The dot plot below shows the results of a recent patient survey at Brookwood Medical Center. Use
the data to answer the following questions. If necessary, round your answer to the nearest tenth.

Find the mean and median scores.

Answer:

It will take 16 cups to empty the sink with the blue cup and it will take 4 cups to empty the sink with the green cup.

I got this answer by doing the formula for a cylinder

Blue cup              Green cup

(π)(2^2)(8)         (π)(4^2)(8)

= 32π                  =128π

Then i divided them both by 512 and got the answer for the number of cupfuls it will take to empty the sink  

To empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.

It is given that Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches.

It is required to find how many cupfuls of water to empty the sink.

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

Sink volume V = 512π cubic inches

The blue cup diameter d(b) = 4 in or radius r(b) = 2 in          

and height h(b) = 8 in    

The green cup diameter d(g) = 8 in or radius r(g) = 4 in

and height h(g) = 8 in

The cup is the shape of a cylinder we know the volume of a cylinder is given by:

[tex]V = \pi r^2 h[/tex]

Volume for the blue cup:

[tex]\rm v(b) = \pi\times 2^2 \times 8[/tex]    [ r(b) = 2 in and h(b) = 8 in]

v(b) = 32π cubic inches

Volume for the green cup:

[tex]\rm v(g) = \pi\times 4^2 \times 8[/tex]   [r(g) = 4 in and h(g) = 8 in]

v(g) = 128π cubic inches

For a number of blue cups:

[tex]=\frac{512\pi}{32\pi}[/tex] ⇒ 16

For a number of green cups:

[tex]=\frac{512\pi}{128\pi}[/tex] ⇒ 4

Thus, to empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.

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Answer:

18

Step-by-step explanation:

a^2 + b^2 = c^2

in this case 24 is a and 30 is c

24^2 = 576

30^2 = 900

900 - 576 = 324

the square root of 324 is 18

Answer: x = 5, y = 7

Step-by-step explanation:

First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

Add equations:

y = 7

Then determine x by plugging y back into the first equation y = x + 2:

x = 5

According to the equation for the maximum speed, it is found that the height at the top of the swing of the rider is of 0.8 m.

As stated in the problem, it is given by:

v = 2gh.

In which:

In this problem, the parameters are g = 9.8, v = 15. Hence we can solve for h to find the height.

v = 2gh

2 x 9.8h = 15

19.6h = 15

h = 15/19.6

h = 0.8.

The height at the top of the swing of the rider is of 0.8 m.

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Answer:

85÷4=21.25 is the anwer

Answer:

Step-by-step explanation:

slope is -3/1

Slope is Rise/Run

meaning 3 down and 1 right

so in this case the down means the Y-axis

and the right means the x-axis

so lets put out some points.

(2,-1)

Then 1 right and down 3

(3, -4)

(4,-7)

and soo on, but we want to fin the point where x is zero.

Why?

Because that is where the y-Intercept is at.

Slope Intercept form is y=mx+b

Where m is the slope

And b is the y- Intercept

Soooo

Let's work backwards

Instead of Right 1 and Down 3 lets do

Left 1 and Up 3

And we will be starting with our original point

(2,-1)

then left 1, Up 3

2-1=1

-1+3=2

soo...

(1,2)

then again

(0,5)

That is our Y-intercept.

Now lets put all of it together.

Y=Mx+B

M=Slope

B=Y-Intercept

Y=-3x+5

You're welcome...

SonicIsCoool, if you need more help im at your service.

Answer:

11/9

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

pythagorean theorem

6x + 8 < 3x + 4

6x - 3x < 4 - 8

3x < -4

x < - 4/3

Answer:

-4/3

Step-by-step explanation:

Answer & Step-by-step explanation:

a. 4x + 3 {sum means add the numbers together}

b. [tex]\frac{5}{9 + y}[/tex]  {quotient means divided by}

c. [tex]\frac{7}{y}[/tex]

[tex]======================================[/tex]

Negative numbers are always less than positive ones.

Do you remember the symbol for "less than"? That's right, "<" :)

Hence,

-6<3

Because

-6 is negative (the - sign tells us that)

3 is positive

[tex]===================================[/tex]

~DiamondS~

The volume of the L-shaped figure would be the total volume of the two rectangular prisms that forms the shape.

The volume of a rectangular prism = length × width × height

The image referred to in this question is missing, however, to find the volume of the figure that has L-shape, decompose the figure into two rectangular prism and find the volume of each rectangular prism.

The volume of the figure would be the total volume of the two rectangular prisms.

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Answer:

7/10

Step-by-step explanation:

70 out of 100 as a fraction would be 70/100 but since they said simplify it becomes 7/10.

This cannot be made smaller, as 7 cannot be divided into 2 evenly.

Hope this helps!

Answer:

~21.23

Step-by-step explanation:

First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.

Hope this helps!

Give me brainliest too ;)

Answer: 21.23

Step-by-step explanation:

The formula for finding the area of  a circle is pi times  radius squared.

Answer:

653005 = 653,005 in the International System of Numeration, the number is (Six hundred fifty-three thousand and five)

Answer:

25.3m³

Step-by-step explanation:

Answer: B. 1178 cm²

What we are solving for:

   The lateral area is, put simply, the surface area of the cone not including the bottom.

    The formula is:

L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]

Height of the cone:

    This calls for the height, since it is a right triangle we can use the Pythagorean theorem to solve.

a² + b² = c²

15² + b² = 25²

225 + b² = 625

b² = 400

b = [tex]\sqrt{400}[/tex]

    The height is 20 cm

Solving:

    Back to the formula,

L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]

L = π15[tex]\sqrt{(20)^{2} +(15)^{2} }[/tex]

L ≈ 1178.1 cm²

              The lateral area of the cone is B. 1,178 cm².

Answer:

the answer is y = 2x + 7

Step-by-step explanation:

for it to be parallel has to have the slope

Answer:

C) 42 square cm

Step-by-step explanation:

each rectangle 2x3 = 6

each square 3x3 =9

4 rectangles 4x6 = 24

2 squares     2x9=18

24+18 = 42

Trigonometric functions are not only used in cases of an object that has a cyclical behavior.

It should be noted that trigonometric functions are real functions that relate the angle of a right angled triangle to the ratios of the two side lengths.

Trigonometric functions are not only used in cases of an object that has a cyclical behavior. It can be used to obtain unknown angles in geometric figures.

It can also be used to model the fluctuations in temperature data for a particular year.

The movement of a yo-yo can be modeled by a sinusoidal curve since it exhibits a periodic behavior.

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The fraction of her collection that is 21pennies is 56

Given the fraction for Puja's collection expressed as 3/8

Leet x be the  fraction of her collection which is 6 pennies, to have;

x of 3/8 = 6

3x/8 = 6

3x = 48

x = 16

Hence the fraction of her collection that is 6pennies is 16

Let y be the  fraction of her collection which is 21 pennies, to have;

x of 3/8 = 21

3x/8 = 21

x = 56

Hence the fraction of her collection that is 21pennies is 56

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Answer:

f(x) = 3^x+3

f(x) = 9.3^x+1

Step-by-step explanation:

Hope it helps you in your learning process.

Step-by-step explanation:

2x²+3x=20

2x²+3x=20

(√2x)²+2(√2x)(3/2√2)+(3/2√2)²-(3/2√2)²=20

(√2x+3/2√2)²=20+9/8

(√2x+3/2√2)²= 169/8

(√2x+3/2√2)= ±13/2√2

√2x=10/2√2 or -16/2√2

x= 10/4 or -16/4

x= 5/2 or -4

The statement second and statment third are the reason that method used might be biased.

It is given that Adam gives a survey postcard to every twentieth student that enters the building.

It is required to find the statement why the method used to be biased.

The sample size is nothing but the number of observations in an activity or participants generally it is represented by the small letter 'n'.

Adam gives a survey postcard to every twentieth student, not every student that enters the building.

It means asking every twentieth student does not represent the student population.

Also, the opinions of students at one high school do not exactly reflect the opinions of students at other high schools.

Students that take the time to fill out the survey and send it in are likely passionate about hot lunches.

Thus, the statement second and statment third are the reason that method used might be biased.

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Answer:

B and C

Step-by-step explanation:

We conclude that z-score = 0.0005 which is less than 5%.

To calculate the z-statistic,

We must first calculate the standard error.

Standard error is standard deviation divided by the square root of the population.

[tex]standard error=\frac{standard deviation }{\sqrt{population} }[/tex]

In this case, it is equal to 1.81.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (26 – 20)/1.81 = 3.31

Therefore we conclude that  z-score = 0.0005 which is less than 5%.

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Step-by-step explanation:

a. Area of a circle = πr², where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

Step 2: substitute radius into the formula.

Area of a circle = π([tex]\frac{1}{2}[/tex]d)²

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

Area of a circle = 3.14([tex]\frac{1}{2}[/tex]d)²

Step 4: substitute d into the formula, then we can solve its area.

b. a. Circumference of a circle = 2πr, where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

Step 2: substitute radius into the formula.

C = 2π([tex]\frac{1}{2}[/tex]d)

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

C = 2(3.14)([tex]\frac{1}{2}[/tex]d)

Step 4: substitute d into the formula, then we can solve its circumference.