The mean of the exam score is 65.56
The given exam data is as follows;
Possible Score range ----------- frequency (f) -------- score (x) -----------(fx)
40 - 50 ------------------------- 21 ------------------- -----45 -------------- 945
50 - 60 --------------------------- 39------------------------55 ---------------2145
60 - 70 ----------------------------- 40---------------------- 65 ---------------- 2600
70 - 80 ------------------------------ 34 --------------------- 75 ----------------- 2550
80 - 90 ------------------------------ 28 --------------------- 85 ---------------- 2380
Note:[tex]score (x) = \frac{sum \ of \ the \ range }{2} , \ example \ \frac{40+49.99}{2} \approx 45[/tex]
The sum of the frequency (f) = 162
The sum of fx, ∑fx = 10620
The mean of the exam score:
[tex]\bar x = \frac{\Sigma fx }{\Sigma f} = \frac{10620}{162} = 65.56[/tex]
Therefore, the mean of the exam score is 65.56
To learn more about grouped mean calculation please visit: https://brainly.in/question/20735794
Rearrange the equation A = xy to solve for x.
Ox=y
A
1
Ox=
Ау
х
OX=
y
Ox-A
y
9514 1404 393
Answer:
x = A/y
Step-by-step explanation:
Divide both sides of the equation by y
A = xy
A/y = (xy)/y . . . . . . divide by y
A/y = x . . . . . . . . . .simplify
x = A/y . . . . . . . . . write with x on the left
The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers?Shown working out please
Let numbers be x and y
ATQ
x+y=49---(1)x-y=9---(2)Adding both
[tex]\\ \sf\longmapsto 2x=58[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{58}{2}[/tex]
[tex]\\ \sf\longmapsto x=29[/tex]
Now putting value in eq(2)
[tex]\\ \sf\longmapsto x-y=9[/tex]
[tex]\\ \sf\longmapsto 29-9=y[/tex]
[tex]\\ \sf\longmapsto y=20[/tex]
the cost of using 19 hcf of water is $36.48 and the cost of using 32 hcf is 56.63 what is the cost of using 28 hcf of water?
Answer:
$54.32
Step-by-step explanation:
19=$36.48/19 =1.94
1=$1.94 * 28= 54.32
28=54.32
ZA and ZB are vertical angles. If m A = (5x + 2)° and mZB = (6x – 12),
then find the value of x.
Answer:
x = 14
Step-by-step explanation:
Vertical angles are equal
5x+2 = 6x-12
Subtract 5x from each side
5x+2-5x = 6x-12-5x
2 = x-12
Add 12 to each side
2+12 = x-12+12
14 =x
There is a pair of x and y values that make each equation true in this system of equations
{5x + 3y = 8
{4x + 7y = 34
Explain why the same pair of values also make 9x + 10y = 42 true.
Given Equations
5x+3y=8--(1)4x+7y=34--(2)Let it has solution (x,y)
Add both
[tex]\\ \sf\longmapsto 5x+4x+3y+7y=8+34[/tex]
[tex]\\ \sf\longmapsto 9x+10y=42[/tex]
It will also have same solution (x,y)
The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of linear equations is given below.
5x + 3y = 8 ...1
4x + 7y = 34 ...2
From equation 1, then we have
5x + 3y = 8
y = 8/3 - (5/3)x
Put in equation 2, then we have
4x + 7[8/3 - (5/3)x] = 34
12x + 56 - 35x = 102
-23x = 46
x = - 2
Then the value of y is calculated as,
y = 8/3 - (5/3)(-2)
y = 8/3 + 10/3
y = 18 / 3
y = 6
Let's check whether (-2, 6) satisfy the equation 9x + 10y = 42 or not. Then we have
9(-2) + 10(6) = 42
- 18 + 60 = 42
42 = 42
The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
7 (w+8) = 2w+10
What is the value of w makes the equation true? Enter the answer in the box.
Test.mapnwea.org.
Answer:
w = -46/5
Step-by-step explanation:
Answer:
w=-9.2
Step-by-step explanation:
7(w+8)=2w+10
7w+56=2w+10
7w-2w=10-56
5w=-46
w=-9.2
By Using 0,2,4,5,6 Write The Smallest And Greatest Number Of 5 digit
Answer:
Smallest number:20456
Greatest number:65420
14 over 17 as a decimal rounded to the nearest tenth
Step-by-step explanation:
14/17 is 0.82352941176
To the nearest tenth is 0.8
prove (sinxsiny-cosxcosy)(sinxsiny+cosxcosy) =sin^2x-cos^2y
Step-by-step explanation:
Recall that [tex]\sin^2x + \cos^2x = 1[/tex]
[tex](\sin x \sin y - \cos x \cos y)(\sin x \sin y + \cos x \cos y)[/tex]
[tex]= \sin^2 x \sin^2 y - \cos^2 x \cos^2 y[/tex]
[tex]= \sin^2 x (1 - \cos^2 y) - \cos^2 x \cos^2 y[/tex]
[tex]= \sin^2 x - \sin^2 x \cos^2y - \cos^2x \cos^2y[/tex]
[tex]= \sin^2x - (\sin^2x + \cos^2x)\cos^2y[/tex]
[tex]= \sin^2x - \cos^2y[/tex]
9 hundred thousands = how many
ten thousands
Answer:
90 is the answer:)
Step-by-step explanation:
I hope it helps you. Have a marvellous day!
Answer:
90 is the answer
Step-by-step explanation:
If p=(3/4)and q=(1/2)find p-2q
Answer:
[tex]p - 2q \\ \frac{3}{4} - 2( \frac{1}{2} ) \\ = \frac{3}{4} - \frac{2}{2} \\ = \frac{3}{4} - 1 \\ = \frac{3 - 4}{4} \\ = \frac{ - 1}{4} \\ = - 0.25[/tex]
I hope I helped you^_^
There are 10 black balls and 15 red balls in the urn. If you take out a ball, what is the probability that it is black?
Answer:
nfngkfngmnfjf jvfjkfntfknddjhdhdbdbdb
Answer:
2/5
Step-by-step explanation:
P(black)=10/25=2/5
what is the probability that the 2 cards you will draw will be blackjacks?
Answer:
Need more explation of the question
Step-by-step explanation:
Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?
howdy!!
yr answer is the third graph!
What is the equation of the graph below?
Answer:
f(x)=5cos(1/3x) this is an equation
A banquet hall offers two types of tables for rent: 6-person rectangular tables at a cost of $28 each and 10-person round tables at a cost of $52 each. Kathleen would like to rent the hall for a wedding banquet and needs tables for 250 people. The hall can have a maximum of 35 tables, and the hall has only 15 rectangular tables available. How many of each type of table should be rented to minimize cost and what is the minimum cost?
Answer:
940
Step-by-step explanation:
so the cheapest table is the rectangular table coming at around $4.6 per person while the 10 person table comes at $5.2 per person.
That being said we can only have 15 rectangular tables so thats a total of 150 people at a total of $420. We still need 100 more people so we would need 10 round tables so 52 * 10 = 520 and plus our previous total 420 + 520 our total comes down to 940.
If you liked this answer please consider giving it brainliest
Solve the word problems. The price of a bed was $2600. MDM Yap bought the bed and had to pay an additional 7% GST. (a) What was the amount of GST she had to pay? (b) What was the price of the bed including GST?
Answer:
Step-by-step explanation:
Evaluate x^-2 (x = -3)
Hey there!
[tex]\mathsf{x^{-2}}[/tex]
[tex]\mathsf{= -3^{-2}}[/tex]
[tex]\mathsf{= -1 \times 3^{-2}}[/tex]
[tex]\mathsf{3^{-2}}[/tex]
[tex]\mathsf{= \dfrac{1}{3\times3}}[/tex]
[tex]\mathsf{= -1 \times \dfrac{1}{3\times3}}[/tex]
[tex]\mathsf{= -\dfrac{1}{3\times3}}[/tex]
[tex]\mathsf{3\times 3}[/tex]
[tex]\mathsf{= 3^2}[/tex]
[tex]\mathsf{= - \dfrac{1}{3^2}}[/tex]
[tex]\mathsf{3^2}[/tex]
[tex]\mathsf{= 3 \times 3}[/tex]
[tex]\mathsf{= \bf 9}[/tex]
[tex]\mathsf{-\bf \dfrac{1}{9}}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: }\boxed{\bf - \dfrac{1}{9}}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the measure of m?
Answer:
√245
Step-by-step explanation:
altitude on hypotenuse theorem:
m^2=7*35
m^2=245
m=√245
Find the value of x.
A. 57
B. 72
C. 90
D. 124
Answer:
90
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
105 = 1/2 (120+x)
210 = 120+x
Subtract 120 from each side
210-120 = x
90 =x
The value of Intercepted Arcs x will be 90. so option C is correct.
What is the relation between line perpendicular to chord from the center of circle?If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.
Or
|AC| = |CB|
Angle Formed by Two Chords= 1/2 (Sum of Intercepted Arcs)
105 = 1/2 (120+x)
210 = 120+x
Subtract 120 from each side;
210-120 = x
90 =x
Hence, the value of Intercepted Arcs x will be 90. so option C is correct.
Learn more about chord of a circle here:
https://brainly.com/question/27455535
#SPJ5
You buy 7 bags of chips and 3 package of cookies for $17. Your best friend buys 3 bags of chips and 1 package of cookies for $7 how much does each bag of chips cost
Answer:
bag of chips = 2
cookies=1
Step-by-step explanation:
b = bags of chip cost
c = cookie cost
7b+3c = 17
3b +1c = 7
Multiply the second equation by -3
-9b -3c = -21
Add this to the first equation
7b+3c = 17
-9b -3c = -21
------------------------
-2b = -4
Divide by -2
-2b/-2 = -4/-2
b = 2
Now find c
3b +1c = 7
3(2)+c = 7
6+c =7
c = 7-6
c=1
Instructions: Determine whether the following polygons are
similar. If yes, type in the similarity statement and scale factor. If
no, type 'None' in the blanks.
Answer:
None
Step-by-step explanation:
The given angles aren't equal which is needed for the polygon to be similar
No, the following polygons are not similar.
Used the concept of a similar figure that states,
In terms of Maths, when two figures have the same shape but their sizes are different, then such figures are called similar figures.
Given that,
Two polygons EFGH and JKLM are shown in the image.
Now the corresponding sides of both figures are,
EF = 27
JK = 63
And, EH = 27
JM = 63
Hence, the ratio of corresponding sides is,
EF/JK = 27/63
= 9/21
= 3/7
EH/JM = 27/63
= 3/7
So their corresponding sides are equal in ratio.
But their corresponding angles are not the same.
To learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ4
of a loaf of brown bread costs R6, how much will 4 halves cost?
Answer:
R12
Step-by-step explanation:
Answer: R12
Explanation:
Cost of 1 loaf = R6
Cost of 4 halves = 6/2×4
= 6 × 2
= R12
Please click thanks and mark brainliest if you like
3 coins Priya spends $45 on gas, $10 on dinner, and $8 on a video game. How much money did Priya spend on variable expenses?
Answer:
3x=63
Step-by-step explanation:
3 coins means a coin is x and total expenditure is equal to 63
Can someone help please
Step-by-step explanation:
a) The volume of the prism is
[tex]V = (n^2 - 1)×(n^2 - 1)×(5n)[/tex]
[tex]\:\:\:\:= (n^4 - 2n^2 + 1)(5n)[/tex]
[tex]\:\:\:\:=5n^5 - 10n^3 + 5n[/tex]
b) If the dimensions L of the prism are tripled, the new volume will be
[tex]V' = (3L)^3 = 27L^3 = 27V[/tex]
so it will increase by a factor of 27.
The sum of the lengths of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 11 cm and a second side that is 1 cm less than twice the third side, what are the possible lengths for the second and third sides?
Multiply the binomials. ( 7 x − 12 ) ( 9 x − 8 )
I hope this helps :]
63x2−164x+96
Answer:
63x² - 164x + 96
Step-by-step explanation:
Use the FOIL method:
7x · 9x = 63x²
7x · -8 = -56x
9x · -12 = -108x
-12 · -8 = 96
63x² - 56x - 108x + 96
63x² - 164x + 96
HELP ,E P[LE[PAK LIUDGHMLA FsgdfsA FSD
Answer:
11 is the mean, median,mode
HOW TO FIND THE MODE
Find the number that is seen most often in the dataset.
HOW TO FIND THE MEDIAN
Find the number that's in the middle.
HOW TO FIND THE MEAN
Add all the numbers together. Then, divide by the amount of numbers in the dataset.
Step-by-step explanation:
Can some help with the answer please it’s very much needed and apprIeciated
Answer:
Step-by-step explanation:
If f(x) =3x-2 and g(x) = 2x+1, find (f+g) (x)
Answer:
3x-2+2x+1+X
3x+2x+x-2+1
6x-1
