the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.
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Using the histogram, the mean of the data-set is estimated to be of 31.
The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.In this problem, the intervals and relative frequencies are:
The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].Hence, the mean is:
[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]
For more on mean of histograms, you can check https://brainly.com/question/24651197
Related Questions
please ignore the work below it!! i am pretty sure it’s wrong!!
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May I please receive help?
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Answer:
um
Step-by-step explanation:
Solve this please do the model
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hi guys can y’all help me with this problem? i’m stuck :p
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When you reflect across the y-axis, the sign of x changes
When you reflect across the x-axis, the sign of y changes
So the answer should be the first one
What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFraction x squared 4 x minus 1 Over x (x 2) EndFraction StartFraction x squared 4 x 1 Over x (x 2) EndFraction StartFraction 4 Over negative 1 (x squared x minus 2) EndFraction StartFraction x squared 6 x 1 Over x (x 2) EndFraction.
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The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Given the expression:
[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\[/tex]Take the LCM of the fraction to have:
[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]
Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Learn more on fractions here; https://brainly.com/question/78672
Answer:
its B. x^2+4x+1 / x(x+2)
Step-by-step explanation:
did it on edge
can someone help me with this
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In a quadrilateral ABCD, line AC = x + 6 and line BD = 2x-4. For what value of x Is ABCD a rectangle?
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Answer:
x = 10
Step-by-step explanation:
The diagonals of a rectangle are the same length. This means ...
AC = BD
x +6 = 2x -4
10 = x . . . . . . . . add 4-x to both sides
The figure is a rectangle for x=10.
help with math asap!
ty in advance :)
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Answer:
2.108*10^3
Step-by-step explanation:
Desperately need help on question 2 & 3 !
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13
x=15
because of the other one is the only thing
I am asking how this is when I found the median is 14!
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Hi there!
2 3 5 5 9 11 13 14 14 17 20 22 24 28
If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.
Count 6 from both sides and we get the middle two numbers to be:
13 14
Take the average:
(13 + 14)/2 = 13.5
**This must be done if the amount of numbers given is EVEN.**
Answer:
Step-by-step explanation:
There are an even number of entries that make up the Data Set. (14 entries)
When you have an even number, you take the two entries that are at the center to find the median.
The values at the middle are entry seven which is 13 and entry eight, which is 14.
Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5
Otherwise I think you are correct.
in this lesson several postulates will help establish a way to draw angles
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Answer:
make 90°angle with the help of compase
Solve each equation
6y-8-6-8y=4
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Answer:
y = -9
Step-by-step explanation:
Combine like terms first; 6y-8y=-2y and -8-6=-14
-2y-14=4.
Then add 14 to both sides.
-2y=18
Lastly, divide both sides by -2
y=-9
Answer: = -9
Step-by-step explanation:
1. subtract -8-6 which equals -14
2. Combine like terms which are -8y and 6y and you should get -2y
3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18
4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2
5. and you should be able to cancel out -2y and get y= -9
6.3 rounded to the nearest whole number pls help me!!
Answers
Answer:
6
Step-by-step explanation:
Since .3 is below .5, you would not round 6 up to 7.
3. If you are calculating the acceleration of an object, and it has a speed of 30 km/hr
and the time is measure in hours what are the units for acceleration?
I
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We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.
So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).
Note that position is represented only with distance units, like km.
And to get a velocity you use the units km/h (that tell you how many kilometers your position changes in one hour).
Similarly, the rate of change of the velocity will be (velocity)/time.
(km/h)/h = km/h²
Which is kilometers per hour squared.
If you want to learn more about acceleration, you can read:
https://brainly.com/question/16710160
Scuba Steve dove to -20 meters to view the coral. He then ascended 12 meters before he paused to take in the sights of the beautiful fish. At what depth did he pause to see the fish? Write your answer as an integer.
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Answer:
-8
Step-by-step explanation:
Write an inequality that represents the graph.
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Answer:
y>1/2x+2
Step-by-step explanation:
We can describe 3x - 2 as an expression.
How can we describe the parts of the expression that the arrows point to?
3x- 2
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Given:
3x - 2
To find:
Describe the parts of the expression
Solution:
3x - 2Let us consider, f (x) = 3x - 2
The standard equation of the straight line is given by, y = mx + c
comparing the given equation with straight line equation, we get,
f (x) = y
m = 3
c = -2
m is the gradient of line
c is the y intercept (the graph crosses the y - axis)
what is the sign of -5 times (-1/-2)
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Answer:
-
Step-by-step explanation:
If Sue worked 28 hours this week and made $172 in tips, how much did her weekly pay
exceed what she would have made with minimum wage?
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Answer: 28 hours over 172$ that mean 6.14 per hour
so 257.88$ minimum for 42 hours
Step-by-step explanation:
28 hours over 172$ that mean 6.14 per hour
so if we say she work in one day 6 hours that mean in one weak 42 hours
so 42*6.14= 257.88 $
Easy math stuff- Geometry- **Requires big bran**
Answers
Answer:
8.2 CM
Step-by-step explanation:
ACCORDING TO THE MODEL
radius = 9*2 - 8*2
Diameter = 2 times radius
ok I cant too hard to explain because Im typing so its 8.2cm so
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
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Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex]∆VWZ(Side-Angle-Side)
Q.
10² + 20² - 5! = ?
note : ! it's a factorial sign
Goodluck
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[tex] = 10 {}^{2} + 20 {}^{2} - 5! \\ = 100 + 400 - \\ (5 \times 4 \times 3 \times 2 \times 1) \\ = 100 + 400 - 120 \\ = 500 - 120 \\ = 380[/tex]
10² + 20² - 5! = ？
Answer:-380
Explanation:-=> 10² + 20² - 5!
=> 100 + 400 - (5 × 4 × 3 × 2 × 1)
=> 100 + 400 - 120
=> 500 - 120
=> 380
find the equation to this line.
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Hope this helps!
Ok done. Thank to me :>
5/6+3/4+2/3 answer please
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Answer:
2.25
Explanation
2/3 can be made into 4/6 then added to 5/6
Grab 5/6 and add it to 3/4, we do this by making them have the same bottom number (denominator) so we multiply 9/6 (4/6 + 5/6) by 2 (both top and bottom number) so now we have 18/12 + 4/6 so now we can make 4 be 12 by multiplying it by 3, but we need to do that to the top number as well to make it balanced, so now we have 18/12 + 9/12 and we get 27/12 or 2.25.
The proportional relationship between the number of hours Taylor works, h, and her total earnings in dollars and cents, e, can be represented by the equation e=15.9he=15.9h. How much does she make in dollars and cents per hour?
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The amount she makes in an hour is $15.90.
The amount Taylor earns is directly proportional to the hours Taylor works.
The equation that can be used to represent direction proportion is:
y = kx
where:
y = dependent variable
k = constant of proportionality
x = independent variable
e = 15.9h
Amount earned in an hour
e = 15.9(1)
e = $15.90
A similar question was answered here: https://brainly.com/question/24799762
Round 2593.6781 to nearest thousandths.
Answers
Answer:
The answer is 2593.678
Step-by-step explanation:
A group of marine biologists on a marine expedition recorded the altitudes at which they found four animals. Which inequality correctly compares the altitudes at which they found the animals?
Creature Altitude (feet)
great white shark -430
sea urchin -452
sea turtle -502
garden eel -396
A.
sea turtle < sea urchin < great white shark < garden eel
B.
garden eel < sea urchin < great white shark < sea turtle
C.
great white shark < sea urchin < sea turtle < garden eel
D.
garden eel < great white shark < sea urchin < sea turtle
E.
sea turtle < great white shark < sea urchin < garden eel
Answers
Answer:
Option D
Step-by-step explanation:
Since we know that if the number is negative then the smaller the number is greater. Ex :-
-7 > -10
So,
Arranging the given altitude in descending order
-396 > -430 > -452 > -502
Hence,
The highest altitude is of garden eel. Then of great white shark. Afterward the altitude of sea urchin. At last the lowest altitude is of sea turtle
Answer:
Hope it will help you a lot.
1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm
Answers
Answer:
base: 22 37/54; sides: 56 17/108
Step-by-step explanation:
If we let x represent half the length of the base, and y represent the length of the side, then we have ...
2x +2y = 135 . . . . . perimeter relation
x^2 +55^2 = y^2 . . . . Pythagorean theorem relation
Solving for y and substituting into the second equation, we have ...
y = 135/2 -x
x^2 + 3025 = (67.5 -x)^2
3025 = -135x +4556.25 . . . . . . expand, subtract x^2
135x = 1531.25 . . . . . . . . . . add 135x -3025
x = 1531.25/135 = 11 37/108
The length of the base is double this value, 22 37/54.
The length of each side is 67.5 -11 37/108 = 56 17/108.
__
Check
The perimeter is the base plus two side lengths:
22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.
help? please and thanks
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None of the other ones make sense because in the first equation it isn’t either or, it has both multiplication and addition, not one or the other. Plus you are distributing the 9 into 2 and 6.
Marcus mixing blue paint and yellow paint the ratio of 2 to 3 to make a red paint he wants to make 45 L of repaint he began to make a table tell him thing about the problem but it’s not sure what to do next marks for in a man is also mixing paint if she wants to make sure paint by mixing 2 cups of blue hey with 4 cups of prepare amendments are Peyton is left with 48 cups of purple how many more cups of red paint did she use the blue paint
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Answer:
do you have any image of the question? If yes please pose here.
Answer:
See below:
Step-by-step explanation:
I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.