The variance of the set { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 } is 7.5
What is Variance?
Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value
Given data ,
The set S = { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 }
Step 1 :
To calculate the mean ,
Mean = Sum of Observations / Number of Observations
= ( 2 + 6 + 8 + 3 + 7 + 9 + 1 + 4 ) / 8
= 40 / 8
= 5
Step 2 :
Take each difference from mean and square it
( 2 - 5 )² = 9
( 6 - 5 )² = 1
( 8 - 5 )² = 9
( 3 - 5 )² = 4
( 7 - 5)² = 4
( 9 - 5 )² = 16
( 1 - 5 )² = 16
( 4 - 5 )² = 1
And Sum of 9 + 1 + 9 + 4 + 4 + 16 + 16 + 1 = 60
Step 3 :
Variance = The mean of squared difference
= 60 / 8
= 7.5
Hence , the variance is 7.5
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If the circumference of a circular ground is 616m, find its radius
Answer:
98 m
Step-by-step explanation:
2πr = circumference = 616
2*22/7*r = 616
44/7*=616
r = 616*7/44
r = 14*7
r = 98 m
Answer:
98
Step-by-step explanation:
:)
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 3.4 × 105 words. Samuel can type 3.4 × 105 words in hours and minutes.
Answer:
8.925 minutes or 0.14875 hours..?
Step-by-step explanation:
I feel like I'm missing something here... The 3.4 x 105 words seems off. Why didn't they just say 357 words?
Assuming that he types 40 WPM and they're looking for how long it would take for him to type 357 words:
[tex]3.4*105 = 357[/tex] words total
[tex]\frac{357}{40} = 8.925[/tex] minutes
[tex]\frac{8.925}{60} = 0.14875[/tex] hours
Jillian brought a sweater for $8 less than half its original price. She paid $18 for the sweater. What is the original price of the sweater ?
Answer:
She paid $52.
Step-by-step explanation:
Use reverse operations to solve.
18 + 8 = 26
26 * 2 = 52
Solve 3q - 5 = 13 for q.
⇒ Answer:
[tex]q = 6[/tex]
⇒ Step-by-step explanation:
Lets solve!
[tex]3q -5 = 13[/tex]
⇒ First we add 5 to both sides.
[tex]3q -5 = 13[/tex]
[tex]+ 5[/tex] [tex]+ 5[/tex]
[tex]3q = 18[/tex]
⇒ Next we divide both sides by 3.
[tex]\frac{3q}{3} = \frac{18}{3}[/tex]
[tex]q = 6[/tex]
⇒Woohoo! Brainliest Appreciated! Hope I helped!
Answer:
q = 6
Step-by-step explanation:
To solve for q, isolate the variable.
3q - 5 = 13
Move -5 to the right side and perform the inverse operation. Since you were subtracting on the left, add on the right.
3q = 13 + 5
3q = 18
The last step is to isolate the variable by dividing 3 by 18. The reason you divide on the right is because you were multiplying on the left, and you need to perform the inverse operation.
q = [tex]\frac{18}{3}[/tex]
q = 6
Write 67/18 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
Answer:
67/18 is 3.72 as a decimal.
Step-by-step explanation:
I know this because, to turn a fraction into a decimal, you must divide the numerator by the denominator.
67 ÷ 18 = 3.72
Therefore, 3.72 is my answer.
help please!!!!!!!!
To watch a varsity basketball game, spectators must buy a ticket at the door.the cost of an adult ticket is 3.00 dollars and the cost of a student ticket is 1.50 dollars.If the number of an adult ticket sold is represented by a and student is represented ticket sold by a which expression represents the amount of money collected at the door from the ticket sale
Answe
Step-by-step explanation:
Help me answer number 15 please
Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x − 15. Check whether Samantha’s equivalent expression is correct using x = 2. Samantha is incorrect because when using x = 2, the resulting values in both expressions are different. Samantha is incorrect because the expressions cannot be checked using x = 2. Samantha is correct because when using x = 2, the resulting values in both expressions are equal.
Answer:
The correct answer is c
Answer:
Answer is c
Step-by-step explanation:
Your welcome
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y= 8x +7
Step-by-step explanation:
slope-intercept form:
y= mx +c, where m is the gradient (or slope) and c is the y-intercept.
Since it is a linear function, the gradient of any 2 points would be equal.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Thus, gradient of the line
[tex] = \frac{39 - 23}{4 - 2} \\ = \frac{16}{2} \\ = 8[/tex]
Subst. m=8 into the equation:
y= 8x +c
To find the value of c, substitute a pair of coordinates.
When x=0, y= 7,
7= 8(0) +c
c= 7
Thus, the equation of the linear function is y= 8x +7.
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
Answer:
(f-g)(x) would be 2x-3
select all pairs of congruent angles
Answer:
1,4
2,3
1,6
6,7
5,8
5,2
1,6
7,2
8,1
3,6
4,5
1,5
2,6
3,7
4,8
Step-by-step explanation:
Alternate interior, exterior, vertical, and complemetary angles are congruent.
The pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
From the given figure,
Vertically opposite angles:
∠1≅∠4
∠2≅∠3
∠5≅∠8
∠6≅∠7
Alternate interior angles:
∠3≅∠6
∠4≅∠5
Alternate exterior angles:
∠1≅∠8
∠2≅∠7
Corresponding angles:
∠1≅∠5
∠2≅∠6
∠4≅∠8
∠3≅∠7
Therefore, the pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
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Please Help! 30 Points. BRAINLIEST FOR CORRECT ANSWER!
Answer:
c20
Step-by-step explanation:
5. What are the next three terms in the sequence 2.0, 3.5, 5.0,
6.5, ...?
A. 8.5, 9.0, 11.5
C. 8.25, 11.75, 14.5
B. 8.0, 9.5, 11.0
D. 7.0, 8.5, 9.0
Answer:
C
Step-by-step explanation:
it increases by 1 and a half each time
Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?
Answer:
To do this, you need to find the amount of discount of the original price. To find a percent of a number you first convert the percent to a decimal (i.e. 25% = 0.25). Then you multiply this decimal by the original price. Therefore, the sale price is $17.21. If example.
Step-by-step explanation:
Answer:
102.144
Step-by-step explanation:
128 times 0.25 = 32
128 - 32 = 96
96 times 1.064 = 102.144
She will need to pay 102.144
Which expression is equivalent to (4n³p)²(2n²p⁴)³?
a. 128n³⁶p²⁴
b.48n¹²p¹⁴
c.128n¹²p¹⁴
d.48n³⁶p²⁴
Answer:
C: 128n¹²p¹⁴
Step-by-step explanation:
I plugged this into my TI-89 calculator and got this answer. Let me know if you need the step by step explanation and I'll be more than happy to hand-solve it for you!
How do I distribute 9 - (8r +5)
The - part confuses me
Answer:
you distribute the - not the 9
Step-by-step explanation:
so your problem would be
9-8r-5
( act as if there is a one in front of the negative sign)
hope this helps :)
Which expressions are equivalent to the given expression?
Answer:
It is the 2nd answer choice 4 check 5
Step-by-step explanation:
Answer:
The 2nd and 5th expression.
Show your work. Round to the nearest cent when necessary.
2.)What costs the least per bag? A or B?
A: 20 bags for $6.00
B: 32 bags for $9.92
Guys I need the answer super fast please help giving allot of points
Answer:
Option A
Step-by-step explanation:
Bag A: 30 cents per bag
Bag B: 31 cents per bag
In order to find Cents per bag divide the number of bags from the amount it costs.
Bag A: 6 ÷ 20 = 0.30
Bag B: 9.92 ÷ 32 = 0.31
Answer:
B
Step-by-step explanation:
I say B cost the least per bag. I divided 32 by 9.92 and 20 by 6. That gives me the answers to what each bag costs. bag A costs 3.34 for each bag and bag B costs 3.22. So bag B is cheaper.
i had 50 candies yesterday, and now i have 35. find the percent of decrease
Answer: you lost 15 candies
Step-by-step explanation:
Answer:
30% is the decrease percent
Select the expression that has a value of 6.
1. 2,400 divide by 40
2. 2,400 divide by 4
3. 240 divide by 40
4. 240 divide by 4
Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?
Pensé un número, le saque la mitad y luego le reste 15,con lo que obtuve 125. ¿Cuál es el número que pensé?
What is the amount of discount?
Answer:
$3.75
Step-by-step explanation:
give brainliest please
Graph the equation
y-3=-3/2(x+4)
Answer: x = (-2,0) y = (0,-3) slope is -3/2
Step-by-step explanation: graph the line by using the slope and y intercept
The graph for the points (0, -3) and (2, -6) is plotted on the graph below.
The given equation is y-3= -3/2(x+4).
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Graph the line using the slope and y-intercept, or two points.
Slope: -3/2
y-intercept: (0, -3)
Plot the points (0, -3) and (2, -6) on the graph
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−2,0)
y-intercept(s): (0,−3)
Therefore, the graph for the points (0, -3) and (2, -6) is plotted on the graph below.
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HELP ASAP THIS IS DUE IN 5!!!!
Find the slope of the line.
O -2/5
O 2/5
O 5/2
None of the above
Answer:
2/5
Step-by-step explanation:
Which expression has exactly 2 terms
A.5y2
B.A+b+2
C.3x+y
D.4n
Answer: C
Step-by-step explanation:
POINTS plus will mark BRAINLIEST for the correct answer
Answer:
I believe the answer is 9
Step-by-step explanation:
The most balloons she has is 180 and she can make 20 animals with that so 180/20=9
Write as a product:
a2+b2–2ab –25
Answer: -a2 - 2ab - b2 + 25 =
-1 • (a2 + 2ab + b2 - 25)
Final result :
-a2 - 2ab - b2 + 25
Step-by-step explanation:
Please help me, i dont really get the questions here
Answer:
c
Step-by-step explanation:
the other 3 have the moon and star connected 3 times but c only has it connected twice on the ends of the three moons.