building on the blueprint?

The blueprint is a scale drawing of the building. A scale drawing is a reduced form in terms of dimensions of an original image / building / object

The scale of a drawing is usually written in this format - length in the drawing, a colon (:), then the matching length on the original image. An example of a scale is 1 inch 12 feet. This scale means that 1 inch of the blueprint represents 12 feet of the building.

Width of the building on the blueprint = 48 / 12 = 4 inches

To learn more about scale drawings, please check: https://brainly.com/question/26388230

#SPJ1

I need help with this
Example 1 Find 6 – 9. 6 – 9 = 6 + ( – 9) To subtract 9, add – 9. = – 3 Simplify

Answers

Answer:

Step-by-step explanation: This example is saying that adding a negative number is the same as subtracting a positive number. For example 2-3 = 2 + (-3).

Li Juan solves the equation below by first squaring both sides of the equation. [tex]\sqrt{3-2w}=w+6[/tex]
What extraneous solution does Li Juan obtain?

Answers

Answer:

w = -11

Step-by-step explanation:

[tex]\sqrt{3 - 2w} = w + 6[/tex]

[tex](\sqrt{3 - 2w})^2 = (w + 6)^2[/tex]

[tex] 3 - 2w = w^2 + 12w + 36 [/tex]

[tex] w^2 + 14w + 33 = 0 [/tex]

[tex] (w + 11)(w + 3) = 0 [/tex]

[tex] w + 11 = 0 [/tex]   or   [tex] w + 3 = 0 [/tex]

[tex] w = -11 [/tex]   or   [tex] w = -3 [/tex]

When you square both sides of an equation, you must check all solutions for extraneous solutions.

Check w = -11.

[tex]\sqrt{3 - 2w} = w + 6[/tex]

[tex] \sqrt{3 - 2(-11)} = -11 + 6 [/tex]

[tex] \sqrt{3 + 22} = -5 [/tex]

[tex] \sqrt{25} = -5 [/tex]

[tex] 5 = -5 [/tex]

This is a false statement, so the solution w = -11 is extraneous since it does not satisfy the original equation.

Check w = -3.

[tex]\sqrt{3 - 2w} = w + 6[/tex]

[tex] \sqrt{3 - 2(-3)} = -3 + 6 [/tex]

[tex] \sqrt{3 + 6} = 3 [/tex]

[tex] \sqrt{9} = 3 [/tex]

[tex] 3 = 3 [/tex]

This is a true statement, so the solution w = -3 is valid.

Answer: w = -11

20 PTS! Please Help!!!! Will Give Brainliest!! This is a Khan Academy Problem!!!
Find the approximate perimeter of pentagon ABCDE plotted below. A(0,7) B(6,0) C(3,-4) D(-3,-4) E(-6,0)

Answers

Using it's concept, the approximate perimeter of pentagon ABCDE is given as follows:

34.4 units.

What is the perimeter of a figure?

The perimeter of a figure is given by the sum of the lengths of it's outside dimensions.

In this problem, the vertices are in a coordinate-plane, hence the distances are found using the formula for the distance between two points.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of segment AB is:

[tex]AB = \sqrt{(6 - 0)^2+(0 - 7)^2} = 9.2[/tex]

The length of segment BC is:

[tex]BC = \sqrt{(6 - 3)^2+(0 + 4)^2} = 5[/tex]

The length of segment CD is:

[tex]CD = \sqrt{(-3 -3)^2+(-4 + 4)^2} = 6[/tex]

The length of segment DE is:

[tex]DE = \sqrt{(-6 + 3)^2+(0 + 4)^2} = 5[/tex]

The length of segment EA is:

[tex]EA = \sqrt{(-6 +0)^2+(0 - 7)^2} = 9.2[/tex]

Hence the perimeter is:

P = AB + BC + CD + DE + EA = 9.2 + 5 + 6 + 5 + 9.2 = 34.4 units.

More can be learned about the perimeter of a figure at https://brainly.com/question/18610622

#SPJ1

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Answers

Answer:

9/41

Step-by-step explanation:

Cosine represents adjacent / hypotenuse.

When A is the reference angle, AB is the adjacent side (9) and AC is the hypotenuse (41).

9/41 is already simplified.

Select the correct answer from each drop-down menu. B For circle O, m In the figure, 2 C CD T - 125° and m2ABC= 55°. and 2 have measures equal to 35°.​

Answers

Answer:

Step-by-step explanation:

The relevant relations here are ...

the sum of arc measures in a semicircle is 180°the sum of angles in a triangle is 180°

Arc measures

The given arc CD is part of the semicircular arc CDA. The remaining arc, DA, is the supplement of CD:

  arc DA = 180° -CD = 180° -125° = 55°

Central angle AOD has the same measure, 55°. That is one of the acute angles in right triangle AOB, so the other one is the complement of 55°.

 ∠ABO = 90° -∠AOB = 90° -55°

  ∠ABO = 35°

Triangle angles

In right triangle ABC, angle ABC is given as 55°. The other acute angle, ACB, will be the complement of this.

  ∠ACB = 90° -∠ABC = 90° -55°

  ∠ACB = 35°

In the figure, angles ABO and ACB have measures of 35°.


Find the area of this parallelogram. D(-3,4) c(3,4) a(-6,-4) b(0,-4)

Answers

If the vertices of parallelogram ABCD is A(-6,-4),B(0,-4),C(3,4),D(-3,4) ,then the area of parallelogram ABCD will be 48 square units.

Given that the vertices of parallelogram ABCD is A(-6,-4),B(0,-4)

,C(3,4),D(-3,4).

We are required to find the area of parallelogram ABCD.

Let the point of intersection of height of parallelogram from point A is point E.

When we see the graph on which the parallelogram then we will be able to know that point E has coordinates of (-3,-4).

Area of parallelogram=Base*Height

=AB*DE

DE=[tex]\sqrt{(-4-4)^{2} +(-3+3)^{2} }[/tex]

=[tex]\sqrt{64}[/tex]

=8 units

AB=[tex]\sqrt{(-4+4)^{2} +(0+6)^{2} }[/tex]

=[tex]\sqrt{36}[/tex]

=6 units

Area=6*8

=48 square units.

Hence if the vertices of parallelogram ABCD is A(-6,-4),B(0,-4),C(3,4),D(-3,4) ,then the area of parallelogram ABCD will be 48 square units.

Learn more about area at https://brainly.com/question/25965491

#SPJ1

Find the general solution of the given second-order differential equation. 12y'' − 5y' − 3y = 0

Answers

The general soultion of the given differential equation  12y'' − 5y' − 3y = 0 is

y = [tex]c_{1}e^{\frac{-1}{3}x } +c_{2}e^{\frac{3}{4} x}[/tex].

According to the given question.

We have a differential equation

[tex]12y^{"} -5y^{'} -3y = 0[/tex]

The above equation can be written as

[tex](12D^{2} -5D -3)y = 0[/tex]

The auxillary equation for the above differential equation is

[tex]12m^{2} -5m-3 = 0[/tex]

[tex]\implies 12m^{2} -9m+4m -3 = 0[/tex]

⇒ 3m(4m - 3) +1(4m - 3) = 0

⇒ (3m + 1)(4m -3) = 0

⇒ m = -1/3 or 3/4

Therefore,

[tex]C.f = c_{1}e^{\frac{-1}{3}x } +c_{2}e^{\frac{3}{4} x}[/tex]

Here, P.I = 0

As we know that the general solution of the differential equation is given by

y = PI + CF

Thereofre, the general soultion of the given differential equation  12y'' − 5y' − 3y = 0 is

y = [tex]c_{1}e^{\frac{-1}{3}x } +c_{2}e^{\frac{3}{4} x}[/tex].

Find out more information about general solution of the differential equation here:

https://brainly.com/question/4537000

#SPJ4

4. Emily's house has a chimney. What is the volume of her chimney?

4 in.

9 in.

12 in.

3 in.

4 in.

6 in. step by step pls i give brainliest and 80 points

Answers

Answer:

[tex] {216 \: in}^{3} [/tex]

Step-by-step explanation:

Split the chimney into 2 rectangular prisms. One is the short one, and the other is the tall one.

The dimensions of the short prism are 4 x 3 x 2. The volume of that prism is found by multiplying those numbers together, which is 24.

The dimensions of the tall prism are 4 x 4 x 12. The volume of that prism is 192.

Adding those 2 volumes together, you will get the volume of the composite figure. 192 + 24 = 216

Volume is always in cubic units

Solve:
8(3 + a) = 64
A =

Answers

Answer: 8

Step-by-step explanation:

PEMDAS

Profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 30x – 130. the cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. the variable x represents the number of skateboards sold.

Answers

Profit function in terms of x = 33x + 390.

What is a profit in business?

In its simplest form, it's the amount left after subtracting your total expenses from your total revenue. The money remaining, your profits, can either be kept in the business and re-invested to finance future growth, or distributed as a draw or dividends to stakeholders.

Given that revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial

[tex]2x^{3} + 30x - 130[/tex]

The cost, in dollars, of producing the skateboards can be modeled by

[tex]2x^{3} -3x - 520[/tex]

Profit function = Revenue - cost

                         = [tex]2x^{3} + 30x - 130 - ( 2x^{3} - 3x - 520)[/tex]

                          = 33x + 390

Therefore, profit function in terms of x = 33x + 390

Learn more about profit

brainly.com/question/13538701

#SPJ4

The measure of angle is 5. The equivalent measurement in degrees is... ​

Answers

Answer:

300 degrees

Step-by-step explanation:

pi should be 180 degrees so 5*180/3 = 5*60=300

prove that if all the altitude lengths are different in a triangle, then the triangle is scalene. (use indirect proof or contrapositive)

Answers

The term "altitude" is the same as "height of a triangle". It is perpendicular to the base. Since we can rotate the triangle to have any side be horizontal, there are effectively 3 possible bases. Hence, there are 3 heights. It all depends how you look at it.

Let h1, h2, and h3 be the three altitudes or heights.

Without loss of generality, we'll focus on the first two heights h1 and h2. Their respective bases are b1 and b2.

If we use b1 as the base, then the area is...

area = 0.5*base*height = 0.5*b1*h1

Similarly, the other base gives the area of:

area = 0.5*b2*h2

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

Since both formulas refer to the same area (because we're working with the same triangle), we can set the expressions equal to one another

0.5*b1*h1 = 0.5*b2*h2

b1*h1 = b2*h2

Let's see what happens when b1 = b2, so,

b1*h1 = b2*h2

b1*h1 = b1*h2

b1h1 - b1h2 = 0

b1(h1 - h2) = 0

b1 = 0 or h1 - h2 = 0

b1 = 0 or h1 = h2

If the bases b1 and b2 were equal, then either those bases must be 0 which isn't possible, or the altitudes must be equal. However, the initial premise is that the heights must be different from one another.

Therefore, the bases b1 and b2 can't be the same length.

We could follow the same steps and logic to conclude that if the altitudes h1 and h3 were different, then the bases b1 and b3 can't be the same. Similarly, we would conclude that b2 and b3 can't be the same. This is where the "without loss of generality" kicks in.

In other words, we only need to focus on one subcase to extend the logic to the other cases, without having to actually do every single step. That would be a bit tedious busywork.

In conclusion, we've shown that if the heights are different, then their respective bases must be different. This leads to wrapping up the proof that we have a scalene triangle.

Side note: I used an indirect proof or proof by contradiction. I assumed that a non-scalene triangle was possible and it led to a contradiction of h1 = h2.

1.) You go skiing on one route with an equation = 2 + 4 and then
immediately go to a route with an equation = 4 + 1. Which of the
following responses best describes your routes?
A: Your second route was steeper than your first, and the second route was higher up
the mountain.
B: Your first route was positive (uphill), but your second route was negative (downhill).
C: Your first route was steeper than your second, and both were positive (uphill).
D: Your first route was flatter than your second, and your first route began at a higher
point than your second

Answers

The best information that describes your routes is the second route was steeper than your first, and the second route was higher up the mountain.

What is the slope of a linear equation?

The slope of a linear equation is the change in the rise over the run. So, the slope of a linear equation shows that the larger the slope, the steeper the line becomes.

From the given information:

y = 2x + 4  --- (1)

y = 4x + 1  --- (2)

Using the slope-intercept formula:

y = mx + b

m = slopeb = y-intercept

From the first equation, the slope is 2 and in the second equation, the slope is 4.

Therefore, we can conclude that the second route was steeper than your first, and the second route was higher up the mountain.

Learn more about the slope of a linear equation here:

https://brainly.com/question/1884491

#SPJ1

Solve the given initial-value problem. y'' 4y' 5y = 35e−4x, y(0) = −5, y'(0) = 1

Answers

The solution for the initial value problem is [tex]y_{g} = e^{-2x} (-12cos(x) + 5sin(x)) + 7e^{-4x}[/tex]

Given,

y" + 4y' + 5y = 35[tex]e^{-4x}[/tex]

y(0) = -5

y'(0) = 1

Solve this homogenous equation to get [tex]y_{h}[/tex]

According to differential operator theorem,

[tex]y_{h}[/tex] = [tex]e^{ax}[/tex]( A cos (bx) + B sin (bx)), where A and B are constants.

Therefore,

y" + 4y' + 5y = 0

([tex]D^{2}[/tex] + 4D + 5)y = 0

D = -2± i    

[tex]y_{h} = e^{-2x} ( A cos (x) + B sin (x))[/tex]

Now, solve for [tex]y_{p}[/tex]

A function of the kind [tex]ce^{-4x}[/tex] is the function on the right, we are trying a solution of the form [tex]y_{p} =ce^{-4x}[/tex], here c is a constant.

[tex]y_{p} " + 4y_{p} ' + 5y_{p} = 35e^{-4x} \\=16ce^{-4x} -16ce^{-4x} +5ce^{-4x} = 35e^{-4x} \\= 5ce^{-4x} =35e^{-4x} \\c=\frac{35}{5} =7\\y_{p} =7e^{-4x}[/tex]

Then the general solution will be like:

[tex]y_{g} =y_{h} +y_{p} \\[/tex]

    = [tex]e^{-2x} (Acos(x)+Bsin(x))+7e^{-4x}[/tex]

[tex]y_{g}(0)=-5=A+7=-12\\y_{g} '(0)=e^{-2x} (-Asin(x)+Bcos(x))-2e^{-2x} (Acos(x)+Bsin(x))-28e^{-4x} \\y'_{g} (0)=1=B-2A-28\\[/tex]

       B = 1 - 24 + 28 = 5

Then the solution for the given initial value problem is

[tex]y_{g} =e^{-2x} (-12cos(x)+5sin(x))+7e^{-4x}[/tex]

Learn more about initial value problem here: https://brainly.com/question/8599681

#SPJ4

pls help ill give brainliest

a=
x=

Answers

Answer:

a = 12

x = 5.714

Step-by-step explanation:

sf = 15 / 9

20 / (15 / 9) = 12

a = 12

sf = 21 / 6

20 / (21 / 6)

x = 5.714

What is the solution to the system of equations?
y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6
x = –4

Answers

The solution to the system of equations y = 1/2x - 6, x = -4 is x = -4 and y = -8. (x, y) = (-4, -8)

Equation

There are different types of equation. Namely;

Linear equationQuadratic equationSimultaneous equation

y = 1/2x - 6

x = -4

Substitute x = -4 into

y = 1/2x - 6

y = 1/2(-4) - 6

= -4/2 - 6

= -2 - 6

y = -8

Therefore,

The solution to the system of equations y = 1/2x - 6, x = -4 is x = -4 and y = -8. (x, y) = (-4, -8)

Learn more about equation:

https://brainly.com/question/17723200

#SPJ1

HELP!!!!QUICK!!!!!!!!!!!

Answers

Answer:

= 5 7

Step-by-step explanation:

3 – 8 = – 5 + 4 – 5 = – 1 –1 – 6 = –7

= –5 – 7

Please help!! 100 points
The graph shows a system of inequalities.
Which point is a solution to the system
(-1,6)
(0,22)
(2,9)
(8,2)

Answers

Answer: (2,9)

Step-by-step explanation:

The point lies in the region that is shaded by both inequalities.

. Rashad is conducting an experiment at his high school to see how people feel about the school dress code. 1. Explain how Rashad could collect data to ensure that it is a random sample of the population. 2. Suppose Rashad has collected his data and has organized it in the table below. Create a visual plot of the data in the table by constructing a bar graph. 3. What is the average view of the dress code? How did you come to this conclusion? 4. The dress code will be changed if more than 60% of the school feels like a change is needed. If 40% of this majority agrees on the same change, that will be what is done with the dress code. Will the dress code change? Do we know which option will occur? Be sure to explain your reasoning.

Answers

Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population.

How should Rashad proceed with the random sampling?

Step 1: He should identify and decide which population he wants to study

Step 2: He should decide the size of the sample. He can do this using a sample size calculator.

Step 3: Select the Sample Randomly using:

Lottery technique; orRandom Number Technique.

It is to be noted that the lottery and Random Techniques can be manual or computer simulated.

The sample bar graph for the above sample is attached.

What is the average view of the dress code?

About 48 Students (boys and girls combined) indicated that the dress code is nice.13 said it wasn't nice6 on the average indicated that there were indifferent.

If 40% of this majority agrees on the same change, that will be what is done with the dress code, will the dress code change?

40% of 60% is not likely to catalyze a change in the needed change. A more proper percentage should be 90%.

Do we know which option will occur?

Based on the figures given, 72% of the students agree that the dress code is nice (that is , it requires not change).

This means that it is highly unlikely that any changes will be made to the dress code soon.

Learn more about sampling:
https://brainly.com/question/24466382
#SPJ1

5. Find the arc length on a circle with radius of 19 feet created by
an angle of 2(pie)/3radians.
19T
O
38
38T
O 19
O None of the above

Answers

**Disclaimer** Hi there! I am not fully sure what [ T ] represents. From the answer that I got [ 38π / 3 ], it does not match any one of them, so I choose none of the above. If there's a specific meaning of [ T ] and I am incorrect, please let me know and I will modify my answer.

Answer: None of above

Step-by-step explanation:

Given formula

S = r θ

S = arc lengthr = radiusθ = angle in radians

Given information

radius = 19 ft

Angle = 2π / 3

Substitute values into the formula

S = r θ

S = (19) (2π / 3)

Simplify by multiplication

[tex]\Large\boxed{S=\frac{38\pi}{3} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Two cars raced at a race track. the faster car traveled 20 mph faster than the slower car. in the time that the slower car traveled 165 miles, the faster car traveled 225 miles. if the speeds of the cars remained constant, how fast did the slower car travel during the race? distance (mi) rate (mph) time (h) slower car 165 r startfraction 165 over r endfraction faster car 225 r 20 startfraction 225 over r 20 endfraction 55 mph 60 mph 75 mph 130 mph

Answers

If the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

Given that the faster car is travelling 20 mph faster than slower car and when slower car travels 165 miles the faster car travels 225 miles.

We are required to find the speed of slower car and faster car.

let the speed of slower car be x mph.

In this way the speed of faster car be (x+20) mph.

Speed=Distance/ time

We have to first take slower car.

x=165/Time

Time=165/x-----------1

Now by taking faster car.

x+20=225/time

Time=225/(x+20)-------2

From equation 1 an equation 2.

165/x=225/(x+20)

225x=165x+3300

225x-165x=3300

60x=3300

x=55 mph

Faster car=55+20

=75 mph.

Hence if the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

Learn more about speed at https://brainly.com/question/4931057

#SPJ1

Other Questions
Sloane kicked a soccer ball off the ground at a speed of 56 feet per second. the height of the ball can be represented by the function h(t) = 16t2 56t, where t is the time in seconds. how many seconds did the ball travel before returning the ground? t = 56 seconds t = 16 seconds t = 3.5 seconds t = 0.29 seconds Texas state government depends heavily on which type of tax to finance services? How do I this please An oblique prism with a square base of edge length x units has a volume of x3 cubic units. which expression represents the height of the prism?x unitsx units2x unitsx units If vito, inc. has an inventory turnover ratio of 5 times, then its days to sell must be? What is the kb of the base po34 given that a 0. 48m solution of the base has a ph of 12. 70? the equation described by the kb value is:___________ When the sample evidence is sufficient to justify rejecting the null hypothesis in a goodness-of-fit test, can you tell exactly how the distribution of observed values over the specified categories differs from the expected distribution? explain your answer. Help me! mark brainliest 10 pts please! What questions can you ask a question who was affected by the bantu education act A firm facing a downward-sloping demand curve sells 50 units of output at $10 each. the firm's average revenue is _____ read the following excerpt from the end of the Great Gatsby Which number is a rational number?A. sqrt{15B. 2.6457513110C. 17.156D. sqrt[3]{85} The el puente program is designed to improve the lives of _____ adolescents living in poverty. 10. Complete each of the following radioactive decay equations.235U Th+a92908737Rb Sr +6CFe1B ++ie 1. Describe how the Islamic religion impacted the social structure of society. (World History) What is the solution to the compound inequality in interval notation?4(x+1)>4 or 2x410(, 3] or (2, )(3, 2](, 2) or [3, )(, 3] or (2, ) If the fed ultimately wants to lower interest rates in the economy, then it should? I really need help ASAP! thxLet f(z)=z-8 and g(z)=4z-9Find (f+g)(2) Valerie ran three and one-fourth laps yesterday, and her coach wants her to run two and one-half times that many laps today. how many laps will she need to run today? choose the expression needed to solve the problem. Given any two events, e1 and e2, what does the probability p(e1 e2) represent?