In a survey of 900 students in a school, it was found that 600 students liked tea, 500 liked coffee, and 125 did not like both drinks.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the number of students who like both drinks.
(iii) Find the number of students who like one of these drinks only.
Answers
A) The number of students who like both drinks is 325.
B) The number of students who like one of these drinks only. 275
What is venn diagram?A Venn diagram is used to visually represent the differences and the similarities between two concepts.
Total students= 900
students like tea=600
students like coffee=500
Students did not like both drinks=125
Students who both or any one of the drinks= 900-125=725
Now,
students like both drinks= 600+500-725
= 325
Hence, the number of students who like both drinks is 325.
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Related Questions
Bill gets a raise of 10% in his salary find the original salary if his salary after the raise is 4510
Answers
The cost of 4 sweatshirts and 10 pairs of shorts is $188. The cost of 9 sweatshirts and 12 pairs of shorts is $276.
Enter the cost of one sweatshirt and one pair of shorts in the response boxes
Answers
Answer: The cost of one sweatshirt is $12 and the cost of one short is $14
Step-by-step explanation:
x= sweat shirt cost
y= shorts cost
4x + 10y = 188
9x+2y=276
x= 12, y=14
Write 1/2 as a percent.use repeating decimals when necessary.
Answers
Answer:
50%
Step-by-step explanation:
1 / 2 = 0.5
to turn a decimal to a percent you multiply it by 100
0.5 x 100 = 50%
this was my question people! sorry but please help!!!
Answers
Answer:
D. 39
Step-by-step explanation:
1. Anytime you see x, replace it with 3: [tex]3^3+3^2+3[/tex]
2. You can plug this into a calculator or do it manually. [tex]3^3=27, 3^2=9\\[/tex]
3. Now add it all together: 27+9+3=39.
4. D is the answer
Answer:
d) 39
Step-by-step explanation:
Given that,
→ x = 3
Let's solve the problem,
→ x³ + x² + x
→ (3)³ + (3)² + 3
→ 27 + 9 + 3
→ 39 {option d}
Hence, the solution is 39.
6. A house painter mixed 2 gal of white paint for every 8 gal of red paint to make pink paint. Which ratio of white paint to red paint will make the same shade of pink?
a) 8 to 20
b) 12 to 45
c) 6 to 24
d) 2 to 40
Answers
Answer:
c
Step-by-step explanation:
the ratio is 2/8.
2/8 = 1/4.
a)
8/20 = 2/5 is NOT equal to 1/4.
b)
12/45 = 4/15 is NOT equal to 1/4
c)
6/24 = 1/4 perfect
d)
2/40 = 1/20 is NOT equal to 1/4
Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.
Answers
Using an inverse rule of three, it is found that Bobby needs to call 18 more people.
What will be the number of friends?This question is solved by proportions, applying a rule of three.The number of people working and the time needed to complete the work are inversely proportional, as more people means less time, thus, instead of cross multiplication, we multiply the lines, which is an inverse rule of three.When Bobby's parents call, with 9 people, they will need 6 hours to finish the job. How many people are needed to finish the job in 2 hours?
The rule of three is:
9 people - 6 hours
x people - 2 hours.
Multiplying by line:
2x = 6 x 9
x = 3 x 9
x = 27
Already has 9 people, in total needs 97, so he needs to call 27 - 9 = 18 more people.
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HEEEEEEEEEEEEEEEEEEEEEEEEEEELP!
Answers
Answer: It's a 180 degree angle.
Step-by-step explanation:
simplify this expression
6x -8y -5x + 3y
Answers
Answer:
x-5y
Step-by-step explanation:
combine the X's and Y's
x-5y
Answer= x-5y
When Debbie finished page 78, she was ; of the way through her book. (a) How many pages are in her book? (b) How many pages does she have left to read?
Answers
Answer: Book has 130 Pages, pages left 52
Step-by-step explanation:
If 3/5 = 78 pages
5/5 = 78/3 ×5/1 = 390/ 3 = 130 pages
Pages left is 130- 78 = 52 Pages
Verify and name the property used
-117 × 251 + (-117) × 249
Answers
Answer:
- 177 × 251 + ( -117) × 249 = 1294291791Step-by-step explanation:
HOPE ITS HELPPLease Help me its a math question Is the function represented by the following table linear, quadratic or exponential?
Answers
Answer:
Exponential
Step-by-step explanation:
From the table :
3⁰ = 13¹ = 33² = 93³ = 273⁴ = 81Hence, the function is :
y = 3ˣAs the x-value is an exponential value, the function is exponential
Is the function represented by the following table linear, quadratic or exponential?
Linear
Quadratic
ExponentialExplanation:
Find a factor pair of 80 that has a sum of 21.
Answers
Answer:
16 and 5
Step-by-step explanation:
Hope that helps! :)
Determine the identity and show all steps: 1-sen^2x/1+senx=-1/cscx
Answers
The solution to the trigonometry identity is -sin^2(x) + sin(x) + 1 = -sin(x)
What is sine and the cosecant trigonometry function?In trigonometry functions, the cosecant(csc) appears to be the reciprocal of the sine function.
The trigonometry formula for sine is = opposite/hypotenuse,Thus the cosecant(csc) will be hypotenuse/opposite.Given that:
[tex]\mathbf{1- \dfrac{sin^2(x)}{1}+sin(x)=\dfrac{-1}{csc(x)}}[/tex]
[tex]\mathbf{- \dfrac{sin^2(x)}{1}+sin(x)=\dfrac{-1}{csc(x)}}[/tex]
[tex]\mathbf{- \dfrac{sin^2(x)}{2}+sin(x)+ \dfrac{cos^2x}{2}+\dfrac{1}{2}=-sin(x)}[/tex]
[tex]\mathbf{- sin^2(x)+sin(x)+1 = -sin (x)}[/tex]
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jason needs an 75% average in his writing class to pass. on his first 4 exams, he earned scores of 68%,72%,85% and 90% what is the minimum score Jason can earn on his fifth and final test to pass??
Answers
Answer:
71%
Step-by-step explanation:
Here´s how I do average scores
68 to 90
the difference in the numbers is =
90 - 68 (just a tip, subtract the highest number from the lowest number) =
22/2 will give you 11 and the reason I do this is to compare all the other numbers
11 + 68 or 90 - 11 =
79
72 to 85
85 - 72
13/2 = 6.5
72 + 6.5 or 85 - 6.5
78.5
since grades are rounded to the nearest tenth
79 - 79
79%
so he needs a 75% average to pass
79 - 75 = 4
75 - 4 = 71
The minimum score is 71%
when the number in pattern H is 48 what is the corresponding term in pattern G
Answers
Answer:
explain it better please
Help pls i cant get bad grades!!!!!!!!!
Answers
Answer:
bread
Step-by-step explanation:
If you get bad grades study :v
3x - 5y = 4
5x + y = 16
determine the y-coordinate of the solution of the system
Answers
Answer:
y= 1
3(3) - 5(1) = 4
9 - 5 = 4
5(3) + 1 = 16
15 + 1 = 16
Answer:
please see photo belowabove for detailed explanation
Step-by-step explanation:
What can be said about the velocities of two cars that are both going 60 mph heading in opposite directions?
Answers
Answer:
0
Step-by-step explanation:
because they are heading in the same direction
What features would need to be included on a scatter plot so that the data can be easily analyzed?
Answers
The following are the features of a scatter plot:
1. An X axis also known as the horizontal axis), and a Y axis which is also known as the vertical axis.The reason for these two axes is to obtain the Cartesian coordinates of the two variables X and Y.
2. Dots: There are must be dots on a scatter graph. The purpose of each of the dots is to indicate one observation of the data set.
3. Unique position of each dot: The purpose of the position of each dot is to indicate the meeting point of X and Y values.
Use for questions 21-24: Out of 50 students, 24 are taking art and 30 are taking music. Sixteen of the
students are taking both art and music. If two different students from this group are chosen at
random, find each probability.
21. Both students take art
22. Both students take both art and music.
23. Both students take music, but not art.
24. Neither students takes music.
Answers
Probability of each case given in the problem will be 0.3327, 0.1033, 0.0922, 0.3367 respectively.
What does probabilty of occurance of an event signifies?The probability of an occurrence is an indicator of its likelihood. It is most frequently described as a number between 0 and 1, where 0 indicates an impossibility and 1 indicates assurance.
If an event has a higher probability, it is more likely to happen. One can use various mathematical methods or, depending on the situation, divide the number of favourable possibilities by the total number of potential outcomes to calculate the likelihood of an event.
Now for given cases in the problem,
21. Chances that both pupils will enrol in art: divided by the total number of ways there are to select two students from the full group of 50 students, the number of ways to select two students from the 24 art students is equal to= [tex]^{24}C_2 / ^{50}C_2=(\frac{24!}{22!.2!})/(\frac{50!}{48!.2!} )= \frac{24*23}{2} /\frac{50*49}{2} =0.3327[/tex]
22. Chance that both pupils would study music and art: the number of options there are to select two students from the 16 students who are studying both art and music divided by the total number of methods there are to select two students from the 50 students.= [tex]^{16}C_2 / ^{50}C_2=(\frac{16!}{14!.2!})/(\frac{50!}{48!.2!} )=\frac{16*15}{2} /\frac{50*49}{2} =0.1033[/tex]
23. Probability that both students take music but not art is calculated by dividing the total number of possibilities there are to select two students from the 50 students by the number of students in the group of 14 who only take music= [tex]^{14}C_2 / ^{50}C_2=(\frac{14!}{12!.2!})/(\frac{50!}{48!.2!} )= \frac{14*13}{2} /\frac{50*49}{2} =0.0922[/tex]
24. The likelihood that neither student studies music is determined by the number of ways there are to select two students from the 26 students who do not study music divided by the total number of ways there are to select two students from the complete group of 50 students. = [tex]^{26}C_2 / ^{50}C_2= (\frac{26!}{24!.2!})/(\frac{50!}{48!.2!})=\frac{26*25}{2} /\frac{50*49}{2} = 0.3367[/tex]
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The height of an object launched into the air can be modeled by the graph shown.
Enter your answer as a number, like this: 42
Answers
The maximum height reached by the object is 12.5 feet.
Describe Parabola?The vertex of a parabola is the point where the curve changes direction, and is located at the minimum or maximum point of the quadratic equation. If the coefficient of the x² term is positive, the parabola opens upwards and the vertex represents a minimum value. If the coefficient is negative, the parabola opens downwards and the vertex represents a maximum value.
To find the maximum height reached by the object, we need to find the vertex of the parabola.
The x-coordinate of the vertex can be found using the formula x = -b/2a, where a is the coefficient of the x² term, and b is the coefficient of the x term in the quadratic equation that represents the parabola.
In this case, the equation is of the form y = ax² + bx + c, where y is the height and x is the time. Using the given coordinates, we can set up a system of equations to solve for a, b, and c:
0 = a(1)² + b(1) + c
16 = a(5)² + b(5) + c
0 = a(9)² + b(9) + c
Simplifying each equation, we get:
a + b + c = 0
25a + 5b + c = 16
81a + 9b + c = 0
Solving for c in the first equation, we get c = -a - b. Substituting this into the other two equations, we get:
25a + 5b - a - b = 16
81a + 9b - a - b = 0
Simplifying these equations, we get:
24a + 4b = 16
80a + 8b = 0
Solving for b in the second equation, we get b = -10a. Substituting this into the first equation, we get:
24a + 4(-10a) = 16
4a = 2
a = 1/2
Substituting this value of a into the equation b = -10a, we get b = -5. Finally, substituting a, b, and c = -a - b into the equation for the x-coordinate of the vertex, we get:
x = -b/2a = 5
So the maximum height is achieved at time x = 5, which corresponds to a height of:
y = ax² + bx + c = (1/2)(5)² - 5(5) = -12.5
However, we are looking for the maximum height, so we take the absolute value of this result, which gives:
|y| = 12.5
Therefore, the maximum height reached by the object is 12.5 feet.
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Mixed Applications
Write an equation using the variable n. Then solve and check the solution.
42) If a number, n, divided by 8 equals 2.5, what is n?
43) The sum of a number, n, and 6.05 is 12.4. What is n?
44) Stacy is one-fourth as old as her mother. If Stacy's mother is
36, how old is Stacy?
45) One-third of a painting job takes 24 hours. How long will it take to finish the entire job?
Number Sense: Estimation
Use compatible numbers to estimate the solution.
46) 6b = 110
47) 4n = 159
48) 14/x = 5
Answers
The solution to the given question will be:-
A) If a number, n, divided by 8 equals 2.5, what is n: n = 20
B) The sum of a number, n, and 6.05 is 12.4. What is n: n = 6.35
C) Stacy is one-fourth as old as her mother. If Stacy's mother is
36, how old is Stacy: 9 years
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
A) If a number, n, divided by 8 equals 2.5, what is n?
n / 8 = 2.5
n = 8 x 2.5 = 20
B) The sum of a number, n, and 6.05 is 12.4. What is n?
n + 6.05 = 12.4
n = 12.4 - 6.05 = 6.35
C) Stacy is one-fourth as old as her mother. If Stacy's mother is
36, how old is Stacy?
(1 / 4) M[tex]_{age}[/tex] = S[tex]_{age}[/tex]
S[tex]_{age}[/tex] = ( 36 / 4)
S[tex]_{age}[/tex] = 9 years
Therfore the answers are n = 20 ,n = 6.35, S[tex]_{age}[/tex] = 9 years
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15 km is esitamated to how many mi?
Answers
Answer:
9 miles
Divide by 1.6
2.
You draw five cards from a standard deck of 52 cards. P(heart) =
5
of probability is illustrated and why?
(1 point)
What type
Answers
Step-by-step explanation:
Prob. of at least one heart when drawing 5 cards from a full deck
= 1 - prob(no hearts at all)
= 1 - C(39,5) / C(52,5)
= .7785
Examine the following sequence 1, 4, 9, 16, 25.... Why is 36 the next number in the sequence? Because the pattern is
a. Add the next even number
C. Cube the number of the term, n
b. Square the number of the term, n
d.
Add 2 + the number of the term, n
Please select the best answer from the choices provided
A
B
0000
C
D
Save and Exit
Next
Subaut
Mark this and retum
Answers
Answer:
B. Square the number of the term, n
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
etc.
What is the equation of this line in standard form?
Answers
Based on the calculations, the equation of this line in standard form is equal to 6x - 11y = 13.
Given the following data:
Points on x-axis = (1 1/2, -4) = (1.5, -4).Points on y-axis = (2, -1).How to calculate an equation of a line?Mathematically, the equation of a line in standard form is given by this formula:
y - y₁ = m(x - x₁)
Where:
m is the slope.y is the point on the horizontal axis.x is the point on the vertical axis.Next, we would determine the slope of this line:
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope = \frac{-1\;-\;2}{-4\;-\;1.5}\\\\Slope = \frac{-3}{-5.5}[/tex]
Slope = 6/11.
For the equation of this line, we have:
y - 2) = 6/11(x - 3/2)
y - 2 = 6x/11 - 9/11
11y - 22 = 6x - 9
6x - 11y = -9 + 22
6x - 11y = 13.
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Complete Question:
What is the equation of this line in standard form (1 1/2, 2) (-4, -1)?
Find the two square roots of 121.
Answers
Answer:
11 and -11
Step-by-step explanation:
This problem can really only be solved either by way of a calculator or simple memorization. In this case, the product (121) is a perfect square root, meaning it has a whole number answer. One square root of 121 is 11. The second square root of 121 is -11.
[tex]\sqrt{121} = 11[/tex]
[tex]\sqrt{121} = -11[/tex]
You can check your work by squaring your answer and seeing whether it equals the product. Remember, a negative number times another negative number results in a positive answer.
[tex]11^{2} = 121[/tex]
[tex]-11^{2} = 121[/tex]
The two square roots of the number 121 are 11 and -11.
The square root of a number is a value that, when multiplied by itself, gives the original number.
In the case of 121, the square root represents the number that, when multiplied by itself, equals 121.
The two square roots of 121 are 11 and -11 because both 11 and -11, when squared, result in 121.
When we calculate 11 × 11, we get 121.
So, 11 is one of the square roots of 121.
Similarly, when we calculate (-11) × (-11), we also get 121. So, -11 is also a square root of 121.
Therefore, the two square roots of 121 are 11 and -11.
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whats 9 to the 15th power
Answers
[tex]9^{15} = 3^{30} = 205891132094649[/tex]
What is the area of a square with sides of length 2 1/2 cm?
Answers
The area of the square with the sides 2 1/2 cm will be A=6.25 square cm.
What is the area?The space covered by the square in the two-dimensional plane will be the area of the square. Square actually covers the area with four equal sides.
The formula for the area of the square will be given as:-
A=Side x Side
A= 2 1/2 x2 1/2
A=5/2x5/2
A=2.5x2.5
A= 6.25 square cm
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Item 5
What is the correct classification for ∠JML?
obtuse
straight
right
acute
Ray M J and Ray M L are connected at point P, forming angle J M L. A ray M K sharing the same point forms a bisector. A ray M H also sharing the same point from the diagonally down from the right. The angle J M K measure 41 degrees and angle L M H measure 132 degrees.
Answers
∠JML is a right angle. The correct option is your third option- right
Determine the types of anglesThere are different types of angles which include
Acute: An acute angle is less than 90°Obtuse: An obtuse an angle is greater than 90° but less than 180° Straight: A straight angle equals 180° Right: A right angle equals 90°In the given diagram, we can observe that ∠JML equals 90°
Hence, ∠JML is a right angle. The correct option is your third option- right
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