Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32
Answers
Answer:
So the mean of the given data set is approximately 15.55.
Step-by-step explanation:
The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.
The midpoint of each class can be calculated as the average of the lower and upper class boundaries:
Class 0-9: Midpoint = (0 + 9) / 2 = 4.5
Class 10-19: Midpoint = (10 + 19) / 2 = 14.5
Class 20-29: Midpoint = (20 + 29) / 2 = 24.5
Now we can find the sum of the product of each midpoint and its frequency:
(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182
Finally, we divide this sum by the total frequency (76) to find the mean:
1182 / 76 = 15.552632
So the mean of the given data set is approximately 15.55.
Related Questions
Without graphing, determine whether the equation has a graph that is symmetric with
respect to the x-axis, the y-axis, the origin, or none of these.
y=x2 +8
Choose the correct answer below.
X-axis
y-axis
origin
none of these
Answers
Answer:
girl
Step-by-step explanation:
What in the world 3000%
In what ways are sine and cosine graph similar? Be sure to include a discussion of intercepts, maxima, minima, and period.
Answers
Answer:
The sine and cosine functions are similars in:
They are periodic functions with a period of 2π.
The domain of each function is (−∞,∞) and the range is [−1,1]. Both has maxima in 1 and a minimal in -1.
Use the following information for #18
Connor makes $120 for every 10 hours he works.
#18 How much does Connor make per hour?
Answers
Answer:
$12
Step-by-step explanation:
u do 120 divided by 10 which gives u 12 which gives u per hours
hope this helps
Select the correct answer from each drop-down menu. The United States can produce 200 pillows in one week, while Spain and France produce 150 and 100 pillows, respectively, in one week. On the other hand, Spain can produce 10 televisions in one week, while the United States and France produce only 5 and 4 televisions, respectively. has an absolute advantage in producing pillows, and has an absolute advantage in producing televisions.
Answers
Answer:
The correct answers is:
The United States has an absolute advantage in producing pillows, and Spain has an absolute advantage in producing televisions
Step-by-step explanation:
Absolute advantage is a term of economics which can be defined as an ability of a person, company or country to produce a greater quantity of goods as compared to his competetors.
We can surely understand that in the pillows market, the United States has an absolute advantage as it is producing about 50 pillows more than Spain and 100 pillows more than France in one week.
Similarly, in the televisions market, Spain has the absolute advantage because Spain is producing 5 more televisions than United States and 6 more televisions than France in one week
In the diagram below of circle o, chords AB and CD intersect at E.
If CE = 10, ED = 6, and AE = 4, what is the length of EB?
AWARDING MAX POINTS
Answers
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)
We can see in the diagram the chord AB and chord CD intersect each other at point E.
Each of the chord is divided into two segments.
According to the Intersecting Chords Theorem:
Products of the lengths of line segments on each chord are equal
Which means that
(AE)(EB) = (CE)(ED)
Substitute the given values;
(4)(EB) = (10)(6)
4(EB) = 60
EB = 15
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15
A: y = 13 - 2x
B: y = 8 - x
At which point do these two lines intersect?
A. (1, 7)
B. (1.5, 3.0)
C, (1.6, 3.2)
D. (2, 9)
Answers
Answer:
Step-by-step explanation:
8 -x = 13 - 2x
x + 8 = 13
x = 5
y = 8 - 5
y = 3
(5, 3)
(27)^-2/3 is equal to
Answers
Answer:
1/9
Step-by-step explanation:
(27)^-2/3=(3^3)^-2/3= 3^(-2/3*3)= 3^-2= 1/3^2= 1/9
Answer:
=1/9
Step-by-step explanation:
Apply exponent rule: a^-b=1/a^b
(27)^-2/3 = 1/(27)^2/3
Step-by-step method in attachment:
A falling object travels a distance given by the formula d= 3t + 3t ^2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 50 feet?
Answers
Answer:
3.61 sec
Step-by-step explanation:
Set the given d= 3t + 3t ^2 equal to 50 and solve for t:
3t^2 + 3t - 50 = 0
This is a quadratic equation with coefficients 3, 3 and -50. The discriminant is b^2 - 4ac, or 3^2 - 4(3)(-50), or 9 + 600 = 609
The roots of this quadratic are therefore:
-(3) ± √609 -3 ± 24.68 21.68
t = -------------------- = ------------------- = ----------- = 3.61 sec
2(3) 6 6
The space shuttle is accelerated off its launch pad to a velocity of 525 m/s in 18.0 seconds.
What is its average acceleration?
Answers
Answer:
29.17m/s²Step-by-step explanation:
Acceleration is defined as the change in velocity of a body with respect to time.
Acceleration = velocity/time
Given velocity of the space shuttle = 525m/s and time = 18.0seconds
Its average acceleration = 525/18
Its average acceleration (in m/s²) = 29.17m/s²
Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if the length of each piece is the greatest integer possible?
Answers
Answer:
2 pieces, 30ft each
Step-by-step explanation:
rope : 60ft long
we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:
if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.
The answer is 2 pieces and 30ft
GIVING BRAINLIEST
Find the area of the circle if r = 5 meters. Leave the answer in terms of
A =1000 square meters
B)
A =251 square meters
C)
A = 51 square meters
D)
A = 101 square meters
Answers
Answer:
The area is 78.54 square meters
Step-by-step explanation:
The area = pi*r² r=5
A=pi*25
A≈78.54 square meters
plsssss help due todayy!!
Answers
[tex]answer \\ = 44 \ \frac{7}{8} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Which graph represents the function f(x)=3x5^x
Answers
Answer:
top right corner
Step-by-step explanation:
Determine the value of y in the figure, and identify whether the triangle is isosceles or equilateral. answers: y = 30°; equilateral y = 30°; isosceles y = 60°; equilateral y = 60°; isosceles
Answers
Answer: equilateral y=60
Step-by-step explanation:
The sum of all the angles in a triangle add up to 180 degrees. So, because you have the angle measurement of two sides, you can set up an equation to solve for the third side: 60+60+x=180 (do the math and you end up with y=60)
And because all three of the angle measures are equal, the triangle is defined as an equilateral triangle.
The value of y is 60° and the given triangle is Equilateral.
What are Triangles?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
We have a triangle where one of the angle is unknown.
Sum of the interior angles of a triangle is 180 degrees.
60° + 60° + y° = 180°
120° + y° = 180°
y° = 180° - 120°
y° = 60°
Equilateral triangles are those triangles whose all sides and all angles are equal.
Isosceles triangles are those whose 2 sides or 2 angles are equal.
Since all angles are equal to 60° here, this is an equilateral triangle.
Hence the given triangle is an equilateral triangle with the unknown angle equals 60°.
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Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
Oy= 1/2x+3
Oy=-1/2x+3
Answers
Answer:
A y= -2x+3
Step-by-step explanation:
The plus 3 bring the line up 3. The negative makes the line moving down left to right. The 2 stretches the line by two.
The equation of the line in slope-intercept form is: A. y = -2x + 3.
What is the Equation of a Line in Slope-intercept Form?Equation in slope-intercept form is y = mx + b.b is the y-intercept.m is the slope of the line.Thus, find the slope (m):
Slope (m) = change in y/change in x = -2/1 = -2
y-intercept (b) = point on the y-axis where the line intersects the y-axis = 3.
Therefore, substitute b = 3 and m = 2 into y = mx + b:
y = -2x + 3
Therefore, the equation of the line in slope-intercept form is: A. y = -2x + 3.
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if f(x)=4^x-8 and g(x)=5x+6, find (f+g)(x)
Answers
Answer:
work is shown and pictured
Hey so I'm doing slope-intercept and I understand it and have been moving on, but I'm confused at this: "2 = -4 + b 6=b" How did the -4+b turn into 6=b?
Answers
Answer:
By adding 4 to both sides.
2= -4 +b
2= b -4
2+4= b-4 +4
6= b
Another way to look at it is to move all the constants to one side. Here we have the constant 2 on the left hand side, and on the right we have the constant -4 and the variable b.
To isolate b, we move the constant -4 to the left hand side. Moving a number to the other side of the equal sign changes the sign of the number. So, -4 becomes a +4 on the left hand side.
2 +4= b
6= b
What is (-4,4) reflected on the x-axis
Answers
Answer:
(-4, -4)
Step-by-step explanation:
When reflecting coordinates onto x-axis, x sign doesn't change, y sign changes.
Answer:
(4,-4)
Step-by-step explanation:
That is the answer because it is like you are flipping the object so the opposite of -4 is 4 and the opposite of 4 is negative 4.
If P(-4,-2) and Q(1, -3) represent points in a coordinate
plane. If Q is the midpoint of segment PM, find M.
O (6,-4)
o(-5, -5)
O(-4,6)
(3,1)
Answers
Answer:
the answer is (6, -4)
Step-by-step explanation:
Can you help me out on this question?
Answers
Answer:
4. x= 18
Step-by-step explanation:
We solve the problem like this:
Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.
3/9 = 6/x
We then use cross-multiplication to solve for x.
A rectangular prism has a width of 6 inches and a height of 10 inches. The volume of the rectangular prism is 300 in3. What is the length of the rectangular prism?
Answers
it is 300 and 300
and 300
Answer:
its 4
Step-by-step explanation:
Evaluate 5 ÷ 4/6 Give your answer as a mixed number in its simplest form.
Answers
Answer:
15/2
Step-by-step explanation:
5*6/4=30/4=15/2
Answer: 7 1/2
Step-by-step explanation:
5 ÷ 4/6 = 7.5
7.5 as a mixed number is 7 1/2
7 1/2 simplified is 7 1/2
Write the equation of the line passing through the points (10, 50) and (25, 20).
Answers
To write the equation, we need the slope and y-intercept.
Remember that slope is the same as rate of change
or the change in y over the change in x.
Start by setting up a table with x and y values
which I have provided below.
Filling out our table, our given points are (10, 50) and (25, 20).
In the y column, we can see that the value of y
goes from 50 to 20 so it decreases by -30.
This means that the change in y is -30.
In the x column, we can see that the value of x goes from 10 to 25
so it increases by 15 which means that the change in x is 15.
So the rate of change is -30/15 which simplifies to -2.
To find b, we can use any ordered pair
in our table as the values for x and y.
Let's use the first ordered pair.
So we have 50 = -2(10) + b.
Solving from here, we get 50 = -20 + b.
Now add 20 to both sides to get 70 = b.
So if our slope is -2 and our y-intercept is 70,
we can substitute these values into our formula.
This gives us y = -2x + 70.
HLP ! HLP ! HLP ! Last one
Answers
I converted each equation into the form y =\<\> Mx+b to find the slope and y intercept.
We know that the slope will be positive since the line is positive linear. We also know that the y intercept is 3, since the line crosses the y axis at 3.
Since the shaded part is above the line, the sign used will be this one: >
So therefore it’s the first one....
What is the product? (x^4)(3x^3-2)(4x^2)(4x^2+5x)
(A 12x^9+15x^8-8x^6-10x^5
(B 12x^24+15x^12-8x^8-10x^4 (C 12x^9-10x^5
(D 12x^24-10x^4
Answers
Answer:
Definitely A
Step-by-step explanation:
When multiplying you add exponents.
[tex]x^{4} (3x^{2} -2) = 3x^{7} -2x^{4} \\FOIL (3x^{7} -2x^{4})(4x^{2} +5x) = 12x^{9} +15x^{8} -8x^{6} -10x^{5}[/tex]
Answer:
A)
Step-by-step explanation:
1000% sure. Use foil method and add exponents together... Also on edge.
Find the infinite geometric sum of 4+2.4+1.44+...
Answers
Answer:
4+2.4=6.4+1.44=7.84
The infinite geometric sum of 4+2.4+1.44+... will be 10.
What is the common ratio?At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.
It is given that, the sequence is 4+2.4+1.44+...
The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is obtained that the common ratio is,
r=2.4/4
r=0.6
The Sum of an infinite geometric sequence is,
S = a / (1-r)
S=4 / (1-0.6)
S=10
Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.
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let g(x)= -x^2+4x+4. Find g(p). g(p)=_____
Answers
Answer:
g(p)= -p^2+4p+4
Step-by-step explanation:
g(x)= -x^2+4x+4
Replace x with p
g(p)= -p^2+4p+4
Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?
Answers
Answer:
51.25
Step-by-step explanation:
Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.
Answer:
Multiply the price with the tip rate
18% = 0.18
62.5 x 0.18 = 11.25
that is the tip. We add that on to find the total price
62.5 + 11.25 = 73.75
73.75 dollars is the answer. Hope this helps
Step-by-step explanation:
An isosceles triangle has legs whose lengths are 10 inches and a base whose length is 12 inches. Which of
the following is the area of the triangle in square inches?
(1) 34
(2) 48
(3) 60
(4) 84
Answers
Answer:
48
Step-by-step explanation:
We have to find the height of the triangle to find its area. The altitude to the base of an isosceles triangle is also the median, meaning the altitude forms a 6-8-10 right triangle, so the length of the height is 8, and therefore the area is 0.5 * 8 * 12 = 48.
Find the volume round to the nearest tenth ( show work)
Answers
Answer:
2,144.7
4 x pi x (radius x radius x radius / 3)
4 x pi = 12.5663706
8 x 8 x 8 / 3 = 170.66
12.5663706 x 170.67 =2,144.66 rounded is 2,144.7
Hope this helps
Step-by-step explanation:
