A sample of 50 high school and college students were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV. 40% of the sample is high school students. From the sample, it is found that 22% were high school students who chose playing sports, and 6% were high school students who chose dancing. 10% were college students who chose sports and 18% were college students who chose watching movies/TV. 38% of the students surveyed chose dancing.
Which of the following is a correct two-way relative frequency table for the data?
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 0.22 0.06 0.12 0.40
College students 0.10 0.32 0.18 0.60
Column totals 0.32 0.38 0.30 1
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 0.11 0.03 0.06 0.40
College students 0.05 0.16 0.09 0.60
Column totals 0.16 0.19 0.15 1
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 11 3 6 20
College students 5 16 9 30
Column totals 16 38 30 50
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 22 6 12 40
College students 10 32 18 60
Column totals 32 38 30 100
From the given options, the only one that represents the correct two-way relative frequency table for the data is; Option A
How to identify a two-way relative frequency table?
A two way frequency table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.
Now, we are given the following;
Total Number of students surveyed = 50 students
Percentage that are high school students; 40% = 0.4
Percentage of high school students who chose playing sports; 22% = 0.22
Percentage of high school students who chose dancing; 6% = 0.06
Thus, Percentage of high school students who chose watching movies/TV = 0.4 - (0.22 + 0.06) = 0.12
Percentage that are college students; 100% - 40% = 60% = 0.6
Percentage of college students who chose playing sports; 10% = 0.10
Percentage of college students who chose watching movies/TV; 18% = 0.18
Thus, Percentage of college students who chose dancing = 0.6 - (0.1 + 0.28) = 0.32
Looking at the given options, the only one that represents the correct two-way relative frequency table for the data is; Option A
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Answer:
Option A
Step-by-step explanation:
Option A
I NEED IT RIGHT NOW!!! Maritsa is making a necklace of x wooden beads at 0.60 each and 11 glass beads at $1.55 each. The total cost of the necklace is $21.85. Write an equation to esent this situation.
0.60x + (1.55 x 11) = 21.85
I'm not sure if this is what you need but its the best response i got :)
What is the property of -2(4+9y)=-8-18y
Answer: Distributive Property
Step-by-step explanation:
Dave arrives to a meeting 5 minutes early, and he leaves as soon as the meeting ends, 75 minutes after he got there.
Answer:
The meeting was 70 minutes long
Step-by-step explanation:
x+5=75
subtract 5 from both sides
x=70
What is the solution
{3x-2y=12
Answer:
Step-by-step explanation:
Answer:
x = 4 + 2y/ 3
Step-by-step explanation:
evaluate 4(3-1)2
A. 128
B. 16
C.64
D.32
Answer:
B.16
Step-by-step explanation:
Answer:
B:16
Step-by-step explanation:
Always start in the brackets so
3-1=2 and since the numbers are right by the brackets you multiply
2x4=8 8x2=16
3,725,000 in scientific notation
Answer:
3.725 x 10^6 is the scientific notation
write an expression showing allowable number of players on a team
In linear equations, the possible number of players in a game with eight teams is given by 16 ≤ P ≤ 32.
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).Let the number of players be n
Since each team can have between 2 and 4 players
n ≥ 2 or 2 ≤ n, and n ≤ 2
Therefore, the allowable number of players on a team is given by 2 ≤ n ≤ 4
2) There are four players in Han's team and a perfect score is 20
Therefore, the number of points Han's team earns in one round if every player earns a perfect score is given by 4 * 20
3) There are four players in Han's team
Total score if each player in Han's team earns a perfect score is 4 * 20 = 80
Let the total score of Han's team be T
Therefore, the number of points, Han's team earns in one round if no players earn a perfect score is given by T < 80
4) If two team have 4 players, it is given by 2 * 4
If the rest four teams have 3 players each, it is given by 4 * 3
Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each is given by (2 * 4) + (4 * 3)
5) Let the possible number of players in a game with be P
Maximum number of players in eight teams = 4 * 8 = 32
Minimum number of players in eight teams = 2 * 8 = 16
P ≤ 32 and P ≥ 16 or 16 ≤P
Therefore, the possible number of players in a game with eight teams is given by 16 ≤ P ≤ 32.
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The complete question is -
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents
calculate the following 2+2
Answer:4
Step-by-step explanation:
2+2 is 4
11.
15 cm
4/cm
Find the Total Surface area of the cylinder.
The total surface area of the cylinder is [tex]477.28cm ^2[/tex]
The surface area of a cylinder can be defined as the amount of space covered by the plane of the base of the cylinder and the curved surface of the cylinder. The total area of a cylinder includes the area of his two bases of a circular cylinder and the area of the curved surface. Surface area is expressed in square unitsThe total surface area of a cylinder is the sum of the areas of its circular top and bottom and curved surfaces. T.S.A = face up + face down + C.S.A The total area of a cylinder of radius r and height h is given by [tex]T.S.A = 2 \pi r(r + h)[/tex] ...(1) where [tex]\pi = 3.14[/tex]It is given that radius is 4 cm and height is 15 cm .
Putting r = 4 cm and h = 15 cm in equation (1) , we get
[tex]A=2\pi \times4(4+15)\\A=8\times3.14\times19\\A=477.28cm^2[/tex]
Hence , the area is 477.28
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The complete question is mention below :
What is the total surface area of cylinder with radius 4cm and height 15cm
Complete the inequality statement. 4/13__ 6/13
Answer:
4/13 < 6/13
Step-by-step explanation:
= means equal
< means less than
> means greater than
Since 4/13 is less than 6/13 the correct answer is 4/13 < 6/13
Review of equations show work
Answer:
m = -2
Step-by-step explanation:
Let's solve your equation step-by-step.
9=−7m+1−6
Step 1: Simplify both sides of the equation.
9=−7m+1−6
9=−7m+1+−6
9=(−7m)+(1+−6)(Combine Like Terms)
9=−7m+−5
9=−7m−5
Step 2: Flip the equation.
−7m−5=9
Step 3: Add 5 to both sides.
−7m−5+5=9+5
−7m=14
Step 4: Divide both sides by -7.
−7m/−7 = 14/−7
m=−2
State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Original 15, New:45
Answer:
The percent of change is a percent of increase. The percent of change is 200%.
Step-by-step explanation:
Hope this helps!
piercewill08 is officially on my list of "reliable answers"
All work is provided in the attached screenshot! I got you!
Have a great day!
A electric wire touch the ground it 7m from the foot of the pole. If the length of the wire from the top of the pole to the ground is 25m find the height of pole.......
[tex]...[/tex]
[tex]\pink{★}[/tex]Height of the pole = BC
[tex]\pink{★}[/tex]Distance from the foot of the pole and the point = AB = 7 m
[tex]\pink{★}[/tex]length of the wire of one side = AC= 25m
[tex]\pink{★} [/tex]∆ ABC is a right angled triangle ∠B = 90°
By Pythagoras theorem :
[tex]\tt{AC^2 = BC^2+ AB^2}[/tex]
[tex]\tt{25^2 = h^2+7^2}[/tex]
[tex]\tt{625 = h^2+49}[/tex]
[tex]\tt{h^2 =625-49}[/tex]
[tex]\tt{h^2 = 576}[/tex]
[tex]\tt{h = \sqrt{576}}[/tex]
[tex]\tt{h= 24m}[/tex]
The height of pole is 24 m .
Showing each step... simplify the following monomial.
Show Your Work
4ab + 13bc
Simplfying the monomial 4ab + 13bc we get, b(4a + 13c).
Given: 4ab + 13bc
To find: Solve monomial
When two numbers are multiplied together, the answer is a number that is the sum of the two original numbers. In this case, B is the product of 4a and 13c.
B is common term in both so, we can write it as
4ab + 13bc = b(4a + 13c)
When two algebraic equations are combined, the order of operations (OP) must be followed. This means that the parentheses and Exponents (^, x ^, etc.)
in one equation must be moved to the left side before anything is added or multiplied within those equations. In this case 4ab + 13bc would become b(4a+13c).
Hence, by Simplfying the monomial 4ab + 13bc we get, b(4a + 13c).
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The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y-4=(x-8). What
is the slope-intercept form of the equation for this line?
O y=1/4x-12
Oy=1/4x-4
O y =
O y =
1/4x + 2
1/4x + 6
Denise and Stacey went to a carnival. The admission fee was $6 per person.
Each ride at the carnival costs c dollars. The game booths charged g dollars
for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3
games, while Denise played 2 games. Which expression represents the total
amount of money that Denise and Stacey spent at the carnival?
1. The y-intercept of the graph of an equation will _____have a y-coordinate of 0.
2. If a linear equation contains only one variable, its graph will ______ pass through the origin.
3. True or false: The graph of Ax + By = 0 will always pass through the origin.
Using function concepts, it is found that:
1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.
2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.
3. The statement is true.
What is the y-intercept of a function?The y-intercept of a function is the value of f(x) when x = 0, that is, the value of y for which the function crosses the y-axis.
If the function crosses the y-axis at y = 0, it will have a y-coordinate of 0, hence:
1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.
One example of linear equation with one variable is: y = 0.
Which passes through the origin, but y = 2 does not, hence:
2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.
In item 3, the intercept is of By = 0 -> y = 0, hence when x = 0, y = 0, meaning that the statement is true, as the function will always pass through the origin.
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The sum of three consecutive odd integers is -3−3. Find the value of the least of the three.
The value of the least of the three odd numbers is -3
What are consecutive odd numbers?Consecutive odd numbers are odd numbers that have a common difference of 2
How to find the value of the least of the three?The sum of the odd integers is given as
Sum = -3
Let the least of the odd integers be x
So, the other two odd integers are x + 2, x + 4
When these numbers are added, we have
Sum= x + x + 2, x + 4
Evaluate the sum
Sum= 3x + 6
Substitute Sum= 3x + 6 in Sum = -3
3x + 6 = -3
This gives
3x = -9
Divide by 3
x = -3
Hence, the value of the least of the three odd numbers is -3
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Kisha can play 3 games of pool in 45 minutes. If kisha plays 5 games, predict how much time Kisha plays
Answer: 75 minutes ( 1 hour 15 minutes )
Step-by-step explanation:
3 games = 45 minutes
45 divided by 3 = 15
1 game = 15
15 x 5 = 75
5 games = 75 minutes
000
Cedric lives in an apartment and pays the following expenses each month: electric bill,
$33.90; TV streaming service, $24.99; and rent, $538.95. Estimate his total expenses for
the month by first rounding each value to the nearest tens place.
O $550
O $590
O $598
O $600
The total expenses for the month by first rounding each value to the nearest tens place is $598.
How to calculate the expenses?It should be noted that Cedric lives in an apartment and pays the following expenses each month:
electric bill $33.90;
TV streaming service, $24.99; and
Rent, $538.9
Rounding them will be:
electric bill $33.90 = $33.9
TV streaming service, $24.99 = $25.0
Rent, $538.9 = $538.9
Therefore, the total expenses for the month by first rounding each value to the nearest tens place will be:
= $33.9 + $25.0 + $538.9
= $597.8
= $598
Therefore, the total expenses for the month by first rounding each value to the nearest tens place is $598.
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Diana ran 300 yards in 65 seconds. Then she ran 300 yards in 55 seconds.
How much faster was Diana's second time
Diana's second time was faster by 0.84 yards.
How to calculate the speed?Th speed of the first race will be:
= Distance / Time
= 300 / 65
= 4.62 yards per second
The speed of the second race will be:
= 300 / 55
= 5.46 yard per second.
The difference will be:
= 5.46 - 4.62
= 0.84 yards
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Can someone help me please
Answer: U': (0, 9)
V': (0, 3)
W': (-9, 6)
Step-by-step explanation:
In a 90 degree clockwise rotation about the origin for this triangle, the x and y coordinates of the triangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening over the x-axis, where the y-values will be changing signs while the x-values will still have the same signs.
U: (-9, 0) ==> (0, -9) ==> U': (0, 9)
V: (-3, 0) ==> (0, -3) ==> V': (0, 3)
W: (-6, -9) ==> (-9, -6) ==> W': (-9, 6)
30%= simplify your answer
Answer:
3/10 in fractions, 0.3 in decimals.
Step-by-step explanation:
I dont know how to explain for decimal, but for fractions, just divide by 10, and you will get 3, and since 10 can fit in 100 10 times, you just put 3/10 which means 30/100. for decimals, just move the percent two parts backwards, and it should be 0.3 or .30. hopefully it helped (for fraction).
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
OA. The quadratic function is the inverse of the square root function
with a limited domain.
OB. The quadratic function is one-to-one and the square root function
is not.
OC. The quadratic function and the square root functions are in no way
related other than they are both functions.
OD. The square root function is the inverse of the quadratic function
with a limited domain.
The option that provides the best description of the relationship between a quadratic parent function and a square root parent function is (d) the square root function is the inverse of the quadratic function with a limited domain.
How to determine the best description of the relationship between a quadratic parent function and a square root parent function?A quadratic parent function is represented as
y = x^2
A square root parent function is represented as
y = √x
As a general rule, a quadratic parent function has no limited domain while a square root parent function has a limited domain i.e. no negative numbers
Also, the square root function is the inverse of the quadratic function
Hence, the best description of the relationship between a quadratic parent function and a square root parent function is (d) the square root function is the inverse of the quadratic function with a limited domain.
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which of the following numbers would be an integer, but not a natural number -3/5, -8.2, 5 or -22
The number -22 is an integer but not a natural number.
Integers are subsets of real numbers which are all numbers excluding fractions and decimals.
There are 3 types of integers.
positive integers such as 6, 8 , 17 , 854negative integers such as -1 , -4 , -65zero integer or 0Natural numbers are subset of integer numbers which contains all the positive integers such as 7 , 45 , 685 .
Natural numbers are also the subset of real numbers.
The given numbers are:
-3/5 is not an integer as it is a fraction.-8.2 is not an integer ,it is a negative real number.5 is a positive integer also a natural number.-22 is a negative integer but not a natural number.Hence only -22 is an integer but not a natural number.
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Quadrilateral M is a scaled copy of quadrilateral L.
18
36
Quadrilateral L
What scale factor takes quadrilateral L to quadrilateral M?
18
Quadrilateral M
Answer:
Step-by-step explanation:
3/5
The worlds smallest help is 3/4 in long. An adult western banded help is 7 1/3 times as long. How long is an adult male western banded geko
The correct answer is 5.5.
Numerator and denominator are the two components of a fraction. The denominator, which is not zero, comes below the line dividing the numerator from the denominator.
The simplest way to answer this question is to multiply the mixed number and fraction together after converting them to decimals.
We are aware that we must divide the numerator by the denominator in order to convert a fraction to a decimal.
1 ÷ 3 Equals 0.3... (This decimal repeats itself.)
0.3... + 7 Equals 7.3... (Continues to repeat)
7/3 equals 7.(3) in decimal form.
3 ÷ 4 = 0.75
As a decimal, 3/4 is 0.75.
Add the two decimal places together:
7. (3) × 0.75 = 5.5
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A hiking trail is shown as 14 cm on a map.
The scale is 1 : 150000
How far in km is it in real life?
Answer:
21km
Step-by-step explanation:
1km=100000cm
14x150000=2100000cm=21km
The distance in real life in kilometers by the given scale factor will be 21 kilometers.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
As per the given,
Scale factor = 1 : 150000
It means 1 cm will convert to 150000 cm.
In real life = 14 x 150000 = 2100000 cm
2100000 cm = 21000 m = 21 kilometer
Hence "The distance in real life in kilometers by the given scale factor will be 21 kilometers".
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