The table shows the favourite colour of 400 people.
Colour
Frequency | Angle in
Red
100
Blue
100
Green
150
Yellow
50
Complete the table and draw a pie chart
to represent this information.
Note: Please draw your pie chart in a 'clockwise' direction from the line already drawn
and follow the order from the table (Red, then Blue etc...).
Answers
The favourite colours represent the following angles: red (90°), blue (90°), green (135°) and yellow (45°).
Rule of Three
It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
Here you can apply the rule of three for finding the angle of each frequency. The total of people (400) represents the total angle of a circumference which is 360°.
For colour - red400 ----------- 360°
100 ------------ r
400r=360*100
400r=36000
r=36000/400
r=90°
For colour - blue400 ----------- 360°
100 ------------ b
400b=360*100
400b=36000
b=36000/400
b=90°
For colour - green400 ----------- 360°
150------------ g
400g=360*150
400g=54000
g=54000/400
g=135°
For colour - yellow400 ----------- 360°
50------------ y
400y=360*50
400y=54000
y=18000/400
y=45°
Read more about the rule of three here:
brainly.com/question/24514897
#SPJ1
Related Questions
Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis? On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1).
Answers
Answer:
[tex]C'\ = (-5,3)[/tex]
Step-by-step explanation:
Given
[tex]A = (2, 1)[/tex]
[tex]B = (3, 5)[/tex]
[tex]C = (5, 3)[/tex]
[tex]D = (3, 1).[/tex]
Reflection across y-axis
Required
Coordinates of C'
When a point is reflected across the y-axis, the rule is:
[tex](x,y) \to (-x,y)[/tex]
So, the reflection on C will be:
[tex]C\ (5,3) \to C'\ (-5,3)[/tex]
Answer:
A
Step-by-step explanation:
(-5,3)
write an equivalent expression by applying the distributive property (x-5)^2
Answers
Answer:
x^2 - 10x + 25
Step-by-step explanation:
Hope it helps.
For the function g(x) = -4x + 6, what input value results in an output value of 6?
х
-6
-2
0
2
4
6
у
30
22
14
6
-2
-10
-18
A-18
B -6
C 0
D 30
Answers
Answer:
C. 0
I don't where all the values of x and y must be kept but ignoring those the ans is 0
Find the mean of the data in the dot plot below.
\text{ g} gstart text, space, g, end text
Answers
Answer: 40.5
Step-by-step explanation: If it help please thanks me!
Answer:
???picture please
Step-by-step explanation:
A triangle has side lengths that measure 13 cm, 12 cm and 14 cm. What type of triangle is it?
Answers
Answer:
A scalene triangle.
Step-by-step explanation:
Scalene triangles does not have any equal sides.
This is so hard help
Answers
Answer:
42
Step-by-step explanation:
Answer:
Ik it
Step-by-step explanation:
There are 5 more yellow balloons than blue balloons at the party.If the total number of the balloons is 27,how many blue balloons are there?
Answers
Answer:
there are 11 blue balloons and 16 yellow balloons
help me with my math plz
Answers
Answer:
the answer is "D: More students prefer model A1 calculators than model C3 calculators"
Step-by-step explanation:
Simplify (4^-2)^5
O A. 410
B.
C. 43
D. 270
Answers
Answer:
D
Step-by-step explanation:
the real answer would be 1/1048576
In a board game, students draw a number do not replace it, and then draw a second number. Determine the probability of each event occurring. Drawing an odd number then drawing a 6? dependent events. PLEASE HELP ME
Answers
The figure depicting the board game is attached below.
Answer:
Step-by-step explanation:
Kindly note that selections done without replacement.
Count of numbers on the board game = 8
Count of odd numbers = (1, 9, 1) = 3
Count of digit 6 = 3
Probability = required outcome / Total possible outcomes
P(picking an odd number) = 3 / 8
Without replacement
Numbers left on board game = 8 - 1 = 7
P(picking a 6) = 3 / 7
Hence,
P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56
what is 4,000,000 + 800,00 + 10,000 + 2,000 + 400 + 80 + 9 in standard form?
please help asap
Answers
Answer:
4,812,489
Step-by-step explanation:
Answer:
408,12,489
Step-by-step explanation:
hope it helped you
Is the relationship shown by the data linear if so model the data with an equation
Answers
What would x=? Alternate Exterior & Interior Angles, 8th grade math! Help would be appreciated <3
Answers
Answer:
x = 4
Step-by-step explanation:
From the picture attached,
Two parallel lines with a transversal line intersecting these parallel lines at two distinct points.
Angles measuring 36° and (8x + 4)° are Alternate interior angles.
Therefore, measure of these angles will be equal.
(8x + 4)° = 36°
(8x + 4) - 4 = 36 - 4
8x = 32
x = 4
Is the ordered pair (-2, 1) a solution to the equation - 3x + y = 5?
No
Yes
Answers
Answer:
No
Step-by-step explanation:
Plug (-2,1) into -3x+y=5. This will make it -3(-2)+(1)=5. This is equal to 6+1=5. 7=5. 7 is not equal to 5. Therefore, (-2,1) is not a solution to the equation -3x+y=5.
If this helps please mark as brainliest
A box is 6 inches long, 4 inches wide, and 3 inches
high. What is the volume of the box?
Answers
Answer:
volume = 72
Step-by-step explanation:
multiply 6 x 4 x 3
At a school, 1 out of every 3 girls who tried out for basketball made the
team. Which ratio represents the number of girls who made the team to
the number of girls who did not make the team?
Answers
Answer:
1:2
Step-by-step explanation:
because only one gets into the team
and the remaining two don't make the team
(PLEASE HELP ILL GIVE BRAINLIEST)
Use the pattern in the table to answer the question
Which function was used to make the pattern?
(no random links)
Answers
Answer:
and is B
Step-by-step explanation:
plz follow me
thanks
What is the measure of the inscribed angle that shares endpoints with a central angle measuring 58 degrees?
Answers
Answer:
29 degrees
Step-by-step explanation:
See attached image of an inscribed angle together with a central angle.
An inscribed angle is half the measure of the central angle! Always! In my image, if the measure of angle CAB is 58 degrees, then that is also the measure of arc CB. The inscribed angle CDB is half the measure of the intercepted arc CB, so it's 29 degrees.
Please answer it quickly the question is below!!! 40 points!!!!
On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?
HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.
A
187.5 ft
B
13.3 in.
C
187.5 in.
D
13.3 ft
Answers
Answer:
187.5 ft
Step-by-step explanation:
50 ft x 3.75 = 187.5
There are 10 ice cream sandwiches, 5 drumsticks, and 6 vanilla ice cream cups in the freezer. You randomly select one and give it to your sister, then randomly select one for yourself. What is the probability of NOT selecting a drumstick and a vanilla ice cream cup? *
Answers
Answer:
The probability of not selecting a drumstick and a vanilla ice cream cup is 92.86%.
Step-by-step explanation:
Since there are 10 ice cream sandwiches, 5 drumsticks, and 6 vanilla ice cream cups in the freezer, and I randomly select one and give it to my sister, and then randomly select one for me, to determine what is the probability of not Selecting a drumstick and a vanilla ice cream cup, the following calculation should be performed:
5/21 x 6/20 = X
0.2380 x 0.3 = X
0.0714 = X
1- 0.0714 = X
0.9286 = X
0.9286 x 100 = 92.86
Therefore, the probability of not selecting a drumstick and a vanilla ice cream cup is 92.86%.
PLEASE PLEASE PLEASE HELP ME!!!!!!!!!
Choose the algebraic description that maps the image ΔXYZ onto ΔX′Y′Z′. Question options: A)
(x, y) → (x + 6, y – 1)
B)
(x, y) → (x – 5, y – 1)
C)
(x, y) → (x + 5, y – 1)
D)
(x, y) → (x – 6, y – 1)
Answers
Answer:
D
Step-by-step explanation:
To get from ΔXYZ (the figure on the right) to ΔX′Y′Z′ (the figure on the left), each point is translated left 6 units and down 1.
Movement left and right is related to the x-axis. So moving 6 units left (in a negative direction) is x - 6.
Movement up and down is related to the y-axis. So going down (in the negative direction) is y - 1.
what is x? 60 or 100
Answers
Help me please lolll
Answers
Answer:
2.423
Step-by-step explanation:
Surface that is not water: 5.1 - 3.61 = 1.49
How many times water is bigger than not water: 3.61/1.49 = 2.423
Please help I need to do this for e test ahhhh
Answers
Find the value of x.
Answers
72=4x
x=18
72=4x
x=18
hope this helps
A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number less than 10 is selected? Enter your answer as a fraction, in simplest form, in the box. P(< 10) = Question 3 options: 59 49 29 89
Answers
Answer:
4/9
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Probability the number is less than 10 = total numbers less than 10 / sum of numbers
4/9
Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If the disc is equally likely to land anywhere on the board, what is the probability that she will succeed? Explain
Answers
Answer:
Her probability of success is 1/2
Step-by-step explanation:
Firstly, we have to calculate the area of the entire board
That would be the rectangle of the measure 50 cm by 40 cm
We have the area as the product of this two
That would be 50 * 40 = 2,000 cm^2
Now, the value calculated is the area of the entire possible landing area
Secondly, we need to get the area that counts as a success
that would be the area of the triangle that has a base of 50 cm and a height of 40 cm
The area of this is the product of the two divided by 2
we have this as ;
50 * 40 * 1/2 = 1,000 cm^2
So, her probability of success is simply the area of the triangle divided by the area of the rectangle
= 1000/2000 = 1/2
An air traffic controller at an airport sights a plane at an angle of elevation of 28º.
The pilot reports that the plane's altitude is 4500 feet.
To the nearest foot, what is the distance from the control tower to the plane?
3190 ft
8463 ft
2113 ft
9585 ft
Answers
Answer:
8463 feets
Step-by-step explanation:
Using the diagram attached :
Distance of control tower to plane = d
Using tro:
Tan θ = opposite / Adjacent
Tan 28 = 4500 / d
0.5317094 = 4500 / d
0.5317094d = 4500
d = 4500 / 0.5317094
d = 8463.2690
How do you do rise over run
Answers
Answer:
Rise over Run is another term for the slope
Step-by-step explanation:
to find the slope, (y2 - y1)/(x2 - x1)
Answer:
If you look at a graph, you see 2 lines forming a "plus" shape. The horizontal line is called the x-axis, and the verticle line is called the y-axis. Rise over run is how much the y changes when the x changes. So if the graph increases its y value by 2 each time the x increases by 1, then rise over run is 2.
A math test has 25 multiple choice questions. Each question has 4 possible answers.
Which is the best way to simulate getting a 100% on this test?
Answers
GET THEM ALL RIGHT!?