The number of people who do not like any of the three colour is 5, using the set theory.
What is Set theory?
A subfield of mathematics called set theory studies sets and their characteristics. Set theory's fundamental ideas are straightforward and seem to stand on their own. The set theory appears to be straightforward, but it is actually a very complex topic. Mathematicians have specifically demonstrated how almost all mathematical ideas and conclusions may be formalized within the theory of sets. This is regarded as one of the pinnacles of contemporary mathematics. Given this accomplishment, it is possible to assert that set theory serves as the foundation for mathematics.
In the given question, we have:
Total number of people in the survey = 25;
Number of people like red = 13;
The number of people who like blue = 8;
The number of people who like yellow = 13;
5 people like both Red & Blue,
4 people like both Blue & yellow,
7 people like both Red & Yellow
2 people like all three colors.
Let n be the number of people who do not like any of the three colour.
Using the concept of set theory, we can write it as:
3 + 4 + 1 + 5 + 2 + 3 + 2 + n = 25;
⇒20 + n = 25;
n = 25 - 20
n = 5;
Hence, The number of people who do not like any of the three colour is 5;
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The equations that are true for x = –2 and x = 2 include the following:
x² – 4 = 0
4x² = 16
How to determine the true equations?In order to determine which x-values are true solutions based on the given equations, we would have to test each of the x-values by substituting their values into the equations as follows;
When x = -2, we have:
x² – 4 = 0
(-2)² – 4 = 0
4 - 4 = 0 (True).
When x = 2, we have:
x² – 4 = 0
(2)² – 4 = 0
4 - 4 = 0 (True).
When x = -2, we have:
x² = -4
(-2)² = -4
4 = -4 (False).
When x = -2, we have:
3x² + 12 = 0
3(-2)² + 12 = 0
3(4) + 12 = 0
12 + 12 = 0
24 = 0 (False).
When x = -2, we have:
4x² = 16
4(-2)² = 16
4(4) = 16 (True).
When x = 2, we have:
4x² = 16
4(2)² = 16
4(4) = 16 (True).
When x = -2, we have:
2(x – 2)² = 0
2(-2 – 2)² = 0
2(-4)² = 0
2(16) = 0
32 = 0 (False).
When x = 2, we have:
2(x – 2)² = 0
2(2 – 2)² = 0
2(0) = 0 (True).
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Complete Question;
Which equations are true for x = –2 and x = 2? Select two options
x² – 4 = 0
x² = -4
3x² + 12 = 0
4x² = 16
2(x – 2)² = 0
Please help me Thank you :)
Answer:
3
Step-by-step explanation:
y difference is 9 and x difference is 3 so 9/3 = 3
Answer:
slope = 3
Step-by-step explanation:
(2, 7), (5, 16)
(x₁, y₁) (x₂, y₂)
m = slope
y₂ - y₁ 16 - 7 9
m = ------------ = ----------- = ------- = 3
x₂ - x₁ 5 - 2 3
I hope this helps!
In the past, Jessica got paid $197,980 annually. Since switching to a new career, she has been making 35% more. How much does Jessica make now?
$
pwease
Answer:
$267,273
Step-by-step explanation:
197980 + .35(197980)
197980 + 69293
267273
1)if a number is trebled and 10 is subtracted from it and then multiply the result by 5 the answer is 55 what is the number
The number represented in the statement is 7
How to determine the number?The statements in the question can be highlighted as:
A number is trebled10 is subtracted from the resultThe result is then multiplied by 5The final result is 55When represented as an equation, we have
5(3x - 10) = 55
Where x represents the number
Divide both sides by 5
3x - 10 = 11
Add 10 to both sides
3x = 21
Divide by 3
x = 7
Hence, the result is 7
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2. Janet earns money making candles. From every candle she sells, she earns $4.18. How
much money would she earn if she sold 57 candles?
Answer:
$238.26
Step-by-step explanation:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.
What is the standard form of the equation of a circle?The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.
We have given that circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.
Since we know that circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.
Thus, the equation of the circle, with a diameter of 12 units is;
x² + (y - k)² = 6², or,
x² + (y - k)² = 36.
From the given options, the equations x² + (y – 3)² = 36, and x² + (y + 8)² = 36, are correct.
Thus, the equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.
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Mara's age is 5 less than four times Brandy's age. Let x represent Brandy's age, and let y represent Mara's age. Which ordered pair (x, y) makes the equation y = 4x − 5 true?
The ordered pair that made the equation, y = 4x - 5 correct is (5, 15).
How to find ordered pair from a linear equation?Mara's age is 5 less than four times Brandy's age. Let x represent Brandy's age, and let y represent Mara's age.
Therefore, the ages can be represented linearly as follows:
y = 4x - 5
where
x = Brandy's agey = Mara's ageTherefore, the ordered pair (x, y) that makes the equation correct can be computed as follows:
y = 4x - 5
y = 4(5) - 5
y = 20 - 5
y = 15
The ordered pair is (5, 15)
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13. Is the function y = 2x a one-to-one function? Justify your answer.
ation becaus
Answer:
yes
Step-by-step explanation:
every x value will have at lest one y value
Please help!!! Will give Brainliest to the first person that answers!
Answer:
Below
Step-by-step explanation:
m = motorcylce speed
c = car speed = 2m-30
difference in speeds = 2m-30 - m = m-30
in two hours this speed accumulates 20 miles (rate * time = distance)
2 (m-30) = 20
2m - 60 = 20
m = 40 then c = 2m-30 = 50 mph
Which statement about odd functions is correct?
Answer:
at least put the possible answers
Find the area of this parallelogram
Answer:
84unit square
Step-by-step explanation:
how many years do I need the 3
The answer is: " 84 cm² " ; or, write as: " 84 square centimeters."
____
Step-by-step explanation:
Note the formula for the area; "A" ; of a parallelogram—as follows:
A = b * h ;
in which:
A = the Area of this parallelogram given in the attached image;
for which we shall solve; in units of: cm² ;
or, write as: " square centimeters "
→ {since all the measurements shown in the image are in units of:
"cm" ["centimeters"].}
____
b = " base length " = 12 cm {as shown in the image};
____
h = " perpendicular height " = 7 cm {as shown in the image} .
____
To find the area; A :
We plug our given values into the equation/formula:
→ A = b * h ;
= (12 cm) * (7 cm) ;
= 12 * 7 * cm * cm ;
A = 84 cm² .
_____________
Note of interest: The following quadrilaterals are also parallelograms:
squares, rectangles, and rhombuses [or, "rhombi"].
_____________
The answer is: " 84 cm² " ; or, write as: " 84 square centimeters."
___
Hope this is helpful to you.
Wishing you well in your academic endeavors!
___
Model−−−−−: P=2,320(1.2)x
The model is used to estimate the deer population in a region, where x is the number of years after the year 2009. Using the model, estimate the deer population in the year 2018
The population of the deer in year 2018 would be 11971.
Given,
In the question:
The model is used to estimate the deer population in a region, where x is the number of years after the year 2009. Using the model, estimate the deer population in the year 2018
Model is given as:
P = 2,3201 [tex](1.2)^x[/tex]
Now, According to the question:
The number of years from 2009 to 2018 = 9
Here, the equation that shows the deer population after x years since 2009,
P = 2,3201 [tex](1.2)^x[/tex]
Substitute x=9 in the above equation,
P = 2,3201[tex](1.2)^9[/tex]
P = 2320(5.15978)
P ≈ 11971
Hence, the population of the deer in year 2018 would be 11971.
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The vet says that Lena's puppy will grow to be at most 20 inches tall. Lena's puppy Is currently 1 foot tall.
How many more inches will the puppy grow?
Answer:
8 inches
Step-by-step explanation:
1 foot is 12 inches
20 - 12 = n
n = 8
Answer: The correct answer is 8 more inches.
Step-by-step explanation:
The puppys' current height is 12 inches (1 foot)
The vet's advised maximum height is 20 inches
Difference in height = 20 - 12 = 8 inches
A commuter plane can carry 50 people per trip. At least How many times does the plane have to fly in order to carry 25,000 people? Identify the variable and answer the question. Please give details on how to set up problem. Thanks
Answer:
Step-by-step explanation:
First, since 50 people can go per trip and the plane wants to fly a lot of times to carry 25,000 people.
Second, then you have to do 25,000/50
Thirdly, you have to find the awnser
AWNSER=500
A right triangle has a leg length of square root of 6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle.
3
36
square root of 39
square root of 43
The length of the other leg of the right triangle is square root of 43
How to find the length of the other leg of the right triangle?
Given:
A leg length = square root of 6
Hypotenuse length = 7
Let the length of the other leg of the right triangle be y
The diagram of the triangle is as shown in the image attached
Using Pythagoras' theorem:
7² = (√6)² + y²
y² = 7² - (√6)²
y² = 49-6
y² = 43
y = √43
Therefore, the other leg is square root of 43. The 4th option is the angle
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Answer:
D = 43
Step-by-step explanation:
I got it right on my test!
Have a great day everyone:)
Please tell me answer ASAP
Adam has notes of RS.100, RS.50 and RS.10. The ratio of these notes is 2 : 3:5 respectively and the total amount is RS.200,000. Find the number of notes of each kind.
The number of notes of Rs. 100 is 1000, Rs. 50 is 1500, and Rs. 10 is 2500.
The ratio describes the number of times one number contains another. It helps to establish a relationship between two or three quantities.
The ratio between any two quantities is described as a:b. This can also be written as a to b or a/b.
The ratio of RS.100, RS.50, and RS.10 is 2:3:5.
From the given ratio, consider
the number of Rs. 100 is 2xthe number of Rs. 50 is 3xthe number of Rs. 10 is 5x.The total amount is given as RS.200,000. This can be written as,
[tex]\begin{aligned}100\times2x+50\times 3x+10\times5x&=200,000\\200x+150x+50x&=200,000\\400x&=200,000\\x&=\frac{200,000}{400}\\x&=500\end{aligned}[/tex]
Therefore,
the number of Rs. 100 is 2(500) = 1000the number of Rs. 50 is 3(500) = 1500the number of Rs. 10 is 5(500) = 2500To know more about ratios:
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Yellow and red dye are mixed in a 9 : 2 ratio
to make 44 litres of an orange-coloured dye.
A further 8 litres of red dye are added to the
mixture. What is the new ratio of yellow to red
dye in its simplest form?
Answer:
9 : 4
Step-by-step explanation:
Ratio:
Find the quantity of yellow and red dye in the mixture.
Yellow : Red = 9 : 2
Total share = 9 + 2 = 11
[tex]\sf \text{Quantiy of yellow} = \dfrac{9}{11}*44[/tex]
= 9 * 4
= 36 litres
[tex]\sf \text{Quantity of Red}= \dfrac{2}{11}*44[/tex]
= 2 * 4
= 8 litres.
Now, 8 litres of red dye is added.
New quantity of red dye = 8 + 8 = 16 liters.
New ratio of Yellow to red = 36 : 16
= (36÷4) : (16÷4)
= 9 : 4
Jai read 3 books in 2 months. What was his rate of reading in books per month
Jai rate of reading in books per month is 1.5 books per month.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
In this case, Jai read 3 books in 2 month, his rate of reading in books per month will be:
= Number of books / Number of months
= 3 / 2
= 1.5 books per month
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Which of the following shows an example of the identity property of 0?
O 3.5+ 3.5 = 7
○ 4.8+(-4.8) = 0
O 0+ (8.2) = -8.2
O-1.6+ 3.2 = 1.6
The length of the rectangular lot is 25 ft longer than twice the width. If the perimeter of the lot cannot exceed 350 ft, what is the greatest width possible?
The greatest width possible in line is 0.8.
What is line?
a line is an infinitely long to the object with no width, depth, or curvature. Thus, the lines are the one of one-dimensional objects, though they may exist on it two, three, or higher of the dimension spaces. The word line may also refer to a line are the segment in everyday life, which has two points to denote its ends.
Sol-As per the given question The line r has slope 8 and coordinate (0.8).
The slope of the line r will not change.
And intercept is the addition of their ordinate will be.
Intercept = 5+3
Intercept = 8
So, the line r has slope 8 and coordinate (0.8).
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A fruit punch has a ratio of 2 cups of powder mix for every 5 gallons of
water.
Represent the ratio relationship using a graph.
How many cups of powder mix are used with 9 gallons of water?
HELLLLPSSS PLEASE LAST SECOND
Answer:
3.6 cups
Step-by-step explanation:
We have to make a proportion to solve this.
[tex]\frac{2cups}{5 gallons}[/tex] = [tex]\frac{x cups }{9 gallons}[/tex]
9 x 2 = 18
18 / 5 = 3.6.
Answer any of these two! If you can answer both I could possibly give you brain^^ THANK YOU
Answer:
12. [tex]\frac{1}{z^{2} }[/tex]
13. x⁶
Step-by-step explanation:
*Note: When multiplying two of the same variables you add the exponents. When dividing two of the same variables you subtract the exponents. When a variable to a power is raised to another power you multiply the exponents.
[tex](z^{6} z^{-5} )^{-2}[/tex]= [tex](z^{6+(-5)} )^{-2}[/tex]= [tex](z^{6-5} )^{-2}[/tex]= [tex](z^{1}) ^{-2}[/tex]= [tex]z^{1*-2}[/tex]= [tex]z^{-2}[/tex]= [tex]\frac{1}{z^{2} }[/tex]*Note: When there is a negative exponent the whole term is flipped (the reciprocal of the term).[tex]\frac{1}{x^{-6} }[/tex]= x⁶Given m||n, find the value of x.
Answer:
x = 17
Step-by-step explanation:
(5x - 23) and (7x - 1) are same- side interior angles and sum to 180° , so
5x - 23 + 7x - 1 = 180
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $36, otherwise, you lose $30. What is your expected value for the game?
UP FOR THE CHALLENGE?! PLEASE HELP!
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 110.5° is added to the data, how does the mean change and by how much?
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 101° is added to the data, how does the mean change?
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 71° is changed to 93°, which of the following measures changes the most and what is the new value?
Answer:50%
Step-by-step explanation:
Find the value of Z such that 0.13 of the area lies to the right of Z
Answer:
the answer will be : 1.13
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer:
10
Step-by-step explanation:
I guess your question is
[tex] {(x - 3)}^{2} = 49[/tex]
[tex]x \: - 3 = \sqrt{49} \\ x - 3 = 7 \\ x = 7 + 3 \\ x = 10[/tex]
Write equations for a pair of perpendicular lines that intersect at the point at (-3, -7)
Equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :
( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )
As given in the question,
Pair of equations that are perpendicular to each other and intersect at point ( -3 , -7 ) are as follow:
let us consider slope of perpendicular lines are m₁ and m₂.
Product of the slope of perpendicular lines = -1
⇒ m₁ × m₂ = -1
⇒ m₂ = -1 / m₁
Pair of perpendicular intersect at point ( -3 , -7 ) .
Required equation of perpendicular lines is given by :
For line 1:
( y - (-7)) / ( x - (-3) ) = m₁
⇒ y + 7 = m₁ (x+3)
For line 2:
( y - (-7)) / ( x - (-3) ) = m₂
⇒ y + 7 = m₂( x+ 3)
⇒ y + 7 = -1 / m₁ ( x+ 3)
Therefore, equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :
( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )
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Carlos is making goodie bags for a party. Every goodie bag has exactly the same treats in it. Carlos has 96 granola bars and 48 small popcorn balls. What is the greatest umber of identical goodie bags Carlos can make? How many of each kind of treat is in each goodie bag?
The greatest number of identical goodie bags Carlos can make is 48.
Therefore will be 2 granola bars and 1 popcorn balls in each bag.
How to calculate the value?From the information, Carlos is making goodie bags for a party and every goodie bag has exactly the same treats in it.
Carlos has 96 granola bars and 48 small popcorn balls. It should be noted that the greatest common factor between 96 and 48 is 48.
Therefore, granola bars will be:
= 96/48
= 2 in each bag
Popcorn will be:
= 48/48
= 1 in each bag.
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PLEASE HELP ASAP I ONLY HAVE 2 ATEMPTS LEFT
Make sure your answers are in slope intercept form (y=mx+b). NO SPACES, negatives are ALWAYS displayed in for of your number (ex: -1/2). ALWAYS SIMPLIFY!
You have made 8 of 10 attempts. You have 2 attempts remaining.
Answer:
y=-3/5x+1
Step-by-step explanation:
we use slope formula y2-y1/x2-x1
4-1/-5-0
3/-5
-3/5
Is the slope
The y intercept is 1
So we write like this
y=-3/5x+1
Hopes this helps please mark brainliest