Answer: Mean = 7.8
Median = 9
Mode = 2,9
Step-by-step explanation: Mean is the average value of a data set. Mean from a frequency table is calculated as:
[tex]E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}[/tex]
E(X) = 7.8
Mean for the given frequency distribtuion is 7.8.
Median is the central term of a set of numbers. Median in a frequency table is calculated as:
1) Find total number, n:
n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46
2) Find position, using: [tex]\frac{n+1}{2}[/tex]
[tex]\frac{n+1}{2}=\frac{47}{2}[/tex] = 23.5
Median is in the 23.5th position.
3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9
Median for this frequency distribution is 9.
Mode is the number or value associated with the highest frequency.
In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.
Mode for this distribution is 2 and 9.
Following are the calculation of mean, median, and modes:
Given value:
[tex]\bold{x \ \ \ \ \ \ f} \\\\ 2\ \ \ \ \ 10 \\3\ \ \ \ \ 9\\9 \ \ \ \ \ 10\\11\ \ \ \ \ 7\\12 \ \ \ \ \ 3\\15 \ \ \ \ \ 4\\16 \ \ \ \ \ 3\\[/tex]
To find:
mean, median, and modes=?
Solution:
[tex]\bold{x \ \ \ \ \ \ f \ \ \ \ \ \ cf \ \ \ \ \ \ fx} \\\\2\ \ \ \ \ 10 \ \ \ \ \ 10 \ \ \ \ \ 20 \\3\ \ \ \ \ 9 \ \ \ \ \ 19 \ \ \ \ \ 27 \\9 \ \ \ \ \ 10\ \ \ \ \ 29 \ \ \ \ \ 90 \\11\ \ \ \ \ 7\ \ \ \ \ 36 \ \ \ \ 77 \\12 \ \ \ \ \ 3\ \ \ \ \ 39 \ \ \ \ 36\\15 \ \ \ \ \ 4\ \ \ \ \ 43 \ \ \ \ 60\\16 \ \ \ \ \ 3\ \ \ \ \ 46 \ \ \ \ 48 \\[/tex]
[tex]\Sigma f = 46 \ \ \ \ \ \ \ \ \ \ \Sigma fx= 358[/tex]
Calculating the Mean:
[tex]Mean=\frac{\Sigma fx}{\Sigma f}[/tex]
[tex]=\frac{358}{46}\\\\= 7.78[/tex]
Calculating the Median:
[tex]n= \Sigma f= 46[/tex]
[tex]Median=\frac{ (\frac{n}{2})^{th} +(\frac{n}{2} +1)^{th}}{ 2}[/tex]
[tex]=\frac{ (\frac{46}{2})^{th} +(\frac{46}{2} +1)^{th}}{ 2}\\\\=\frac{ (23)^{th} +(24)^{th}}{ 2}\\\\=\frac{ 3 +3}{ 2}\\\\=\frac{ 6}{ 2}\\\\=3[/tex]
Calculating the Mode:
Mode is the value of 'x' with the highest frequency is 10 for x= 2 and x=9 therefore, the mode is "2,9".
Learn more:
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Solve the system of equations –2x+y = 15 and 3x + 2y = -33 by combining
the equations.
Answer:
x=-9
y=-3
Step-by-step explanation:
Answer:
x=-3/7, y=99/7. (-3/7, 99/7).
Step-by-step explanation:
-2x+y=15
3x+2y=-33
----------------
-2(-2x+y)=-2(15)
3x+2y=-33
---------------------
4x-2y=-30
3x+2y=-33
----------------
7x=-3
x=-3/7
-2(-3/7)+y=15
6/7+y=15
y=15-6/7=105/7-6/7=99/7
The table represents the total miles traveled, y, after a number of hours, x.
Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420
Which linear equation represents the situation?
y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x
Answer:
y=60x
Step-by-step explanation:
i did it on edg2020
Answer:
(2.5,150)(4,240)
slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60
y = mx + b
slope(m) = 60
(4,240)...x = 4 and y = 240
now we sub and find b, the y int
240 = 60(4) + b
240 = 240 + b
240 - 240 = b
0 = b
so ur equation is : y = 60x + 0 which is written as : y = 60x <==
ANSWER NOW AND THEN U GET THE TEN POINTS
The student council is making bows for Red Ribbon Week. To make a complete bow, they need 234 feet of ribbon. If the student council has 1014 feet of ribbon, how many complete bows can they make?
Answer:
They made 3 8/11
Step-by-step explanation:
Write the number 270 as a sum of three numbers so that the sum of the products taken two at a time is a maximum. (Enter the three numbers as a comma-separated list.)
Answer:
x=y=z=90.
Step-by-step explanation:
let the 3 numbers be x,y,z.
let s be sum
s=x+y+z
we need to maximize xy+yz+zx
or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)
Use Lagrange's Multipliers
⇒ΔP= λΔS
⇒[tex]\frac{x+y}{x+z} =1[/tex]
⇒y=x
⇒\frac{x+z}{x+y} =1
⇒z=y
⇒x=y=z
⇒3x = 270
⇒x= 90
hence, x=y=z=90.
please give me answer I will give you brilliantly
Answer:
1) larger number
18 ; 14 ;17 ; 19
2.) smaller number
11, 16, 12, 15
Step-by-step explanation:
Given two numbers in each as follows :
A.) 18 ____ 12 ; 18 > 12
B.) 11 _____14 ; 14 > 11
C.) 15 ____ 17 ; 17 > 15
D.) 19 ____ 11 ; 19 > 11
Color the smaller number ::
20 ____ 11 ; 11 < 20
16 ____ 19 ; 16 < 19
12 ____ 13 ; 12 < 13
15 ____ 20 ; 15 < 20
Sketch the graph
y= -x + 4
Answer:
You would need to put points at:
(-4,6)
(-3,5)
(-2,4)
(-1,3)
(0,2)
(1,1)
(2,0)
(3,-1)
(4,-2)
(5,-3)
(6,-4)
The graph will look like the one attached:
Hope this helps!!
- Kay :)
WORTH 100 POINTS!
Gerry and Tony live 11 miles apart. Gerry leaves his home at 2:00 PM and bikes toward Tony's house at 25 miles/hour. At the same time, Tony leaves his home and bikes toward Gerry's house at 30 miles/hour. They wave as they pass each other. As soon as each boy reaches the others' home, they turn back around towards their own homes. This time, they stop when they see each other. How far are they from Gerry's home when they stop?
Please write an equation or more than one equation using Distance=Rate*Time.
Answer:
7miles
equations shown in work image below
work shown on the paper with more explanations because text is hard to write equations (sorry I used km but it is miles for your problem.)
:) please give a heart for thanks
and brainliest crown :)
Step-by-step explanation:
For both d=r*t
Each bikes to others house and leave at the same time so for Tony,
11 = 30*t
t= 11/30 hours
for Gerry,
11 = 25*t
t= 11/25 hours
Comparing these, with LCD,
Tony's time is 55/150
Gerry's time is 66/150
So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.
Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.
We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150
Step-by-step explanation:
For both d=r*t
Each bikes to others house and leave at the same time so for Tony,
11 = 30*t
t= 11/30 hours
for Gerry,
11 = 25*t
t= 11/25 hours
Comparing these, with LCD,
Tony's time is 55/150
Gerry's time is 66/150
So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.
Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.
We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150
Step-by-step explanation:
pick her as the brainliest
Write equations in slope-intercept form for three different lines that intersect at (-2,3).
Answer:
y = 3/2x + 6
y = -1/4x + 5/2
y = -x + 1
Step-by-step explanation:
I used the point (-2, 3) with a variety of slopes (3/2, -1/4, -1) and plugged the point and slope into y=mx+b to get 'b' (the y-intercept).
27/9 = 18/ x
Please select the best answer from the choices provided.
A: x = 9
B: x = 8
C: x = 6
D: x = 3
Answer:
x= 6 answer is correct answer
Answer:
C. x=6
Step-by-step explanation:
Hope this helped have an amazing day!
PLZ Help! Best answer gets brainliest!!!
Answer:
Your answer is 506.
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
506
Please give me brainiest and also add me please.
Answer:
506
Step-by-step explanation:
First, we have to solve 8 to the power of 3 according to PEMDAS, which will give us 512.
Since we have to follow PEMDAS or GEMDAS (whichever you know), we will have to multiply 9 by 2 next. That will give us the equation: 512 - 18 / 3
Then we have to divide 18 by 3 to give us 6 which will give us the equation: 512 - 6 which we can solve to get 506
(sorry if this is confusing but I hope it helped anyway)
There are 5 quarts left in the fridge. How many liters are in the fridge? (1 quart = 0.946 liters).
(0.5x - 0.6) + (0.75x - 0.1)
Answer:
1.25x-0.7
Step-by-step explanation:
0.5x−0.6+0.75x−0.1
=0.5x+−0.6+0.75x+−0.1 Combine Like Terms:
=0.5x+−0.6+0.75x+−0.1
=(0.5x+0.75x)+(−0.6+−0.1)
=1.25x+−0.7
Answer:
=1.25x−0.7
What is x if
f(x) = -2?
Answer:
Fx = -2 because if we multiply with the f and the x we will get Fx = - 2
Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points
Answer:
A) ASA
the third angle is the common one
which ordered pair is the solution set of -6x+2y>6
Answer:
C-(-3,4)
Step-by-step explanation:
How you solve this problem
Answer:
4.5cm, 7.5 cm, 6 cm
Step-by-step explanation:
Multiply 10, 8 and 6 by 0.75 to get answers
Answer: 4.5 , 6 , 7.5 will be the new measures
Step-by-step explanation:
Multiply each side by the dilation factor to find the new sides.
6*0.75 = 4.5
8 * 0.75 = 6
10*0.75 = 7.5
Joe Cool made 85% of the free throws
he attempted last season. If he made
51 free throws, how many did he
attempt?
Answer:
60 attempts
Step-by-step explanation:
Divide 51 by .85, and you get 60!
An experiment consists of rolling a single die and selecting a card from a standard deck. Use this information to answer the following three questions. What is the probability of rolling a 5 and selecting the ace of hearts
Answer:
1/160
Step-by-step explanation:
Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.
Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.
In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.
1/5 * 1/32 = 1/160
Which graph represents the equation (x – 1)2 + (y + 1)2 = 9?
Answer:
D
Step-by-step explanation:
The given equation (x – 1)² + (y + 1)² = 9 represents a circle with the center (1, -1) and a radius of 3.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
Given an equation (x – 1)² + (y + 1)² = 9
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Comparing with the general equation of a circle:
h = 1,
k = -1
r² = 9
r = 3
thus, the given equation (x – 1)² + (y + 1)² = 9 represents a circle with the centre (1, -1) and the radius of 3.
Learn more about Circle here:
https://brainly.com/question/11833983
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Help me please Help me please
(x-2)^2(x-3)(x+1)<0
Answer:
−1<x<2 or 2<x<3
Step-by-step explanation:
You need to find the critical points of the inequality first. Factor must be at left side of equation. Then set factors to 0. Be sure to check intervals in between critical points (test the intervals to see if they work/fit).
Hope this helps!
Help me with this question Pleaseee
Answer:
The answer is 81°
Step-by-step explaination:
To start, the top right angle and the bottom left angle are alternate interior angles, making them congruent. The same justification goes for the angles in the top left and bottom right. With this in mind, 37° + 44° = 81°. Every triangle's angles always add up to 180°, meaning that 180° - 81° = 99°. Because angle n and the angle we just found to be 99° are supplementary, they also add up to 180°, therefore 180° - 99° = 81° which is the value of angle n.
anyone up that can help me
Answer:
Step-by-step explanation:
reflection
Suppose that a population parameter is 0.3 and many samples are taken from the population. If the size of each sample is 40, what is the standard error of the distribution of sample proportions?
A. 0.095
B. 0.055
C. 0.072
D. 0.032
Answer:
0.072
Step-by-step explanation:
A P E X
Translate the sentence into an inequality.
A number c increased by 3 is greater than -27.
Answer:
Inequality: c + 3 > -27
x-axis =____
y-axis =____
y= x ____
y= -x____
Answer:
x-axis = (2, -3)
y-axis = (-2, 3)
y = x (3, 2)
y= -x (-3, -2)
Step-by-step explanation:
x-axis = (2, -3) The point is below the x-axis.
y-axis = (-2, 3) The point is left of the y-axis
y = x (3, 2) Plot the line y = x. The point is on the other side of the line.
y= -x (-3, -2) Plot the line y = -x. The point is on the other side of the line.
Ahmad had a piece of rope that was 7.14 meters long.
He cut off 0.09 meter to practice making knots. What
was the length of the rope after the cut?
I have a 72 in math. And I’m trying to bring it up. So if you know ANY of these PLEASE answer. I really appreciate it!
Answer:
12
Step-by-step explanation:
For the distance on the number line it is 12 because -9 count that up to 0 and then add the rest.
What is the value of the expression (2)?
Answer:
Where is the expresion ??
Step-by-step explanation:
Edna learned to sing a total of 16 pieces over the course of 8 weeks of voice lessons. After 10 weeks of voice lessons, how many pieces will Edna be able to sing, in total? Assume the relationship is directly proportional.