A class of 24 students was asked to identify a team sport in which they have participated. Their responses are shown in the line plot.
ty <3
Answers
b) The number of students polled is 24.
c) One or more students must have participated in more than 1 sport, that would explain why there was a higher number of sport participation than students.
a) The total responses recorded from the line plot is n = 28 responses
b) The number of students polled = 24 students
c) The fact that there were more responses than students polled suggests that one or more students engaged in more than one sport.
What is a line plot ?A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.
If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions
It displays information as a series of data points called 'markers' connected by straight line segments
Given data ,
Let the line plot be represented as A
Now , the total number of students in the class = 24 students
So , the total number of polls = 24 students
The total number of responses recorded from the points on the line plot is give by
The number of responses for football = 4
The number of responses for soccer = 8
The number of responses for baseball = 7
The number of responses for basketball = 5
The number of responses for football = 4
The total number of responses recorded from the points on the line plot is n = 28
Given that there were more replies than students asked, it is likely that some students participated in several sports.
Hence , the line plot is solved
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Related Questions
What is the approximate surface area of a cylinder with a height of 12 meters and a base radius of 2 meters?
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Word form: 2(area of base) + (circumference of base)(height)
Find the numbers you need to plug in to the formula.
Area of base: [tex] \pi [/tex]2² = 12.57 m²
Circumference of base: 2[tex] \pi [/tex]2 = 12.57 m
Height: 12 m
Plug these numbers in to the formula.
2(12.57) + (12.57)(12) = 175.98
The SA of the cylinder is 175.98 m².
Tara is researching the stork population living in a bird reserve. On her first day, she captures and tags 41 birds. Two weeks later, she captures 57 birds and finds that 48 are not tagged. Estimate the actual number of storks in the bird reserve
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Find a positive angle less than one rotation that is coterminal with –308°.
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Answer:
Step-by-step explanation:
Alright, lets get started.
We are given an angle -308 degrees.
A co-terminal angle is an angle which shares the same terminal side of the angle given.
We are asked to find its positive co-terminal angle.
When we find positive co-terminal angle, we add 360 degrees in given angle, so
positive co-terminal angle is : [tex]-308+360=52[/tex]
So, the answer is 52 degree. : Answer
Hope it will help :)
A circular pizza has a diameter 10cm.what is the approximate area of the pizza?(use pi=3)
Answers
Circle Formula for Area= πr^2
C= πr^2
= (3)(5)^2
square 5; when squaring, multiply the number by itself one time
= 3(5*5)
= 3(25)
= 75 cm^2
ANSWER: The approximate area is 75cm^2 (using 3 for π).
Hope this helps! :)
Art mows 1/8 acre in 1/4 hour. hOw many acres does art mow per hour
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First you have to find what you multiply the unit rate to get 1 hour
1 / 4 * 4 = 1
Now you multiply what you that by how much he mows
1 / 8 * 4 = 4 / 8 or 0.5
He mows 0.5 acres an hour
The answer is 4 / 8 or 0.5
Hope this helps!
Multiply by 4 on both sides:
1 hour → 1/8 x 4 = 1/2 acre.
Answer: 1/2 Acre
A student attempted to generate an equivalent expression using the distributive property, as shown below:
6(m + 3) = 6m + 3
What was the mistake made?
A. 6 was not multiplied by m
B. Incorrect sign was used for the first term
C. Incorrect sign was used for the second term
D. 6 was not multiplied by 3
Answers
6 wasnt multiplied by 3.
the expression should look like this "6m+18"
The Distributive Property: a(b + c) = ab + ac.
To find an equivalent expression to 6(m + 3) using the Distributive Property, multiply 6 by each term inside the parentheses.
6 · m = 6m
6 · 3 = 18
The expression becomes 6m + 18.
The error the student made was not multiplying 6 by 3.
Answer:
6 was not multiplied by 3 (the last option).
find the value of x and then classify the triangles
Answers
Answer:
6) x = 16°, scalene triangle
7) x = 45°, right triangle
Explanation:
The sum of all angles within a triangle is 180 degrees so if given two angles, we can set up an equation to solve for the missing third angle.
For question 6, our equation is 39 + 125 + x = 180. Let's solve and then classify:
39 + 125 + x = 180
164 + x = 180
164 - 164 + x = 180 - 164
0 + x = 180 - 164
x = 16
Because no two angles within the triangle have the same measure and no two legs on its edges have the same length, its classification is a scalene triangle.
For question 7, the triangle has a box that indicates one of its known angles is 90 degrees. So our equation is 90 + 45 + x = 180. Let's solve and then classify:
90 + 45 + x = 180
135 + x = 180
135 - 135 + x = 180 - 135
0 + x = 180 - 135
x = 45
Because the triangle contains a right angle indicated by that same box we used to derive that one of the angles measured 90 degrees, we can determine that this classification is a right triangle.
A=12h(b1+b2) solve for b1 please.
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Plus, if you are finding the area
the equation would be like this
A: 1/2 (b1+b2) x 12h
Isolate b1 in the equation A=12h(b1+b2) by first subtracting 12h*b2 from both sides and then divide both sides by 12h. The result is b1 = (A - 12h*b2) / 12h.
Explanation:In order to solve the equation A=12h(b1+b2) for b1, we need to isolate b1. We begin by subtracting the product of 12h times b2 from both sides of the equation. This gives us A-12h(b2) = 12h(b1).
Next, we divide both sides of the equation by 12h to solve for b1, resulting: b1 = (A - 12h*b2) / 12h.
So, if you can determine the values of A, b2, and h from your problem, you can substitute those in to get your solution for b1.
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In Samantha's English class, her current grade is calculated by finding the average of the scores she received on her terms papers. Samantha's last term paper brought her average up to a 91 from an 89, which was her average from the first three. Samantha claims that she scored a 97 on her fourth term paper. Is Samantha's claim true?
Answers
This means, her total scores in first three test were = 3 x 89 = 267
Her average in four tests = 91
This means, her total scores in four tests are = 364
267 give the sum of first three test scores. and 364 give the sum of scores with fourth test adding in three tests.
So, subtracting 267 from 364 will give us the scores of Fourth test.
Scores of Fourth test = 364 - 267 = 97
Thus, Samantha's Claim is correct
6 clients are throwing a party. Each cake serves 24 servings and has a party of 70 +3staff how many cakes are needed?
Answers
To serve 73 people at a party, 4 cakes are needed since each cake serves 24 people and it is not possible to have a fraction of a cake.
Explanation:To determine how many cakes are needed for a party with 70 guests and 3 staff members, we need to calculate the total number of servings required and then divide this by the number of servings each cake provides.
First, we add the number of guests and staff to find the total number of people at the party:
Number of guests: 70Number of staff: 3Total number of people: 70 + 3 = 73Each cake serving is designed to serve 24 people. We divide the total number of people by the number of servings per cake to find out how many cakes are needed:
(Total number of people) ÷ (Servings per cake) = Number of cakes
73 ÷ 24 = 3.04166667
Since you cannot have a fraction of a cake, you need to round up to the next whole number. Therefore, you need 4 cakes to have enough servings for everyone at the party.
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4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.
To determine the number of cakes needed, we must first calculate the divide that number by the number of servings each cake provides.
First, we add the number of guests to the number of staff:
70 guests + 3 staff = 73 people in total.
Next, we need to ensure that each person gets one serving of cake. Since each cake serves 24 servings, we divide the total number of people by the number of servings per cake:
73 people · 24 servings per cake = 3 cakes with some servings left over.
Since we cannot serve a fraction of a cake, we must round up to the nearest whole number to ensure that there are enough servings for everyone. Therefore, we need 4 cakes in total to serve all 73 people at the party.
In conclusion, 4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.
Deja had two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She is going to split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive.
Answers
The required measure of the number of pounds of berries each person would receive is 1.562 pounds.
Given that,
One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
Total number of berries = 3 3 /8 + 2 7/8
= 5 5 /4 = 25 / 4 pounds
Number of people = 4
pounds of berries each people can have,
= 25/ 4 / 4= 25 / 16
= 1.562 pounds
Thus, the required measure of the number of pounds of berries each person would receive is 1.562 pounds.
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When designing a building, you must be sure that the building can withstand hurricane force winds, which have a velocity of 73mi/h or more. The formula f = 0.004av2 gives the force f in pounds exerted by a wind blowing against a flat surface. A is the area of the surface in square feet and v is the wind velocity in miles per hour. How much force is exerted by a wind blowing at 81 mi/h against the side of the building shown?
Answers
To calculate the force exerted by the wind blowing against the side of the building, you can use the formula f = 0.004av², where f is the force, a is the area of the surface, and v is the wind velocity. Given the wind velocity of 81 mi/h, you need to determine the area of the surface to calculate the force.
Explanation:The formula to calculate the force exerted by a wind blowing against a flat surface is given as f = 0.004av², where f is the force in pounds, a is the area of the surface in square feet, and v is the wind velocity in miles per hour.
In this case, we are given that the wind velocity is 81 mi/h. To calculate the force exerted by the wind, we need to know the area of the surface.
Once we have the area, we can substitute the values into the formula and calculate the force.
( PLEASE HELP) The points (3,-2) (-3,-2) and (-3,6) are the vertices of a triangle. Find the perimeter of the triangle. (Hint: Use the Pythagorean theorem to find the length of the hypotenuse.
Answers
[tex]x^2=6^2+8^2\\\\x^2=36+64\\\\x^2=100\to x=\sqrt{100}\to x=10[/tex]
The perimeter of the triangle:
[tex]P_\Delta=6+8+10=24[/tex]
help with maths please
Answers
i think your answer is 22.5 because if you divide 15 by 8 to find out how each one works you get 1.875 and take that and multiply it by 12 because 3 stopped, you would have 22.5
According to the rational root theorem -7/8 is a potential rational root of which function.
A.f(x)=24x^7+3x^6+4x^3-x-28
B.f(x)=28x^7+3x^6+4x^3-x-24
C.f(x)=30x^7+3x^6+4x^3-x-56
D.f(x)=56x^7+3x^6+4x^3-x-30
Answers
so since -7 is a factor of -28 and 8 is a factor of 24 its choice A.
The set of all numbers on the number line are called the ____________.
A number that has an equivalent terminating or repeating decimal is called a(n) _______________.
A number that has an equivalent decimal that is non-repeating is called a(n) _______________.
Any number that can be written as a fraction of integers is a(n) ______________.
Answers
Irrational
Ratio
Rational
The set of all numbers on a number line is called the "Real Numbers".
What is a rational number?Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.
The set of all numbers on a number line is called the "Real Numbers".
A number that has an equivalent terminating or repeating decimal is called a "Rational Number".
A number that has an equivalent decimal that is non-repeating is called an "Irrational Number".
Any number that can be written as a fraction of integers is a "Rational Number".
Hence, the set of all numbers on a number line is called the "Real Numbers".
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The figure shows a trapezoid with a height of 4 units. The area of the trapezoid is 20 square units. Select all of the dimensions for a and b that would represent the trapezoid
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If x = 15 units and h = 6 units, then what is the area of the triangle
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Area of a triangle is 1/2 * base * height.
1/2 * 15 * 6
1/2 * 90
45
45 units² is your answer.
find the next number in the given series?2,3,8,27,112,?
Answers
2, 3, 8, 27, 112, ?
2 * 1 + 1 = 3
3 * 2 + 2 = 8
8 * 3 + 3 = 27
27 * 4 + 4 = 112
112 * 5 + 5 = 565.
Good luck :)
(5.9)×(5.9)×(5.9)×(5.9)
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to obtain the graph of y=(x-8) shift the graph of y=x^2
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f(x + q): left q units
f(x) - q: down q units
f(x) + q: up q units
The graph of y = (x - 8)² is the graph of y = x² shifted 8 units to the right.
Find the simplified product: The Squareroot of 8 x the square root of 98
Answers
Final answer:
The simplified product of the square root of 8 and the square root of 98 is determined by multiplying the numbers under the square roots to get √784, which is a perfect square. Hence, the product simplifies to 28.
Explanation:
To find the simplified product of the square root of 8 and the square root of 98, we can use the property of square roots that allows us to multiply the numbers under the radicals first, before taking the square root of the resultant product. This is a form of simplifying square roots when dealing with exponentials.
Firstly, multiply the numbers inside the square roots:
√8 × √98 = √(8 × 98)
Calculate the product:
8 × 98 = 784
Now we have:
√8 × √98 = √784
By squaring of exponentials, we know that the square root of a perfect square is the base number:
√784 = 28 (since 28 × 28 = 784)
Therefore, the simplified product is 28.
The simplified product of the square root of 8 and the square root of 98 is 28, achieved by using the property of radicals and simplifying the exponents within the radical.
Explanation:To find the simplified product of the square root of 8 and the square root of 98, we can use the property of radicals where the product of two radicals can be combined into one radical, such that √(a) * √(b) = √(ab). To simplify further, we factor each number into its prime factors: 8 = 2³ and 98 = 2 * 7². We then combine the radicals: √(8) * √(98) = √(2³) * √(2 * 7²) = √(2´ * 7²).
Based on the properties of exponents and radicals, we can take the square roots of exponentials by finding which factors have exponents that are multiples of 2. In our case, we have 2´, which simplifies as 2², and 7², which is already a perfect square. Thus, √(2´ * 7²) simplifies to 2² * 7 = 4 * 7 = 28. So the simplified product of √(8) * √(98) is 28.
I'm a figure with six layers each of my layers is the same my bottom lame layer has a perimeter of 28 units in my volume is between 200 and 300 cubic units what is my volume
Answers
To determine this you can use the given perimeter of 28 to create combinations of dimensions of a recatangule prism.
I started with 7 + 7 + 7 + 7 to get 28. This means the length and width were both 7 units.
This would make the dimensions of this prism 7 x 7 x 6(the height).
The find the volume multiply all three numbers.
The volume is 296 cubic units.
Christy works at a bakery. The bakery sells cakes, cupcakes, and pies. Hayley ordered the cake shown .
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Ella is cooking a turkey and a ham for Thanksgiving. It takes 15 minutes per pound to cook a turkey and 23 minutes per pound to cook a ham. Ella is able to cook the turkey and the ham in 5 hours and 18 minutes. If the turkey weighs twice as much as the ham, how much do the turkey and the ham weigh?
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t=2h
5hr*60min/1hr=300min+18=318min
15t+23h= 318
15(2h)+23h=318
30h+23h=318
53h=318
h= 6
t=2(6)=12
6-pounds ham and 12 pounds of turkey
Final answer:
The turkey weighs 12 pounds, and the ham weighs 6 pounds. This was determined by setting up an equation based on the given cooking times per pound, converting the total cooking time to minutes, and solving for the weight of the ham, which was then used to find the turkey's weight.
Explanation:
Calculating the Weights of Turkey and Ham
Ella is cooking a turkey and a ham for Thanksgiving. The turkey takes 15 minutes per pound to cook, while the ham takes 23 minutes per pound. Altogether, the cooking time is 5 hours and 18 minutes, which converts to 318 minutes (5 hours x 60 + 18). We are told the turkey weighs twice as much as the ham.
Let's define x as the weight of the ham in pounds. Then the turkey's weight is 2x pounds. The total cooking time for the ham is 23x minutes, and for the turkey, it is 2x multiplied by 15, which is 30x minutes. Adding both cooking times gives us the total cooking time:
23x + 30x = 318
53x = 318
x = 6
Therefore, the ham weighs 6 pounds, and the turkey weighs 12 pounds (twice the weight of the ham).
Which relation is a function
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Which phrases can be represented by the algebraic expression x + 14? Check all that apply. the quotient of a number and 14 a number plus 14 fourteen less than a number fourteen more than a number fourteen taken away from a number the product of fourteen and a number a number increased by 14
Answers
Answer:
A,C,F
Step-by-step explanation:
Which phrases can be represented by the expression 60w? Check all that apply.
the product of sixty and a number
sixty times a number
the difference of a number and sixty
the quotient of a number and sixty
a number divided by sixty
the sum of a number and sixty
Answer:
Phrases 2) a number plus 14, 4) fourteen more than a number and 7) a number increased by 14 can be represented by the given algebraic expression.
Step-by-step explanation:
We are given an algebraic expression:
[tex]x + 1`4[/tex]
1) the quotient of a number and 14
2) a number plus 14
Let x be the number then, it can be written as x + 14
3) fourteen less than a number
4) fourteen more than a number
Let x be the number, then, it can be written as x + 14
5) fourteen taken away from a number
6) the product of fourteen and a number
7) a number increased by 14
Let x be the number, then, it can be written as x + 14
Phrases 2) a number plus 14, 4) fourteen more than a number and 7) a number increased by 14 can be represented by the given algebraic expression.
What is x?
x-1 / x-1 = -1
|x-1| / | x-1 | = 1
|x-1| / |x-1| = -1
Pls Help!!!
Need it by 15 minutes.
Answers
Answer:
|x-1| / | x-1 | = 1
Step-by-step explanation:
From a survey, a reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71,0.78).
What is the point estimate of the proportion of residents who are against expanding the airport?
Enter your answer, as a decimal, in the box.
Answers
Answer: The point estimate of the proportion of resident who are against expanding the airport is 0.745.
Step-by-step explanation:
Since we have given that
A reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71, 0.78).
So, we need to find the point estimate of the proportion of residents who are against expanding the airport.
So, Point estimation of the proportion of resident would be
[tex]\dfrac{0.78+0.71}{2}\\\\=\dfrac{1.49}{2}\\\\=0.745[/tex]
Hence, the point estimate of the proportion of resident who are against expanding the airport is 0.745.
pedro's father is building a shed, how many square feet of wood are needed to build the back of the shed
Answers
To find the required square feet of wood for the back of a shed, multiply the height by the width of the back wall to calculate its area.
Explanation:To determine how many square feet of wood are needed to build the back of a shed, you need to know the height and width of the back wall of the shed. Assuming you have these measurements, you calculate the area in square feet by multiplying the height by the width.
For example, if the back of the shed is 10 feet high and 12 feet wide, you would calculate the area as follows: 10 feet (height) x 12 feet (width) = 120 square feet. This calculation gives you the total area in square feet of the wood needed for the back of the shed. Remember, the area of a flat surface is calculated by the formula length x width.