Which box-and-whisker plot represents the data set?

12, 10, 16, 19, 18, 14, 4, 18, 4

Answer:

1. 392, 20.83, 4/3

2. 16 cm and 45 cm cone

3. 0.9 Fl oz

4. the cone still

Step-by-step explanation:

The volume of each vase can be determine by using volume formula of sphere, cone and cylinder.

(1) The volume of sphere is [tex]972\pi[/tex], volume of cone is [tex]960\pi[/tex] and volume of cylinder is [tex]1000\pi[/tex].

(2) You should purchase the cylinder vase.

(3) The largest vase hold [tex]40 \pi \:{\rm cm}^3[/tex] more than smallest vase.

(4) If the diameter decreases by 2 cm, then cone holds more water.

Given:

Diameter of cylinder is [tex]d=10 \:\rm cm[/tex].

Height of cylinder is [tex]h=40\:\rm cm[/tex].

Diameter of cone is [tex]d=16 \:\rm cm[/tex].

Height of cylinder is [tex]h=45\:\rm cm[/tex].

Diameter of sphere is [tex]d=45 \:\rm cm[/tex].

(1)

Calculate the volume of cylinder.

[tex]\begin{aligned}\mbox{Cylinder Volume} &= \pi r^2 h\\& = \pi(5)^2(40) \text{ cm}^3\\&= 1000 \pi \text{ cm}^3.\end{align}[/tex]

Calculate the volume of Cone.

[tex]\begin{aligned}\mbox{Cone Volume} &= \frac13 \pi r^2 h\\&= \frac13 \pi(8)^2(45) \text{ cm}^3\\&= 960 \pi \text{ cm}^3.\end{align}[/tex]

Calculate the volume of sphere.

[tex]\begin{aligned}\mbox{Sphere Volume} &= \frac43 \pi r^3\\&= \frac43 \pi (9)^3 \text{ cm}^3\\&= 972 \pi \text{ cm}^3.\end{align}[/tex]

(2)

Since the volume of cylinder is higher than the volume of sphere and cone. So, you should purchase cylinder vase.

(3)

The largest vase hold water more than the smallest vase is,

[tex]\text{Cylinder Volume} - \text{Cone Volume} = 1000 \pi \text{ cm}^3 - 960 \pi \text{ cm}^3 = 40 \pi \text{ cm}^3[/tex]

(4)

As per the question if diameter of each vase decreases by 2 cm then radius decreases by 1 cm.

Calculate the volume of cylinder.

[tex]\begin{aligned}\mbox{Cylinder Volume} &= \pi r^2 h\\&= \pi(4)^2(40) \text{ cm}^3\\&= 640 \pi \text{ cm}^3.\end{align}[/tex]

Calculate the volume of Cone.

[tex]\begin{aligned}\mbox{Cone Volume}&= \frac13 \pi r^2 h\\&= \frac13 \pi(7)^2(45) \text{ cm}^3\\&= 735 \pi \text{ cm}^3.\end{align}[/tex]

Calculate the volume of sphere.

[tex]\begin{aligned}\mbox{Sphere volume} &= \frac43 \pi r^3\\&= \frac43 \pi (8)^3 \text{ cm}^3\\&= 682 \frac23 \pi \text{ cm}^3.\end{align}[/tex]

Since the volume of cone is more the sphere and cylinder. So cone hold most water.

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40.7in^2

Circumference = 2pi*r

22.6 = 2*3.14*r

22.6 = 6.28*r

r = ~3.6

Using that we can find area

A = pi*r^2

A = 3.14*3.6^2

A = 3.14*12.96

A = 40.6944 which is ~40.7in^2

The area of the circular plate with a circumference of 22.6 inches is 40.69 in².

The area of a circle can be found by using the formula given below:

Area = πr²

The circumference is given as 22.6. Therefore:

Circumference = 2πr

⇒ 22.6 inches = 2πr

⇒ 22.6 inches = 2*3.14*r

⇒ r = 22.6/(2*3.14) inches

⇒ r = 3.6 inches

We can use this r to find the area. The area of a circle is given by:

A = πr²

= 3.14*3.6*3.6 in²

= 40.69 in²

Therefore we have found the area of the circular plate with a circumference of 22.6 inches to be 40.69 in².

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Answer:

Part A: 45

Part B: 22

Step-by-step explanation:

A multiple of a number is a number multiplied by another number.

Considering this definition, the first three multiples of 6 are 6, 12, and 18 because it is six multiplied by 1, 2, and 3.

Similarly, the multiples of 11 are 11, 21, and 33 and the multiples of 14 are 14, 28, and 42.

The first three multiples of 6 are 6, 12, and 18, the first three multiples of 11 are 11, 22, and 33, and the first three multiples of 14 are 14, 28, and 42.

The first three multiples of a number are obtained by multiplying that number by 1, 2, and 3, respectively. For the given numbers:

These calculations are made by simply multiplying the original number by 1, then 2, then 3. It's foundational multiplication, a key concept in Mathematics.

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The answer to this is the last one as it shows that not is not larger than 9 but it can equal to it. This makes the original statement true

Answer:  The correct option is

(D) [tex]n\leq 9.[/tex]

Step-by-step explanation:  We are given that the greatest value of n is 9.

We are to select the inequality that best shows all the possible values of n.

Since the greatest value of n is 9, it means that the value of n is less than or equal to 9.

But the values of n cannot be greater than 9.

So, we will be using the sign of less than or equal to in the inequality.

Therefore, the required inequality that best shows all the possible values of n is given by

[tex]n\leq 9.[/tex]

Thus, (D) is the correct option.

4(5√x^2y)+3(5√x^2y)=7(5√x^2y)

David reads 80 pages every day.

Karen reads 25% more pages every day than David reads.

So, Karen reads [tex]\frac{25}{100}*80= 20[/tex] more pages. She reads a total of 80 + 20 =100 pages.

Rick reads 35% fewer pages per day than Karen. So, Rick reads [tex]\frac{35}{100}*100=35[/tex] less pages than Karen. He reads 100 - 35 =65 pages

So, in total the tree friends read = 80+100+65=245 pages.

So, equation becomes [tex]245d=10000[/tex]

➷ First calculate the probability of getting it for each roll

As there is only one '4', the probability would be 1/6

Multiply this by the number of rolls:

1/6 x 54 = 9

The correct option would be 9.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

9

Step-By-Step-Solution

Answer:

do you still need an answer

You can tell if they're similar if they:

1) Have two of the same angles

2) If two pairs of corresponding angles in a pair of triangles are congruent.

3) If they are the same shape

Answer:

A. y = 3/5 x + 3

Step-by-step explanation:

(5, 6) and (0,3)

slope = (6 - 3)/(5-0) = 3/5

and y-intercept b = 3

Equation

y = 3/5 x + 3

Answer:

A. y = 3/5 x + 3

Answer:

its c i did the question

Step-by-step explanation:

The total time for the student's total trip is A = 58 minutes

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is = total time for the trip

Substituting the values in the equation , we get

The total length of the bus route is 57 minutes. The student is taking a trip for 2/3 of the total route length, which is (2/3) x 57 = 38 minutes

In addition to the time on the bus, the student must also walk 10 minutes to get to the bus and 10 minutes from the bus to his destination.

Therefore, the total time for the student's trip is:

38 minutes (on the bus) + 10 minutes (walking to the bus) + 10 minutes (walking from the bus) = 58 minutes

Hence , the time for student's trip is A = 58 minutes

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Answer:

Step-by-step explanation:

Can you give more information?

Ari made 1 and 5/8 total cups of fruit salad

Answer: for #1. 10.5 cups of water. For #3. 55 people

Step-by-step explanation:

You must take the total amount of fluid ounces and divide it by how many ounces in a cup, which is 8.

You must divide the amount of people that tested positive by the percentage (as a decimal) of people tested. In this case, it would be 22 divided by 0.4.

Answer:

57 inches

Step-by-step explanation:

divide 121/2 = 60.5 .. make the 3 1/2 inches into a decimal: 3.5 and then subtract 60.5 - 3.5 = 57 inches.. hope this helps

Her hair would be 57 inches after the haircut.

Hope this helps!

Answer:

5X+15

Step-by-step explanation:

you just have to multiply 5 and X and also multiply 3 by 5.

Answer:

[tex]\boxed{\bold{5x+15}}[/tex]

Step-by-step explanation:

Distributive Property: [tex]\bold{a(b+c)=(a*b)+(a*c)}[/tex]

Write An Equation:

(5 * x) + (5 * 3)

Solve:

5 * x = 5x

5 * 3 = 15

Rewrite Equation

5x + 15

Answer:

x > 18

Step-by-step explanation:

If you need to complete more than 18 repetitions, you would use the greater than sign.

Answer:

5/100, .05

Step-by-step explanation:

The decimal form remains 0.5, but when expressed with a denominator of 100, it becomes 50.0%.

To express 0.5 as hundredths in fraction form, you convert the decimal to a fraction with a denominator of 100. Since 0.5 is equivalent to 50%, you would write this as 50/100. This fraction can also be simplified to 1/2 by dividing both the numerator and the denominator by 50.

In decimal form, 0.5 is already represented as a decimal and does not require conversion. However, if we are to express it with a denominator of 100, we simply move the decimal point two places to the right (multiplying by 100), yielding 50.00, which can then be represented as 50.0% when expressing as a percent.

Answer:

H

Step-by-step explanation:

Let a represent Ann's height, and let j represent Jay's height

Break up the sentence into the key parts.

"The difference between Ann's and Jay's heights" "is" "half of Jay's height"

"The difference between Ann's and Jay's heights" becomes the expression:

         a - j

"is" is math means an equal sign '='

"half of Jay's height" becomes the expression: (1/2)j

Put the 3 parts together and get the equation:

a - j = (1/2)j,

Since all the equations in the answer choices are in terms of a, solve the above equation for a...

a = (1/2)j + j, which is answer H

Find the spread for both by subtracting the hlowest number from the highest number:

Basketball: 85-67 = 18

Baseball: 76 - 64 = 12

Now subtract the two to find their difference:

18-12 = 6

The answer would be C. The spread of data for basketball players is 6 inches greater than baseball players.

Answer:

a

Step-by-step explanation:

they’re the same shape and size

Answer:

They are going to have a congruent match of sides and angles

Step-by-step explanation:

This is because congruent parts of congruent triangles are congruent.

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Answer:

Final answer is slope = 0.73

Step-by-step explanation:

Given that an old house has a basement stairway.

Stairway has steps with 7.25 inch vertical risers and 10 inch horizontal treads. Now we need to find about what is the slope of the stairway.  Also round the answer to two decimal places.

[tex]slope=\frac{rise}{run}=\frac{7.25}{10}=0.725[/tex]

Now round that value to two decimal places gives 0.73

Hence final answer is slope = 0.73

Answer:

w^8 - 4w^7 + 6w^6  - 4w^5 + w^4 .

Step-by-step explanation:

(w - w^2)^4

= w^4 ( 1 - w)^4

By the binomial theorem:

= w^4( 1  - 4w + 6w^2 - 4w^3 + w^4)

= w^4 - 4w^5 + 6w^6 - 4w^7 + w^8

=  w^8 - 4w^7 + 6w^6  - 4w^5 + w^4 ( Standard form).

The only label that could replace "A" in the diagram is Rational Numbers only.

The correct answer is A. Rational Numbers only.

Here's a breakdown of the diagram and the reasoning behind the answer:

The diagram shows that "A" is a subset of real numbers but not a subset of whole numbers.

This means that "A" must include some numbers that are not whole numbers.

Of the given options, only rational numbers fit this description. Integers are a subset of whole numbers, and irrational numbers are not a subset of real numbers.

Complete Question:

Which label or labels could replace "A" in the diagram below?

A. Rational Numbers only

B. Rational Numbers or Integers

C. Integers only

D. Irrational Numbers

Answer:

Step-by-step explanation:

0.005 * x = 0.625                       Divide both sides by 0.005

0.005x/0.005 = 0.625/0.005    Do the division

x = 125

So what that means is 0.625 is 125 times larger than 0.005

There were about 6001 bacteria X bring introduced into the egg salad. The number of bacteria in the food 4 hours after contamination is 63000.

To find the initial number of bacteria X introduced into the egg salad, divide the final number by (1 + growth rate)^time. For estimating the number of bacteria in the food 4 hours after contamination, multiply the initial number by (1 + growth rate)^time.

To find the initial number of bacteria X introduced into the egg salad, we can use the formula:

Initial Number = Final Number / (1 + Growth Rate)^Time

Plugging in the given values, we have:

Initial Number = 35,000 / (1 + 180%)^3 = 35,000 / (1 + 1.8)^3 = 35,000 / 3.027 = 11,542.52

To estimate the number of bacteria in the food 4 hours after contamination, we can use the same formula:

Number after 4 hours = Initial Number * (1 + Growth Rate)^Time

Plugging in the values, we have:

Number after 4 hours = 11,542.52 * (1 + 180%)^4 = 11,542.52 * (1 + 1.8)^4 = 11,542.52 * 10.4044 = 120,108.83

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Area = Base x Width ÷ 2

Area = 32cm^2

Base = 8cm

32 ÷ 8 = 4

4 × 2 = 8

Answer = 8

To check our answer:

8 x 8 = 64

64 ÷ 2 = 32

:)

To find the height of a triangle with an area of 32 square centimeters and a base of 8 centimeters, we use the formula A = 1/2 × base × height. The height is calculated to be 8 centimeters.

The student has asked about finding the width of a triangle, given its area in square centimeters and the length of its base. There seems to be a confusion with the terminology; the width of a rectangle is being referred to instead of the triangle's height. However, to provide assistance with the appropriate concept, we will focus on finding the height of a triangle.

The area of a triangle is calculated by the formula A = 1/2 ×base× height. When we know the area and the base length, we can rearrange the formula to solve for the height. For a triangle with a base of 8 centimeters and an area of 32 square centimeters, the calculation would be as follows:

Area = 1/2 × base × height
32 = 1/2 × 8 × height
32 = 4 × height
height = 32 / 4
height = 8 centimeters

Therefore, the height of the triangle would be 8 centimeters.

The right option is (D) 5

−2x²+wx−4−(x²+5x+6)=−3x²−10

Add 3x^2 to both sides.

wx−3x²−5x−10+3x²=−3x²−10+3x²

wx−5x−10=−10

Add 5x to both sides.

wx−5x−10+5x=−10+5x

wx−10=5x−10

Add 10 to both sides.

wx−10+10=5x−10+10

wx=5x

Divide both sides by x.

wx /x = 5x/x

w=5

Answer:

Zero property

Step-by-step explanation:

We are making a equation equal 0