What would be the correlation coefficient (r) of the following scatter plot?
Look at the picture down below to answer the question

options:

-.15


.92


-.89


.45

The height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

The situation forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the hypotenuse of the right triangle formed is the length of the fiberboard.

The height of the ramp formed is the opposite side of the right triangle.

Hence,

sin 19° = opposite / hypotenuse

sin 19° = h / 27

cross multiply

h = 27 × sin 19°

h = 27 × 0.32556815445

h = 8.79034017034

h = 8.79 inches.

Therefore, the height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

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Answer:

8.79 inches

Step-by-step explanation:

A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.

Ratio is used to show or express the number of times a number is in proportion to another number.

Ratio can be inform of the following:

Example of ratio is 1:2 or 1/2.

Therefore A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.

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Answer:

A.  637

B.  0.2240 (4 dp) = 22.4% (nearest tenth)

Step-by-step explanation:

Normal Distribution

[tex]\sf X \sim N(\mu, \sigma^2)[/tex]

Given:

[tex]\implies \sf X \sim N(190.6, 5.8^2)[/tex]

[tex]\begin{aligned}\sf P(180 < X < 190) & = \sf P(X < 190)-P(X\leq 180)\\& = \sf 0.4588035995-0.03380583874\\& = \sf 0.4249977608\end{aligned}[/tex]

Total number of bodybuilders = 1500

Therefore, the number of bodybuilders between 180 and 190 pounds is:

[tex]\begin{aligned}\sf P(180 < X < 190) \cdot1500 & = \sf 0.4249977608 \cdot 1500\\& = \sf 637.4966412\\& = \sf 637\end{aligned}[/tex]

[tex]\begin{aligned}\sf P(X > 195) & = \sf 1-P(X\leq 195)\\& = \sf 1-0.7759602537\\ & = \sf 0.2240397463\\ & = \sf 0.2240\:(4\:dp)\end{aligned}[/tex]

Answer:

4805.38

Step-by-step explanation:

982×5.47=5371.54

598×78=46,644

5371.54-46644=4805.10

4805.10+28=4805.38

Answer: 6.32

Step-by-step explanation: 6 days a week in 4weeks Is 24days

Divide the total distance by 24

Step-by-step explanation:

median -> $24.710+$25.180=$49.89

$49.98÷2=$24.945

mode -> $25.520 and $24.710

mean -> $24.640+$26.740+$23.620+$25.520+$24.710+$25.180+$25.520+$24.750+$24.710+$23.860= $249.25

$249.25÷10=$24.925

mean (add all your numbers together and then divide them by how many they are, here there are 10 numbers)

median (the middle one, if there are 2 in the middle, then you'd add those two numbers together and then divide by two)

mode (the number you see the most, mode *most*)

I hope all this helped, this took time. Take care!

Answer:

the same  65 degrees

Step-by-step explanation:

Answer:

the order that they are in right now is right

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Areas and Volumes.

Area of Shaded region = Area of Square - Area of inscribed Circle.

Radius if circle = 10/2 ==> 5 units

hence,

Area of circle = 25 π units

Area of square = (10)^2 ==> 100 units

hence the area of shaded region = 100 - 25π

==> Area of shaded region = 25 (4 - π)

Correct option is G.)

Answer:

(0, - 6)

Step-by-step explanation:

Midpoint Formula

Solving

Answer:

The midpoint is (0, -6)

Step-by-step explanation:

Step 1:  Determine the midpoint

[tex]midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]

[tex]midpoint = (\frac{-3 + 3}{2}, \frac{-7 + (-5)}{2})[/tex]

[tex]midpoint = (\frac{0}{2}, \frac{-7 -5}{2})[/tex]

[tex]midpoint = (0, \frac{-12}{2})[/tex]

[tex]midpoint = (0, -6)[/tex]

Answer: The midpoint is (0, -6)

Answer:

$ 22.38

Step-by-step explanation:

If the pre-sale price is $ 55.95

 40 % of this would be  .4 * 55.95 =  $ 22.38

Answer:

6834 / 17 = 402

Step-by-step explanation:

• sorry i d k, I just got the ans on calculator

Answer:Letter D

Step-by-step explanation:If James is measuring the water level in the morning and it’s -2 feet and the water in the afternoon is -6.5 -2 is closer to the dock than -6.5 so it’s greater than -6.5 feet.

Answer:

sinΘ =1

Step-by-step explanation:

cosΘ × cosΘ/sinΘ+ sinΘ = sinΘ

cos^2 Θ/sinΘ +sinΘ =sinΘ

cos^2Θ+ sin^2Θ /sin Θ = sinΘ

1/sinΘ =sinΘ

Answer: 40%

Step-by-step explanation:

The tangent or tanθ function of trigonometry is the ratio of its perpendicular to its base in a right triangle.  The total height of the sky scrapper is 118.25 meters.

The tangent or tanθ function of trigonometry is the ratio of its perpendicular to its base in a right triangle. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Since the horizontal distance between Hannah's eyes and the sky scrapper is 194 meters while the angle between the eye and the top of the sky scrapper is 31°. Therefore, the vertical height of the sky scrapper from the height of Hannah's eye level, using the tangent function can be written as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\\\\\\tan(31^o) = \dfrac{\text{Height of sky scrapper from eye level}}{194\ meters}\\\\\\\text{Height of sky scrapper from eye level} = 116.567\ meters[/tex]

Since the height of the eye level is 1.68 meters from the ground, therefore, the total height of the sky scrapper can be written as,

[tex]\rm \text{Total height of sky scrapper from ground}\\\\=(\text{Height of sky scrapper from eye level}) + 1.68\ meters\\\\= 116.567 + 1.68\\\\= 118.25\ meters[/tex]

Hence, the total height of the sky scrapper is 118.25 meters.

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Answer: 350 gallon

Step-by-step explanation:

If 19.8% is 69.3gallons

1% is 69.3/19.8

100% used is 69.3/19.8 × 100/1

Answer:

p=1000

t=5 years

r=10%

i=(ptr)/100

i=(1000×5×10)/100

i=50000/100

i=500

Answer:

[tex]4x^2+6x-3[/tex]

Step-by-step explanation:

"/" substitutes the normal division symbol

                  [tex]4x^2[/tex] [tex]+6x[/tex] [tex]-3[/tex]

         ______________

[tex]x-2/4x^3-2x^2-15x+6[/tex]

         [tex]4x^3[/tex] [tex]-8x^2[/tex]

______________________

                 [tex]6x^2[/tex]  [tex]-12x[/tex]

______________________

                         [tex]-3x+6[/tex]

x multiplied by what equals [tex]4x^3[/tex]? [tex]x(4x^2)=4x^3[/tex], so the first number that goes on top is [tex]4x^2[/tex]. Multiply x by [tex]4x^2[/tex] and put it below to the [tex]4x^3[/tex] on the first row. Multiply x-2 by [tex]4x^2[/tex] and put it below  the [tex]-2x^2[/tex] . Subtract the first row from the second row.

x multiplied by what equals [tex]6x^2[/tex]? [tex]6x[/tex]. Repeat the same process as before except with [tex]6x^2[/tex]

Answer: 1.44

Step-by-step explanation: 1.20 Is the remaining 5/6 which is 83.3%

Calculate for 100% to get actual amount

If 83.3% = 1.20

1% = 1.20/83.3

100% = 1.20/83.3 ×100/1

The original price is equal to  £7.2

1. Cost price = Selling price − profit ( when selling price and profit are given )

2. Cost price = Selling price + loss ( when selling price and loss are given )

Given here: New price =£ 1.20

let the original price be x then we have

x/6 = 1.20

x=£7.2

Hence, The original price is £7.2

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Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

To graph y = f (x) -k, move the graph of k units down.

We have then:

f (x) = 2 ^ x

g (x) = f (x) + k

if k = 2

then,

the graph of g (x) is shifted vertically 2 units up

Answer:

the graph of g (x) is shifted vertically 2 units up

y = 4x -21  (again cool name btw) :)

y=4x-3 has slope = to the coefficient of the x term = 4

all parallel lines have the same slope.

y=4x + b, where b can be any real number, so just plug in the point (4,-5) into the general equation

y=4x+b = -5 = 4(4) + b

-5 = 16 + b

-21 = b

b = -21 = the y intercept, so the equation is

y=4x -21

Answer:

D. 5/3

Step-by-step explanation:

[tex]\frac{1/6+1/2+1/3+x}{4} =2/3[/tex]

[tex]1/6+1/2+1/3+x=8/3[/tex]

[tex]x=8/3-1/6-1/2-1/3[/tex]

[tex]x=8/3-1/6-3/6-2/6[/tex]

[tex]x=8/3-6/6[/tex]

[tex]x=16/6-6/6=10/6[/tex]

simplified

[tex]x=5/3[/tex]

Hope this helps

Answer:

3/2+9/9=2.5

Step-By-Step Explanation

3/2=1.5

9/9=1

1.5+1=2.5

Answer:

Option B - Darin scores in a basketball game is 19 Points

Step-by-step explanation:

Darin scores in a basketball game = 3s + 2t + u

where s is the number of three-point field goals made,

t is the number of two-point field goals made,

u is the number of free throws made.

Darin scores in a basketball game = 3(2) + 2(5) + 3

= 6 + 10 + 3

= 19 Points

Hope this helps!

[tex]\maltese \: \: \underline{\underline{\frak{Understanding~the~question :-}}} \\ \\[/tex]

For solving this question, we will take the help of the branch of mathematics that studies the sizes of different shapes may they be 2D or 3D, called mensuration.

⠀

There are two parts in the question, in the first part we have been asked to calculate the ratio of the total surface area of the two cubes, for that we will calculate their total surface areas and divide them in order to calculate the ratio. In the second part, we have been asked to calculate the ratio of the volume of the two cubes, and in order to calculate the ratio, at first we will calculate the volumes of the respective cubes and then divide them. And, thus, in this way, we will get our required answer.

⠀

[tex] \maltese \: \underline{ \underline{ \frak{Given :-}}} \\ \\ [/tex]

Two cubes in which the sides measure,

⠀

[tex] \maltese \: \: \underline{ \underline{ \frak{Formula~Applied :-}}} \\ \\ [/tex]

[tex] \bigstar \begin{cases} \sf 1.~Volume_{cube} = {a} ^3\\ \\\sf 2.~T.S.A._{cube} = 6{a}^2\end{cases} \\ \\ [/tex]

[tex] \maltese \: \underline{ \underline{ \frak{Solution :-}}} \\ \\ [/tex]

Calculating the total surface areas,

⠀

[tex] \sf \longrightarrow TSA \: of \: A = 6( {1)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: A =6 \times 1 \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: A = {6 \: inch}^{2} \\ \\ [/tex]

[tex]\sf \longrightarrow TSA \: of \: B =6 {(10)}^{2} \: \: \: \: \: \: \\ \\ \\\sf \longrightarrow TSA \: of \: B =6 \times 100 \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: B = {600 \: inch}^{2} \\ \\ [/tex]

Thus, now we can calculate the ratio,

⠀

[tex]\sf \longrightarrow Ratio = \dfrac{TSA~of~A} {TSA~of~B} \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{6}{600} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \cancel \dfrac{6}{600} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{1}{100} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio =1 : 100 \: \: \: \: \: \: \\ \\ [/tex]

Thus, the ratio of the total surface area of the cubes is 1 : 100. Now, moving to the second part of the question, and calculating the volume of the cubes, we have,

⠀

[tex]\sf \longrightarrow Volume \: of \: A= {(a)}^{3 } \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: A= {(1)}^{3} \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: A= {1 \: inch}^{3} \\ \\ [/tex]

[tex]\sf \longrightarrow Volume \: of \: B = {(a)}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: B = {(10)}^{3} \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: B = {1000 \: inch}^{3} \\ \\ [/tex]

Now, calculating the ratio,

⠀

[tex]\sf \longrightarrow Ratio =\dfrac{Volume ~of~A} {Volume~of~B} \: \: \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{ {1 \: inch}^{3} }{1000 \: {inch}^{3} } \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \cancel\dfrac{ {1 \: inch}^{3} }{ {1000 \: inch}^{3} } \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio =1 : 1000 \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the ratio of the volume of the cubes is 1 : 1000.

⠀

[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

Work Shown:

(90 lawns)/(45 hours) = (12 lawns)/(x hours)

90/45 = 12/x

2 = 12/x

2x = 12

x = 12/2

x = 6

It takes 6 hours to mow 12 lawns.

Answer:

D. x - 4

Step-by-step explanation:

(x - 4)(x + 10)

= x^2 + 6x - 40

A factor is something that multiplies together with something else to get a product. Here the factors are binomials and the product is a trinomial.