Fifty people are surveyed at a state fair. Of the 50 people, 30 like funnel cake and 25 like fried oreos. Twenty people like both funnel cakes and fried oreos. Use a Venn Diagram to organize the data and answer the questions. How many people like either funnel cake or fried oreos?
Answers
55
When using a Venn diagram to determine how many people like either funnel cake or fried Oreos out of a survey of 50, after subtracting the 20-person overlap from each individual preference to avoid double counting, the total number liking either is found to be 35 people.
To determine how many people like either funnel cake or fried Oreos, we need to use the concept of set union from Venn diagrams. First, we draw two overlapping circles, one for people who like funnel cake and another for those who like fried Oreos.
The overlapping area represents people who like both. Given that 30 people like funnel cake and 25 like fried Oreos, with a 20-person overlap liking both, we add the individual preferences and subtract the overlap to avoid double counting.
The representation is:
Number liking funnel cake only: 30 - 20 = 10
Number liking fried Oreos only: 25 - 20 = 5
Number liking both: 20
Adding these, the total number liking either funnel cake or fried Oreos is 10 + 5 + 20 = 35 people.
Related Questions
What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?
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Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C? Enter your answer in the box.
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Answer:
[tex]m<C=62\°[/tex]
Step-by-step explanation:
we know that
In an inscribed quadrilateral opposite angles are supplementary
so
In this problem
[tex]m<D+m<B=180\°[/tex]
[tex]m<C+m<A=180\°[/tex]
step 1
Find the value of x
[tex]m<D+m<B=180\°[/tex]
substitute the values and solve for x
[tex](x+20)\°+(3x)\°=180\°[/tex]
[tex]4x=180\°-20\°[/tex]
[tex]x=160\°/4=40\°[/tex]
step 2
Find the measure of angle A
[tex]m<A=(2x+38)\°=2(40\°)+38\°=118\°[/tex]
step 3
Find the measure of angle C
[tex]m<C+m<A=180\°[/tex]
substitute the values and solve for m<C
[tex]m<C+118\°=180\°[/tex]
[tex]m<C=180\°-118\°=62\°[/tex]
Then in a rectangle the ratio of the width to the length is 4:5 of the rectangle is 45 cm long what is the width
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4:5 is our ratio.
Our new ratio would be 36:45.
The width is 36 cm. Hope it helps! :) If you could vote my answer as the brainiest, that would be awesome! :)
Answer: the answer would be 36:45
Step-by-step explanation: Hope this helps please bore brainlyiest est.
helpppppppppppppppppppp
Answers
You must respect the subtraction of fractions.
Group the terms correctly.
Factor when necessary.
Answer
option 1
See attached graph.
On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.
Select from the drop-down menu to correctly identify the total number of people who visited the museum Friday night.
A total of people visited the natural history museum Friday night.
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The answer is 750 people visited the natural history musem Friday night.
What is the equation of a line that is perpendicular to the line represented by y = 3/4 x - 1/2?
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A line with a y-intercept of zero will do.
.. y = (-4/3)x
The tables below show two functions. For each set of data:
a) Determine whether the data represents a linear function, exponential function or neither and explain why.
x f(x)
-2 18
-1 22
0 26
1 30
2 34
x g(x)
-2 2
-1 4
0 8
1 16
2 32
Rubric:
Points Concept Addressed
/2 Correctly determines whether each table represents linear, exponential or neither
/2 Correctly explains their answer.
Answers
(between the first two points): m = (y₂ - y₁)/(x₂ - x₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4. The rate of change between any two points is the same:
(between the last two points): m = (34-30)/(2-1) = 4/1 = 4.
The second table, representing g(x), is exponential. The data points are multiplied by the same constant between successive points. 2*2 = 4; 4*2= 8; 8*2 = 16, etc.
BRIANLIESTTTTTTTTTTTT ASAP!
Answers
What is 38.224 rounded to the nearest whole number?
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Here is your answer:
The proper answer to this question is "39".
8 is greater than 5 therefore it rounds up one.
Your answer is 39.
If you need anymore help feel free to ask me!
Hope this helps!
Select all of the following that are quadratic equations.
7x2 + 14x = 0
x3 - 3x2 + 1 = 0
5x - 7 = 0
x2 + 3x -5 = 0
x - 5 = 9x + 7
x2 - x = 3x + 7
Answers
[tex]7x^2+14x=0[/tex] is quadratic; the highest exponent is 2.
x³-3x²+1=0 is NOT quadratic. The highest exponent of x is 3, not 2.
5x-7=0 is NOT quadratic. The highest exponent of x is 1, not 2.
x²+3x-5=0 is quadratic; the highest exponent of x is 2.
x-5=9x+7 is NOT quadratic. The highest exponent of x is 1, not 2.
x²-x=3x+7 is quadratic; the highest exponent of x is 2.
If your front lawn is 15.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1450 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 1.70 mg.
.. ......
it's my first college chm and I forgot how to do such word problems, would you help me please, thank you
Answers
(15.0 ft) x (20.0 ft) = 300. ft^2
Now find how many snow flakes land in the entire lawn.
(300. ft^2) x (1450 snow flakes/min/ft^2) = 435,000 snow flakes/min
Now find the total mass of snow landing on the lawn per hour.
(435,000 snow flakes/min) x (1.70 mg/snow flake) x (1 kg/1,000,000 mg) x (60 min/1hour) = 44.4 kg of snow per hour.
the area of a trapezoid is 72.8 square feet. the length of one of its bases is 7.4 feet and the length of its other base is 10.8 feet. what is the height of the trapezoid?
Answers
The price of a gallon of unleaded gas has dropped to $2.81 today. yesterday's price was $2.88 . find the percentage decrease. round your answer to the nearest tenth of a percent.
Answers
The percentage decrease is approximately -2.4%.
To find the percentage decrease in price, we can use the formula:
Percentage decrease = ((New price - Old price) / Old price) * 100
Using the given information, we substitute the values into the formula:
Percentage decrease = ((2.81 - 2.88) / 2.88) * 100
Simplifying the expression, we get:
Percentage decrease = (-0.07 / 2.88) * 100
Converting to a decimal and multiplying by 100, we find:
Percentage decrease = -0.0243 * 100 = -2.43%
Rounding to the nearest tenth of a percent, the percentage decrease is approximately -2.4%.
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Answer for function
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look at the picture below // 99 points // PLEASEE HELPP
Answers
•The correct answer is letter D, Yes, the opposite sides are parallel, and all sides are the same length.
A theater has 1200 seats. each row has 20 seats. write and solve an equation to find the number xx of rows in the theater. an equation that represents this problem is =1200=1200. there are rows in the theater.
Answers
Answer:
The equation is 20x = 1200
x=1200÷20
x=60 rows
Step-by-step explanation:
The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume of 105 cm 3 is 30º C. What will be the temperature of the gas when it is compressed to a volume of 84 cm 3? 18.8º C 48º C 24º C 37.5º C
Answers
if the temperature T of a given mass of gas varies inversely with its volume V
then
T=k/V
Step 1
Find the value of k
for T=30º C and V=105 cm³
we have
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³
therefore
for V=84 cm³
T=3150/84=37.5 °C
the answer is 37.5 °C
Final answer:
The temperature of a gas can be calculated using the formula for inverse variation, which is T1*V1 = T2*V2. By substituting the given values into the formula, we can find that the temperature of the gas when it is compressed to a volume of 84 cm^3 is 37.5ºC.
Explanation:
To solve this problem, we can use the formula for inverse variation:
T1*V1 = T2*V2
Given that T1 = 30ºC, V1 = 105 cm^3, and V2 = 84 cm^3, we can solve for T2:
T2 = (T1*V1)/V2 = (30*105)/84 = 37.5ºC
Therefore, the temperature of the gas when it is compressed to a volume of 84 cm^3 will be 37.5ºC.
The speed of an object in space is shown in the graph.
What is the slope of the line?
10
15
20
25
Answers
= 15
the slope of the line = 15
the answer is B.
Answer:
Option B is correct
15
Step-by-step explanation:
Formula for slope is given by:
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
As per the statement:
Form the graph:
Consider two points:
(0.2, 3) and (0.4, 6)
then;
[tex]\text{Slope} = \frac{6-3}{0.4-0.2}[/tex]
⇒[tex]\text{Slope} = \frac{3}{0.2}[/tex]
⇒[tex]\text{Slope}= 15[/tex]
Therefore, the slope of the line is, 15
Sam picked a card from a standard deck. what is the probability that sam picked a heart or a king? one over thirteen sixteen over fifty two
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Rowan raised $640 In a charity walk last year.this year he raised 15% more than he raised last year. How much money did Rowan raise this year?
Answers
1.15 × $640 = $736
The sum of two integers is 26. The larger of the two integer is 2 more than 3 times the smaller integer
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i think this is the answer i forgot this but this is so easy.
sum of two integers (x+y) = 26
x = 2 + 3y
plug that into equation above:
x + y = 26
(2+3y)+y = 26
4y +2-2 = 26-2
4y = 24
4y/4 = 24/4
y = 6
x = 2 + 3y = 2 + 18 = 20
FAST HELP!! 30 POINTS!!!
what type of solutions do the methods for solving systems of equations find and how does this relate to setting the equations equal to each other
Answers
Final answer:
Explanation of solutions for systems of equations and how setting equations equal to each other helps find solutions.
Explanation:
Solutions for systems of equations can be classified as unique, no solution, or infinitely many solutions. The method of setting equations equal to each other typically helps find the intersection points where the equations are simultaneously true, representing the solution to the system.
What effect does replacing x with 6 have on the graph for the function f(x)?
F(x)=|x+3|-2
Answers
Answer:
The graph is shifted left 6 units
Step-by-step explanation:
Hope this helps all in need~!! :3 Have a wonderful day, and remember- You're the best! No one does you quite like you do<3
can you please help me thank you you will be given brainley
Answers
ΔZVY ≅ ΔWVY . . . . . . corresponds to the 2nd selection
Item 14
POSSIBLE POINTS: 5
The total cost of repairing a car is the sum of the amount paid for parts and the amount paid for labor. You paid $132 for parts and $65 for each hour of labor. The total cost to repair the car was $229.50. How many hours did it take to repair the car?
Which equation best models this problem? Let x = number of hours worked
229.5 – 65 = 132x
132x + 65 = 229.5
132 + 65x = 229.5
132 + 65 = 229.50x
Answers
parts + worked hours = total cost
[tex]132+65x=229.5[/tex]
And now that we have our equation from the model, lets solve for [tex]x[/tex] to find how many hours took to the repair the car:
[tex]65x=229.5-132[/tex]
[tex]65x=97.5[/tex]
[tex]x= \frac{97.5}{65} [/tex]
[tex]x=1.5[/tex]
We can conclude that it took 1 and a half hour to repair the car.
What is the set of all possible outcomes of a probability experiment?
Answers
The set of all possible outcomes of a probability experiment is called the sample space. It can be represented as a list, a table, or using set notation.
Explanation:The set of all possible outcomes of a probability experiment is called the sample space. It is denoted by the symbol Ω. The sample space can be represented as a list, a table, or using set notation.
For example, if we are flipping a fair coin, the sample space would be {H, T}, where H represents heads and T represents tails.
In another example, if we were rolling a fair six-sided die, the sample space would be {1, 2, 3, 4, 5, 6}.
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Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of Triangle 1 measuring 52 inches on a side. Next, she paints the outline of Triangle 2 inside the first triangle. The side length of Triangle 2 is 75% of the length of Triangle 1. She continues painting triangles inside triangles using the 75% reduction factor. Which triangle will first have a side length of less than 26 inches?
Answers
It was triangle 4 for my answer. You have different measurements but im sure its possibly the same answer. hope this helps!
If you were offered a job would you choose the one with the pay increase according to an arithmetic sequence formula or a geometric sequence formula? Justify your response.
Answers
Final answer:
For maximizing earning potential over time, a geometric sequence salary increase is typically more beneficial due to exponential growth, while an arithmetic sequence offers steady, predictable increases that may appeal to those who value consistency.
Explanation:
If offered a job with a salary increase tied to either an arithmetic sequence or a geometric sequence, the preferable option typically depends on the long-term financial goals and growth potential you are looking for. An arithmetic sequence will give you steady, predictable increases. However, a geometric sequence formula will often result in larger increases over time, especially if the ratio is 2 or more. Due to the exponential nature of a geometric sequence, your salary could grow significantly faster than with an arithmetic sequence. For example, if you start with a salary of $50,000, and the arithmetic sequence increase is $1,000 each year, after five years you would be earning $55,000. On the other hand, for a geometric sequence with a modest ratio of 1.05 (5% increase each year), you would start at the same $50,000 but after five years be earning approximately $63,814.
Considering this, if your primary goal is to maximize earning potential over time, the geometric sequence would be the more appealing option. However, if you value consistency and predictability in pay increases, or if the progression starts very low, an arithmetic sequence might be more in line with your personal financial planning.
A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x , where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 years?
Answers
[tex]y=55*2^2=55*4=220[/tex]
There will be 220 foxes after 28 years.
Final answer:
To find the fox population after 28 years, we use the function y = 55 × 2^x, with x = 2 because 28 years is two 14-year periods. After calculating 2^2 and multiplying by 55, we find that there will be 220 foxes.
Explanation:
To calculate the number of foxes in a wildlife preserve after 28 years, given that the population doubles every 14 years, we start with the function y = 55 × 2^x, where x represents the number of 14-year periods.
Since 28 years is equivalent to 2 periods of 14 years, we will substitute x with 2:
Write down the equation substituting x with 2: y = 55 × 2^2.Calculate the exponent: 2^2 = 4.Multiply the base population by 4: 55 × 4 = 220.Therefore, after 28 years, there will be 220 foxes in the wildlife preserve.
Carl puts 1.10$ in his penny bank every day in the month of July (31 days). His total savings was 55.00$ at the end of June. What is the best estimate for Carl's savings at the end of July? (no I did not make a typo)
Answers
To estimate Carl's savings at the end of the month, we must round the $1.10 Carl puts in his bank to $1 as it is closest to $1, and then multiply that by the number of days in July (31).
1 × 31 = 31
A N S W E R:
The best estimate for Carl's savings at the end of the month of July is $31.