the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.
Answers
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
James is from Rochester. Today, he has to travel to Cannon Falls for a morning meeting and then to Austin for an afternoon meeting and then home again. Cannon Falls is 45 miles directly north of Rochester. Austin is 42 miles directly west of Rochester. There is a nice straight road from Cannon Falls to Austin. Calculate the total distance he will be driving. Round your answer to the nearest mile.
(Drawing a map may be helpful.)
Answers
Answer:
His total distance is 149 miles.
Step-by-step explanation:
Use the Pythagorean theorem to find the value of the straight road from cannon falls to austin. Then add that value with 42 and 45.
for these two rates, calculate the unit rate and determine if these two rates are proportional
Answers
PLEASE HELP ME 100 POINTS (make full screen)
Answers
Answer:
See belowStep-by-step explanation:
Part 1Corresponding angles and sides of ΔMNP and ΔUVW are congruent:
∠M ≅ ∠U MP ≅ UW∠P ≅ ∠W PN ≅ WV∠N ≅ ∠V MN ≅ UVPart 2The triangles are congruent by SAS. One side and angle marked as congruent and another side is congruent as common to both.
Corresponding sides are congruent:
3x - 5 = 2x + 13x - 2x = 1 + 5x = 6Part 3Given ∠C ≅ ∠D
In order to prove the congruence of ΔAED and ΔBEC by ASA we need another angle and the included side to be congruent.
We can observe ∠AED ≅ ∠BEC as vertical angles.
Additional information we need is:
DE ≅ CEPart 4Triangles ABC and ADC are congruent by SAS:
AB ≅ AD∠DAC ≅ ∠BACAC ≅ ACTherefore corresponding sides BC and CD are also congruent
Perimeter of ABCD is:
P = AB + BC + CD + ADP = 12.1 + 7.8 + 7.8 + 12.1 = 39.8 cmAnswer:
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Answers
Like terms
9x + 99 = 180
9x = 81
X = 9
Hope this helps!
Brainliest is much appreciated
the 200$ camera was on sale 15% off what was the price
Answers
15% off 100 is $15 x2 is 30
Answer:
$170
Step-by-step explanation:
137x723+462x50=?
do yall think its ok for your girl to k.i.s.s. other people?
and would yall let it slide and think it was a joke?
Answers
Marcus dropped a ball from a height of 400 cm. The sequence below shows the height of the ball, in cm, during its first four bounces.
240, 144, 86.4, 51.84,
Which formula could be used to determine the height of the ball after n bounces?
A. h(n) = 400(0.60)^n
B. h(n) = 400(0.60)^(n-1)
C. h(n)= 240(0.60)^n
D. h(n) - 240(0.60)^(n-1)
(nvm, I figured it out. sorry lol)
Answers
Answer: The answer is C.
make x the subject of the following formula:
ax - ay = cx + by
please help
Answers
x = by + ay / a - c
Step-by-step explanation:
Given that
ax - ay = cx + by
Collect like terms
ax - cx = by + ay
Factorize both sides
ax - cx = by + ay
x(a - c) = by + ay
Divide both sides by (a - c)
x(a - c) = by + ay
x = by + ay / a - c
Making x the subject of the formula would be
x = by + ay / a - c
Learn more about subject of formula here : https://brainly.com/question/859711
can someone please help?!
Answers
Answer:
Plot the points (0,0) and (1,3) to make the line.
Step-by-step explanation:
We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.
27/70 in simplest form
Answers
Answer:
27/70
Step-by-step explanation:
27/70 is the simplest form anyway
but it's 0.385 if we calculate
one kilogram of cheese costs £9.48
chris buys 650 g of this cheese
work out how much chris pays
Answers
Answer: $6.16
Step-by-step explanation:
100g = $0.948
50g = $0.475
$0.948*6 = $5.688
$5.688 + $0.475 = $6.163
Rounded = $6.16
Write the slope-intercept form of the equation
of the line through the given point with the
given slope.
17) through: (-5, -3), slope
5
A) y = x - 2
B) y=1/5x - 2
C) y = -x - 2
D) y=-3x - 2
Answers
Answer:
y=5x+22
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=5(x-(-5))
y+3=5(x+5)
y=5x+25-3
y=5x+22
The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.
Answers
Answer:
even
Step-by-step explanation:
Admission to the gymnastics meet was $2.40 for adults and $1.25 for students. If 540
tickets were sold for a total of $934.90, how many tickets of each were sold? (i’ll give brainliest just answer within the next 15 mins pls!!)
Answers
Answer:
hi friends I need help with the following me
What is 3 divided by 7 pretty confused since I was on break for a long time
Answers
Answer:
3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)
Answer:
It’s a decimal, (0.42857142857)
Step-by-step explanation:
Find the perimeter of the shape below:
Answers
Answer:
8m
Step-by-step explanation:
A real estate agent sold a lot for P550,000.00. If his agency pays 10% commission, how much commission will he/she receive?
Answers
Answer:
P55,000
Step-by-step explanation:
The amount of commission is found by multiplying the commission rate by the value of the sale(s).
commission = rate × sales
commission = 0.10 × p550,000 = P55,000
The agent will receive P55,000 in commission.
_____
Check
The amount of commission cannot be more than the value of the sale. It is generally a small fraction of the sale value. Here, it is 1/10.
31. What are the perimeter and area
of AXYZ?
Х
5
W
Y
m
12
12
9
greater than
and less than
Z
=
A P= 28; A = 540
B P=42; A = 84
© P= 50; A = 216
DP= 54; A = 57
Answers
Answer:
tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part
Tina needs 36 flowers for her next project. The flowers are sold in bunches
of 5.How many bunches will she need?
Answers
MAS CARDS
5. Determine if the equation has one solution, no solution, or infinite
solutions.
-2(x – 3) + 5 = -6(x + 1) + 4x
One solution
No solution
Infinite solutions
Answers
-2(x-3)+5=-6(x+1)+4x
Multiply to get rid of the parentheses
-2 x X = -2x
-2x-3=6
6 x X = 6x
6x1=6
New equation = -2x+6+5=-6x+6+4x
Add same
6+5=11
-6x + 4x = -2x
New equation = -2x+11=-2x+6
That just doesn’t work
Answer:
No solution
Step-by-step explanation:
-2(x-3)+5= -6(x+1)+4x
First Distribute:
-2x+6+5= -6x-6+4x
Then transfer all variables to one side and the rest to other side:*when transfer u turn to opposite number for example: -6x will transfer to 6x
6+5+6= -6x+4x+2x
Last solve
17=0
no solution
ALGEBRA Find x and y so that each quadrilateral is a parallelogram.
(Please do at least 2, but doing all 4 would be greatly appreciated, and i will mark u brainliest.)
Answers
y=19
2x-8=x+16
2x=x+24
x=24
8) y=14
x=3
9) x=44
y=20
10) x=17
y=9
5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)
Answers
Answer
A
Step-by-step explanation:
The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
What is an arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given series is -4, -1, 2, 5, 8. The common difference of the series is calculated as,
d = -1 - ( -4 )
d = -1 + 4
d = 3
The equation will be written as,
an = a₁ + d(n - 1)
an = -4 + 3(n - 1)
Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
To know more about arithmetic progression follow
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You are trying to show that two triangles are similar. Which of the following statements can help you establish similarity?
A) The sum of the side lengths of every triangle is always the same.
B) Dilating a triangle does not change the measurements of the triangle's angles.
C) Applying a rigid transformation to a triangle changes the triangle's angle measures.
D) Triangles with at least one set of congruent angles must be similar.
Answers
The answer is B) Dilating a triangle does not change the measurements of the triangle's angles.
Help? If im given the option ill give you brainliest!
Answers
Answer:
Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.
Step-by-step explanation:
Help help math math
Answers
Answer:
C=31.41592654
Step-by-step explanation:
C=2πr
r=5
C=2π(5)
Therefore C= 10π or C=31.41592654
Answer:
C = 31.4
Step-by-step explanation:
The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?
Answers
Answer:
20 ft
Step-by-step explanation:
The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:
4(5 ft) = 20 ft
The height of the bird house is 20 ft.
Step-by-step explanation:
that creates 2 similar triangles.
that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
so,
3.5 × f = 14
f = 14/3.5 = 4
and now the range factor applies in the relation between the heights :
5 × 4 = 20 ft
the bird house is 20 ft high.
Write an inequality that represents the graph
Answers
Step-by-step explanation:
first step is to define the line, and then, secondly find the right direction of the inequality.
we see a few nice points with integer coordinates.
the one on the y-axis is particularly helpful (0, 1), as it gives up the y- intercept right away (1).
another point is (1, 3).
so, the slope is
x changes by +1 (from 0 to 1)
y changes by +2 (from 1 to 3)
so the slope is 2/1 = 2
that means our equation is
y = 2x + 1
the graph says that the inequality is everything bigger than the line value, and the line is not included (dashed line).
so, we get
y > 2x + 1
How can you identify a linear function?
Answers
Answer:
Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.
Step-by-step explanation:
Here is a trapezium.
20 m
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
ol
(20+30)(13)
+5 m
+5 m
=(10+30)(13)
= 40x13
= 520 m²
What two mistakes did Jenny make in her method?
Answers
Answer:
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
Step-by-step explanation:
Solve for g.
f=1/3(g+h-k)
help it’s timed
Answers
Answer:
g = 3f - h + k
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3