Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per day (rounded to the nearest hour):
Number of hours in school per day 4 5 6 7 8 Sample A: Number of students 70 100 125 135 70 Sample B: Number of students 80 90 120 125 85 Meg concludes that students spend a mean of 7 hours in school each day. Tara thinks the mean is 6 hours. Who is correct—Meg or Tara? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Answers
Answer:
The mean would be 6, meaning Tara is correct.
Step-by-step explanation:
The reason to why this is the answer is that I had to add all the “number of hours in a school per day” to get 30. Then, you would have to divide 30 by 5 (because you have five different hours for a school day) to get 6. Your mean would be 6 because mean is adding up the amount of something, then dividing it of how many numbers you added.
Tara think correct mean i.e., 6 . The student spends a mean of 6 hours in school each day.
Tara is correct.
What is mean of the data?Arithmetic mean or mean or average is the number that is obtained by adding the values of all the items of a series and dividing it by the number of observations.
As per given that :
Time slots (in hours): 4, 5, 6, 7, 8
Sample A: 70 100 125 135 70
Sample B: 80 90 120 125 85
For Sample A, the mean will be
[tex]\frac{\sum fx}{\sum f}[/tex]= [tex]\frac{3035}{500}[/tex]
=6.07
For Sample B, the mean will be
[tex]\frac{\sum fx}{\sum f}[/tex]= [tex]\frac{3045}{500}[/tex]
=6.09
The average mean will be = [tex]\frac{6.07+6.09}{2}[/tex]
=6.08
Tara assumed the correct mean.
Learn more about mean here:
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Related Questions
Add.
5/6+1/2+3/4
Enter your answer in the box as a mixed number in simplest form.
Answers
Answer:
2 1/12
Step-by-step explanation:
5/6+1/2+3/4
Get a common denominator of 12
5/6 *2/2 + 1/2 *6/6 + 3/4 *3/3
10/12 + 6/12 + 9/12
25/12
24/12 + 1/12
2 +1/12
2 1/12
[tex]\bf \Large \hookrightarrow \: \frac{5}{6} \: + \: \frac{1}{2} \: + \: \frac{3}{4} \\ [/tex]
First , we take LCM of denominators
LCM of denominators is 12
[tex]\bf \Large \hookrightarrow \: \frac{10 \: + \: 6 \: + \: 9}{12} \\ [/tex]
[tex]\bf \Large \hookrightarrow \: \: \frac{25}{12} \\ [/tex]
Decimal Form = 2.0833Mixed fraction form 2 × 1/2HELP HELP HEL[P HELP HELP HELP HELP
sorry about the wrong file
write the answer in the comments section
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
A sector of a circle of radius 6cm subtends an angle in of 105 at the centre of the circle.Calculate
I)the length of the minor
Ii)Perimeter of the sector
Iii)the area of the sector[take pi =22/7
Answers
Answer:
c
Step-by-step explanation:
the perimeter of the sector
Answer:
Sorry dont know :(
Step-by-step explanation:
Which expression is equivalent to 4. 8 + 2. 2w - 1. 4w + 2. 4 ?
Answers
B.0.8(9+w)
I hope this helps
Rule for subtracting Integers: Keep, Change, Opposite.
Show the changes for subtracting integers:
1. 3 - 7
2. -4 -2
3. -4 - (-6)
4. x - 3x
5. 3 - 4x
6. -3 - (-2x)
Answers
Answer:
-4 -6 2 -2x 3-4x 2x-3
Step-by-step explanation:
3 - 7= -4 (7 is larger so we get - sign)
-4-2=-6(we add "-" terms but they have the - sign)
-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)
x-3x=-2x(3x is larger)
3-4x=3-4x(Unlike Terms)
-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)
that’s all i know sorry
Copy the problems onto your paper, mark the givens and prove the statements asked.
b) CN = WN, ∠C ≅ ∠W.
Prove RN = ON
Answers
Answer:
Step-by-step explanation:
Considering triangle CNR and triangle WNO, there are:
∠C = W
CN = WN
∠CNR = ∠WNO (2 opposite angles)
deduce triangle CNR = triangle WNO
deduce RN = ON
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
5x-y>-3
Answers
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
linear inequality in the coordinate plane.
[tex]5x-y > -3[/tex]
which can be written as
-y > -3 -5x
y < 3 + 5x ( standard way to express inequality )
Now , to get the points for graph the inequality
We will treat inequality as equation
y = 3 + 5x
x y
0 3
1 8
-1 -2
-0.6 0
Now,
As per rule of graph the inequality
The boundary line is dashed for > and <
and If the symbol ≤ or < is used shade below the line.
Therefore , graph the inequality is plotted accordingly .
Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .
To know more about graph the inequality here:
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Express each of the following fractions as percentages
3/5 (fraction)
solution for class 7
Answers
Divide 3 by 5 ( 3 / 5 ) = 0.6,
and then multiply by 100, so the percentage is:
60%
Solve the equation -8(n + 7) = -88. What are two ways to start solving this equation? Choose BOTH ways.
1) Subtract 7 from both sides.
2) Use the distributive property.
3) Add 8 to both sides.
4) Add 88 to both sides.
5) Divide both sides by -8.
Answers
Answer:
Divide each side by -8
Distribute
Step-by-step explanation:
-8(n + 7) = -88.
Method 1
Divide each side by -8
n+7 = 11
Subtract 7 from each side
n = 4
Method 2
Distribute
-8n-56= -88
Add 56 to each side
-8n = -32
Divide by -8
n=4
Answer:
Distributive property & dividing -8 on both sides.
Step-by-step explanation:
You can begin solving the equation by either using the distributive property or dividing -8 on both sides.
Distributive Property:
[tex]-8(n+7)=-88\\-8n-56=-88\\-8n=-32\\n=4[/tex]
Dividing:
[tex]-8(n+7)=-88\\n+7=11\\n=4[/tex]
what is 2x + 5 = 2x - 10
Answers
Answer:
2x+5 = 2x-10
2x = 2x-15
0 = -15???
This equation has NO SOLUTION.
Let me know if this helps!
-2x. = -2x
————————
+ 5 = -10
- 5 = -5
————————-
0 = -15
This has no answer
I need help with these ASAP, the assignment is due today and plz explain.
Answers
Answer:
Step-by-step explanation:
-8 <= x <= -1
Answer:
14234
Step-by-step explanation:
123124
What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?
Answers
Answer:
7 is the coefficient
A coefficient is a number before a variable.
For example, in 7j, 7 is the coefficient:)
Step-by-step explanation:
You used 6 3/4 cups of sugar while baking muffins and nut bread for a class party. You used a total of 1 1/2 cups of sugar for the muffins. Your nutbread recipe calls for 1 3/4 cups of sugar per loaf. How many loaves of nutbread did you make?
Answers
Answer:
Step-by-step explanation:
1. Convert to decimals.
[tex]6\frac{3}{4}[/tex] = 6.75 cups of sugar - Total Sugar
[tex]1\frac{1}{2}[/tex] = 1.50 cups of sugar - Muffin Sugar
[tex]1\frac{3}{4}[/tex] = 1.75 cups of sugar - Nutbread sugar
2. Subtract muffin sugar from total sugar
6.75 cups total sugar - 1.50 cups fir muffins = 5.25 cups remaining
3. Divide remaining sugar by amount used per loaf nutbread
5.25 cups sugar / 1.75 cups for each loaf nutbread = 3
3 Loaves of nutbread were made.
50 POINTS if u answer every question no explaining needed
Answers
Answer: 2nd one.
Step-by-step explanation:
Basically is more turkey for cheaper price...
The best buy is the second turkey.
1. 1 5/7
2. 1 mile per hour
3. 13. Well, 13.5 but since you can't cut half a board, it's rounded down to 13.
4. a. 3 batches of cookies
b. 180 cookies
5. a. 1/8 of a pound of candy every day
b. It will take him 8 days to eat 1 pound of candy
Let me know if any of these are wrong, I will correct them.
help please i will give a brainist
Answers
Answer:
4 apples/ second
28800 apples in 2 hours
Step-by-step explanation:
20 apples / 5 seconds
Divide the top and bottom by 5
4 apples/ second
A few hours is 2 or 3
There are 3600 seconds in 1 hour
4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour
14400 apples/ hour
14400apples / hour * 2 hours
28800 apples in 2 hours
Answer:
4 apples per second; about 14400-43200 apples
Step-by-step explanation:
First, to find the unit rate, you need to divide the number of apples with the number of seconds...
20/5= 4 apples per second
Then, to find the number of apples being packed after a few hours, you multiply the unit rate of apples by the total amount of seconds...
(4)(3600) = 14400 apples
(4)(10800) = 43200 apples
And so on and so forth depending on the number of hours they need (remember to convert the hours into seconds and multiply by 4)
graph a line with the slope of -5 and the y intercept of 4
PLEZZ HELP!!!!!!!!!!!!!!!!
Answers
Answer:
Slope m = -5
y intercept = 4
so the equation of the line is,
y = -5x+4
Plot two points, (0,4) and (1,-1)
then connect them, I've attached a graph, your graph should look like that
Answered by GAUTHMATH
Answer:
y=-5x+4
Step-by-step explanation:
y=mx+b
the slope is m
the y intercept is b
-5/1= one right and down 5
4 is the starting point on the y-axis (the vertical one)
Complete the following sentences based on the graph of the function.
Answers
Answer:
1) Decreases
2) not constant
3) non-linear
4) >
5) 8
6) 5
OAmalOHopeO
• The rate of change for y as a function of x is not constant, therefore the function is not linear
• For all values of x, the function value y > 0
• The y intercept of the graph is the function y=8
•When x=1 the function value of y=5
Please help me I need it ASAP! Thank you!
Answers
This is because there was a repeating pattern of Times three
For how many raisins there are there will be three times as much cereal
Therefore on the graph when the cereal (axis x) is at 30, The raisin (y axis) should be 10
If f(x) = -2x- 1 and g(x) = -x what is the value of f [g(2)]?
PLEASE ANSWER ACCURATELY
Answers
Answer:
[tex]\displaystyle f[g(2)] = 3[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) = -2x - 1\text{ and } g(x) = -x[/tex]
And we want to find the value of:
[tex]\displaystyle f[g(2)][/tex]
First, evaluate g(2):
[tex]\displaystyle \begin{aligned} g(2) &= -(2) \\ &= -2\end{aligned}[/tex]
Substitute:
[tex]\displaystyle f[g(2)] = f(-2)[/tex]
Evaluate f(-2):
[tex]\displaystyle \begin{aligned} f(-2) &= -2(-2) - 1 \\ &= 4 - 1 \\ &= 3\end{aligned}[/tex]
Therefore:
[tex]\displaystyle f[g(2)] = 3[/tex]
please give an answer you know is right- need answer right now!!
Answers
Work —
Red (top):
SA = lw
SA = 5 • 2
SA = 10
Red (right side):
SA = lw
SA = 5 • 4
SA = 20
Red (left side):
SA = lw
SA = 5 • 4
SA = 20
Red (back):
SA = lw
SA = 4 • 2
SA = 8
Red (front):
SA = lw
SA = 4 • 2
SA = 8
Orange (top):
SA = lw
SA = 3 • 5
SA = 15
Orange (right side):
SA = lw
SA = 5 • 3
SA = 15
Orange (left side):
SA = lw
SA = 5 • 3
SA = 15
Orange (back):
SA = lw
SA = 5 • 3
SA = 15
Orange (front):
SA = lw
SA = 5 • 3
SA = 15
Orange (bottom):
SA = lw
SA = 5 • 5
SA = 25
Total:
SA = 10 + 20 + 20 + 8 + 8 + 15 + 15 + 15 + 15 + 15 + 25
SA = 166
SA=166 :) hope this helps
Modeling Real Life At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?
Fraction:_______
Answers
Answer:
17.5
Step-by-step explanation:
Half 37
Put into decimal
Answer:
Step-by-step explanation:
If 1/2 of the members who are present voted means, then the remaining half (1/2) didn't vote in favor of the new park.
Fraction of the members do not vote in favor of the new park = (1/2) of (37/50)
[tex]=\frac{37}{50}*\frac{1}{2}\\\\=\frac{37}{100}\\[/tex]
There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of the actual triangular structure is 18cm, what is the length and the area of the triangular structure?
Answers
Answer:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2
Step-by-step explanation:
this with help
Answer:
0
Step-by-step explanation:
99
question down below: 50 points
Answers
Answer:
10/13, 2/3, 7/11, 3/5, 5/9
Step-by-step explanation:
5/9 , 7/11, 3/5, 2/3, 10/13
Changing to decimal form
.5555(repeating), .636363(repeating), .6 , .666(repeating) ,.769230769
The largest is 10/13
Then 2/3
Then 7/11
Then 3/5
The smallest is 5/9
Mind uh... Answering my question?
Answers
Answer:
12 ounces
Step-by-step explanation:
[tex]3 \div 4 \\ = 0.75 [/tex]
1 pound = 16 ouncesmultiply the mass value by 16.[tex]0.75 \times 16 \\ = 12[/tex]
Hope it is helpful....Answer:
12 ounces
Step-by-step explanation:
Please help me with this question. will give brainliest I need this by today pleaseeeeeee its an assignment
Answers
Answer:
i would say 7
Step-by-step explanation:
Can anyone plz explain how to get the answer to this. I don't get it.
Answers
3/12 or 1/4
Step-by-step explanation:
|x/4 + 1/3| = 7/12
Convert the fractions to a common denominator of 12
1/3 = 4/12
x/4 = x/12
|x/12 + 4/12| = 7/12
x = 7/12 - 4/12
x = 3/12 or 1/4
Picture below maths :
Answers
Step-by-step explanation:
f(g(x))= f(2x)
f(g(x))=3+cos2x
g(f(x))=g(3+cosx)
g(f(x))=2(3+cosx)
g(f(x))=6+2cosx
where,
f(g(x))=g(f(x))
3+cos2x=6+2cosx
2cosx-cos2x+6-3=0
2cosx-cos2x+3=0
x=2pi n1+pi
n1€ z
solve by factoring
x^2-8x= -15
Answers
Answer:
(5,0)(3,0)
Step-by-step explanation:
x^2 - 8x + 15 = 0
(x - 5)(x - 3) = 0
x - 5 = 0
x = 5
x - 3 = 0
x = 3
What is the slope of the graph of y = -3x?
-1/3
1/3
-3
3
Answers
Answer:
Slope is -3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
y = -3x
↓ Compare to y = mx + b
Slope m = -3
y-intercept b = 0
The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?
Answers
Answer:
1/2 pound for each dog.
Step-by-step explanation:
Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?
You want the units to be pounds per dog or pounds/ number of dogs.
The numerator is 6.5
The denominator is dogs (13)
Food per dog = 6.5 / 13 = 1/2
