500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18-degree angle, since 18 degrees is 5% of 360 degrees.

If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?

500 People Are Asked To Name Their Favorite Color. The Results Of This Survey Are Shown In The Pie Chart

Answers

Answer 1

Answer:

40 degrees is (40/360)=0.111=11.1%

The color closest to 11.1% is Purple at 12%.

The total who prefer a rainbow color is:

13+4+5+15+16+12=65

Of this 65, 13 prefer red, so 13/65=0.20,

of the people who preferred a rainbow color,

20% preferred red.

Step-by-step explanation:

Answer 2

The percentage of those people who preferred red is 20%.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Considering only the people who named a rainbow color (red, orange, yellow, green, blue, or purple).

This means,

Total percentage.

= (13 + 4 + 5 + 15 + 16 + 12)

= 65%

Now,

The percentage of those people preferred red.

= 13%/65% x 100 %

= 13/65 x 100

= 20%

Thus,

The percentage of those people who preferred red is 20%.

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Related Questions

please help me get the answers

Answers

Answer:

Step-by-step explanation:

2 by 2

answer: 2 by 2 from what i can see

What does ! mean in a math problem?

Answers

Answer:

Factorial

Step-by-step explanation:

Factorial: Denoted by the exclamation mark (!). Factorial means to multiply by decreasing positive integers. For example, 5! = 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 120.

Hope this helped you<33

ok finally the answer was

(!). 4! simply means that we are taking the product of 4×3×2×1. See some examples below: 1! = 1 2! = 2×1 = 2

The cost of a cleaning service includes labor and supplies. Supplies are 30% of the total cost. The cost of supplies for a certain cleaning service is $54.

What is the total cost of the cleaning service?

Enter your answer in the box.

Answers

Answer: $37.8

Step-by-step explanation: To find the cost of the supplies we multiply $54 by .3 (the decimal version of 30%). The total is 16.2 . If we subtract this from the total amount we find the cost of the cleaning service. 54-16.2 = 37.8

the answer is $37.80 hope this helps you out

Turtles can live a long time. This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:

A box turtle and a map turtle escape from the reptile house of the Kalamazoo Zoo. The box turtle is older than the map turtle. The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape.

What is the age of the escaped box turtle?

Answers

Answer:

1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67

The average age  is  22 yrs

The sum  of the ages  is  440 yrs

When  two  of the turtles leave, the average is  21 yrs....and there are 18 turtles left

So....the sum of the ages is  21 * 18  = 378

And the difference  in the sums  is  62

The only two values that sum to 62  are  26 and 36

So.....the box turtle must have been 36 and the map turtle must have been 26

Step-by-step explanation:

The age of the escaped box turtle is 36 years in the reptile house of the Kalamazoo Zoo.

What is the stem-and-leaf diagram?

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:

1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67

To find the age of the escaped box turtle, we can first find the average age of all the turtles before the escape. To do this, we can add up all the ages and divide by the number of turtles:

(1+1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67)/20 = 26

The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape, so the average age of the turtles remaining at the zoo is 26 - 1 = 25 years.

To find the age of the escaped box turtle, we need to subtract its age from the average age of the remaining turtles.

Let's represent the age of the box turtle X. We can set up the equation:

(1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67 - X)/19 = 25

We can solve this equation by multiplying both sides by 19 and then subtracting 67 from both sides:

1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 - X = 475

Then we can add X to both sides to get:

1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 -X + X = 475 + X

This simplifies to:

X = 36

Therefore, the age of the escaped box turtle is 36 years.

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the answer to this, i don’t understand it

Answers

answer:
9.2

Step-by-step explanation:
Since it is a right triangle, you can use the Pythagorean theorem to find the third side which is the hypotenuse.

a^2 + b^2 = c^2
7^2 + 6^2 = c^2
49 + 36 = c^2
85 = c^2
9.219 = C
So, the answer rounded to the nearest tenth would be: 9.2


Answer: the answer should be 9.22

Step-by-step explanation:

the formula is a^2 +b^=c ^

So 49 plus 36 equals 85

And the square root of 85 is 9.22

PLEASE HELP!!!!!!! URGENT!
Drag the tiles to the correct boxes to complete the pairs.

Match each event to the likelihood of its occurrence.

Answers

Answer:

My explanation is below.

Step-by-step explanation:

rolling a six sided die and getting 7 = impossible

This is because a six sided die doesn’t even have the number 7 on it.

Randomly selecting a girl from a team of 14 boys and 4 girls = unlikely

This is because, if there are 14 boys and 4 girls, the girls have a lower chance of getting picked.


Randomly selecting a short straw from a set of 12 short straws and 12 long straws = neither likely nor unlikely

This is because the chance of picking a long straw is 12/24 and the chance of picking a short straw is 12/24 so it’s equal or neither unlikely or likely since you have a equal chance of picking either one.


Picking a bird from a list of 20 bird species and 6 other animals = likely

This is likely because, 20 is more than 6 and because there are 20 birds and 6 other animals, the birds are more likely.

rolling a six side dice and getting 7- impossible
picking a bird from a list with 6 other animals-likely
randomly selecting straws- neither likely or unlikely
randomly selecting a girl-unlikely
hope this helps :)

A box has the shape of a rectangular prism with height 31 cm. If the height is increased by 0.9 cm, by how much does the surface area of the box increase? 31 cm 12 cm 7.2 cm Use pencil and paper. Show your work. Then show a second way to solve the problem. Explain which way you like better and why. The surface area increases by cm2​

Answers

First size: SA1 = 2B + Ph, where B = area of the base of the figure, P = perimeter of the base and h = height

SA1 = 2(12*7,2) + (12+7,2)*31 = 172.8 + 595.2 = 768 cm^2

Second size: SA2 = 2B + ph2 (where h2 is the new height, 31.9 cm)
SA2 = 2(12*7,2) + (12+7,2)*31.9 = 785.28 cm^2

It increases (by rounding it down) by 17 cm^2.

PLEASE HELLLP i will give you brainiest points and everything!!!!

Answers

Answer:

A = 8cm

B = 11cm

C = 4cm

D = 4cm

(b)

11x4=32

11x4=32

8x11=88

8x11=88

88+88+32+32=240  (i think)

(c)

240

8x4=32

8x4=32

240+32+32=302

Step-by-step explanation:

A=8cm

B=11cm

C=4cm

D=4cm


b)

11x4=44

11x4=44

8x11=88

8x11=88


88+88+44+44=264 ( Im sure)

c)

264

8x4=32

8x4=32

14. A machine can print 1,520 pages per hour. How many pages can it print in 15 min?

Answers

Answer:

Step-by-step explanation:

1 hour equals 60 minutes

Find out how many pages per minute by dividing 1,520 pages by 60 minutes.

= 25.3333333

Therefore the machine prints 25.333333 pages per minute.

Multiply 25.3333333 by 15 minutes = 380

The machine can print 380 pages in 15 minutes.

You can check your work by finding out how many fifteen minute periods are in an hour (60/15=4), and multiplying 380x4

Since 15x4 is 60 and you can print 1520 pages in 60 minutes, you should be able to multiply 380x4 and get 1520 (spoiler alert! 380x4 is 1,520)

Hope that helped!

Helpp me pls I'm struggling

Answers

Answer:

B. 2nd Play and B. 2nd Play

Step-by-step explanation:

#1) Going negative means going backwards.

-8<10.5

#2) Absolute value means making all numbers INSIDE the two lines positive.

I-8I = 8

I10.5I = 10.5

B. 2nd play the first play list them yard because it’s a negative

H) A bar graph shows the favorite food of 20 people.
Does it make sense to describe the distribution of
these data?
Explain.

Answers

Answer:

No

Step-by-step explanation:

The data is discrete and so there would be nothing to compare in terms of distribution as there are no similarities between the different categories.

The final answer is no

Vivek is making a perpendicular segment in the middle of segment JR.

First, he drew an arc centered at J.
Then, he used the same radius to draw an arc centered at R.
Next, he found the points where the arcs intersected.

What MUST be true?

Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.
CLEAR CHECK

P is the same distance from N as J is from R.


PN is equal to JR.


Any point on PN will be equidistant from J and R.


NR is half of JR.

Answers

Answer:

Step-by-step explanation:

The correct answer is :Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.

Harper wants to put wood shavings in her rabbit's cage. The floor of the cage measures 1 yard wide by 6 feet long. One bag of shavings cover 10 square feet.

How many bags will Harper have to buy to cover the floor of the cage? Explain

Harper will have to buy _____ bag(s) to cover the floor because the area of the floor is _____ square foot/feet.

Help please ​:-(

Answers

Answer:

she would need 2 bags because it is 18 but covers 10 square feet

Step-by-step explanation:

Width = 1 yard = 3 feet

Length = 6 feet

Square feet(area) of the floor = 6ft × 3ft = 18sqft

1 bag = 10sqft

x bag = 18 sqft

x bags = (18 × 1)/10

= 1.8 bags

2 bags

2 bags!! hope this helped :)

question: the solutions of a quadratic equation are x=-7 and 5. which could represent the quadratic equation and why?

Answers

Answer:

B) x²+2x-35=0; the factors are (x+7)(x-5)

Step-by-step explanation:

The quadratic equation which has the solutions as x = -7 and 5 may be x² + 2x - 35 = 0, the factors are (x + 7) and (x - 5) and (x + 7)(x - 5) = x² + 2x - 35.

What are Quadratic Equations?

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given that,

a quadratic equation has the solutions x = -7 and 5.

There are two options, x² + 2x - 35 and x² - 2x - 35

Using the factorization method, a quadratic equation ax² + b x + c = 0 can be factored as (x + p)(x + q) where pq = c/a and p + q = b/a.

Consider, x² + 2x - 35 = 0

There are numbers 7 and -5 that 7 - 5 = 2 and 7 × -5 = -35

So it can factored as,

(x + 7) (x - 5) = 0

Solutions are x = -7 and x = 5

Hence the quadratic equation is x² + 2x - 35 = 0.

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which one could it be I don´t understand circumference nor pie

Answers

Answer:3

Step-by-step explanation:

The answer is 3:

Explanation:

The circumference is basically the perimeter of the circle. To find the circumference, you do diameter • pi. Pi is a number that we use for finding circles. It goes on and on. They are still finding numbers to this day. For most problems, you will use 3.14. In order to find the diameter in this case, you will do circumference divided by pi. Because remember, C = D • pi. From there you will get your diameter. Hope this helps!!

i need help on this- nothing is right for me

Answers

Answer:

5. Area = 28.5 cm; 6. Area = 544,500 cm

Step-by-step explanation:

Area = Length×Width

5. You have to convert the mm to cm by dividing the mm by 10. Then just multiply the length and width.

6. Same thing; different unit, convert the m to cm (or vice versa, not sure which unit you need to answer in) and multiply the length and width.

Answer:

5. Area = 28.5 cm; 6. Area = 544,500 cm

Step-by-step explanation:

What is the slant height, s, of the triangular prism?
Round your answer to the nearest tenth.
Image below

Answers

Step-by-step explanation:

there is a right angled triangle.

25+4 = 29 = slant ht^2

h = 5.38 units

please help my finale math exam is do to night
1: What is the volume of a circular cake pan that measures 8 inches across and 2 inches high?
2: How many outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time?

3: Sammy puts 12 M&Ms in a bag. 3 are green, 4 are yellow, 2 are orange, and 3 are red. He pulls one M&M at a time from the bag and eats it. What is the probability he will pull a yellow, then a green, then a red?

4: A magician is doing a trick that needs 3 volunteers and he has 100 audience members to choose from. How many different ways can the magician choose his volunteers?

5: A waiter in a restaurant has 8 booths available. How many different arrangements are possible to seat 8 groups of people?

Answers

Answer:

Dimension                                               volume

6 cups (1.5 L) 8 x 2 inch (20 x 5 cm) Round Cake Pan

6 cups (1.5 L) 9 x 1.5 inch (23 x 4 cm) Round Cake Pan

6 cups (1.5 L) 8 x 8 x 1.5 inch (20 x 20 x 4 cm) Square Cake Pan

8 cups (2 L) 9 x 2 inch (23 x 5 cm) Round Cake Pan

here are four outcomes that sum to seven out of 24 possible outcomes. Therefore the probability of values of four sided die and six sided

Step-by-step explanation:

PLEAAAAAAAAAAAASEEEEEEEEEEEEE HELP!!!!!!!!! | In your own words, describe when you should use area, and when you should use volume in calculating the amount of space an object occupies.

Answers

If you plan on using area you’d use it for measurements of a room or a farm to figure out how many square feet it is. When using volume you’re figuring out how much of something can fit in that something. for example, you’d need to find the volume of a popcorn bucket in order to find out how much popcorn can fit without overfilling

The amount of space an object occupies is known as volume.

What is the area?

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

What is the volume?

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The amount of space an object occupies is known as volume.

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HELP ASAP!!!!!!!!!!!!!!!!!!!!!! ^^ (WILL GIVE BRAINLIEST)

Answers

Answer:

1438 cm²

Explanation:

Rectangular prism area:  2(length × width + width × height + length × height)

Here given:

length: 19 cmwidth: 11 cmheight: 17 cm

Find Surface Area:

2(19 × 11  + 11 × 17 + 19 × 17) = 2(719) = 1438 cm²

the answer is 1438cm ^2 hope this helps

True or False? In Exercises 119 and 120, determine whether the equation is true or false. Justify your answer.
120. \ln (x+y)=\ln x+\ln y

Answers

Answer:

True

Step-by-step explanation:

To find true or false

Using the properties of logarithms, the left side of the given equation .logb b^2r=2r

, is equivalent to logb b^2r = 2x logb b

(use Power Rule)

=2x(1)

=2x

Hence, the given statement is a true statement.



Please help me with this I would give you 50 points.

Answers

Answers for #5

- s/10

- 8*b

- h+7

- 3*r-8

Question 6

62 miles/hour x 4 hours = 248 miles traveled

1. s/10

2. 8•b

3. 7 > h

4. 8 < 3 • r


5. 248 miles

Why is there a 1/2 in this formula for the area of a trapezoid?

Answers

A simple answer is that any given trapezoid with height h and length of the parallel lines a and b, is half of a parallelogram with an area of (a+b) x h. Since the trapezoid is half of this, it is h(a+b)/2

Please I need help



Point Y is the center of the circle. Which line segment is congruent to line segment XY?

A) line segment UZ

B) line segment ZU

C) line segments ZU and YZ

D) line segments UY and ZY

Answers

Answer:

D

Step-by-step explanation:

they are all congruent in length.

Answer:

D) line segments UY and ZY

Step-by-step explanation:

Congruent is when things are the same size and shape. Therefore, the only line segments that are congruent to line segment XY are line segments UY and ZY.

any answer needed for practice for next subject study

Answers

Answer:

The Stores profit is 70% or $59.5

How?

The reason is because if it's selling it for 100% of the price, then that means that the store bought it for 85 dollars, and it's selling it for 85 dollars, and that's 0% profit. But because the store has bought it for 100%, and then it's charging another 70% of the price, so the store's profit is 70%.

Now, we find 70% of 85 dollars, which will be the STORE'S PROFIT AMOUNT!

1. Convert percentages into fractions or decimals

For fraction: divide 70 by 100 and remove the % sign.

[tex]{70}\%=\frac{70}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

[tex]{70}\%=0.7[/tex]

2. Multiply the decimal or fraction by the quantity that equals 100%

[tex]100[/tex]%[tex]=85[/tex]

[tex]\frac{70}{100} *85=0.7*85=59.5[/tex]

70% of 85 is 59.5Store's profit is $59.5

Extra info:

170% of 85 = 144.5

70% of 85 = 59.5

What is the area and circumference of the circle (3.14 for pi)

Answers

We will use the proper formula and solve.

    -> A diameter of 48 / 2 = 24 feet as our radius

   Area:

A = πr²

A = (3.14)(24)²

A = 1,808.64 ft²

      The circle has an area of about 1,808.64 ft²

   Circumference:

C = 2πr

C = 2(3.14)(24)

C = 150.72 ft

      The circle has a circumference of about 150.72 ft

Answer:

Circumference = 150.72

Area = 1808.64

Step-by-step explanation:

whats the answer to this

Answers

Answer: About 9.2

Step-by-step explanation:

  Since this is a right triangle, we can use the Pythagorean theorem. We are solving for the hypotenuse which is the "c" variable in the formula.

a² + b² = c²

7² + 6² = c²

7² + 6² = c²

49 + 36 = c²

85 = c²

[tex]\sqrt{85}[/tex] = c

9.2 ≈ c

7. A machine produces 900 light bulbs in 1 hour.
The rate is ___________ light bulbs per minute.

Answers

Answer:

15

Step-by-step explanation:

900 light bulbs per hour

60 minutes per hour

X lightbulbs per minute

Divide 900 lightbulbs by 60 minutes

15

The rate is 15 light bulbs per minute

Item 19
A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.

How many campers chose basketball as their favorite activity?


26 campers

36 campers

44 campers

58 campers

Answers

Answer:

C. There would be 44 Campers who like basketball.

Step-by-step explanation:

When you divide 200 and 22% you get 44. 44 campers like basketball

44 campers chose basketball

Uhm does anyone know the answers?

Answers

A B E

.

..

.

.

.

.

...

.

.

..

.

.

.

.

..

Answer:

Use the FOIL Method

Step-by-step explanation:

A: 5.9a + 2.2b

B: 5.9a + 5.6b

C: 5.9a - 5.6b

D: 5.6b - 5.9a

E: 5.9a - 5.6b (This is it’s simplest form)

So as you can C and E are equalivalent, so these are your answers.

Mark me brainliest if this was correct :)

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I looked up at the roof which extended far, almost too far reminding me of why I chose to live in a mansion. Well, actually I'm not sure why I chose to live in a mansion by myself. As I thought to myself, I only conjured sad thoughts. I felt like crying but only then I would be feeling bad for myself. Rich people aren't supposed to be sad? Not like this aren't they? I wanted to believe that, be like them, everybody else but it was something that I couldn't be. Rich was just a word but It can't describe how I felt. It just described who I was in an aspect of wealth. All alone, I sat in my chair rocking back and forth looking through the isolated and strangely large circular window. Clouds among clouds among more clouds stretching a seemingly endless route. I wish I was up there so I could feel the weightlessness that I so longlessly dreamed about. The weightlessness that brought no sadness, stress, or struggles. Down here I was merely a weight on the world, being of no use to anyone or anything, maybe even a diamond in the rough but if my uniqueness showed then maybe I would actually have potential. Still, that sounded very unlikely. I couldn't honor my myself but the weightlessness of the clouds could. Above those clouds only then would I see the sun once again. How happy would I be? Eternally happy. Only the clouds could make me happy because they looked so fake yet they were real just like myself. I'm not sure how many months I'll be in town. The renting agent says I can leave with 30 days notice." Rent. Not rent.