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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Alice needs twice as many yards of ribbon as Quincy. how many rolls of ribbon does Alice need? explain your answer i like your cut g
Answer: Twice the length of 322 yards is 644. If I divide by 15 I get 42 r14. Alice needs to buy 43 rolls of ribbon. I like your cut G !
Step-by-step explanation:
A hiker climbed up from the bottom of a mountain. His elevation increased at a rate of 40 feet each hour. Which equation models the change in his elevation at 3 hours.
O A.3(-40)=120
O B.(-3)(-40)=120
O C. 3•40=120
O D.3(-40)=120
Answer:
I believe it is C
Step-by-step explanation:
Answer:
Its C
Step-by-step explanation:
A-P-E-X
Two triangles have the same height. The base of one
triangle is twice that of the other. Find the difference in
their areas.
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
They both have same height,
let the height of both triangles be = x
let the base one triangle = y
then the base of another trainlgle = 2y
Area of triangle = 1/2 X B X H
Area of Triangle 1
[tex] \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} [/tex]
Area of Triangle 2
[tex] \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy[/tex]
Difference in the area =
[tex]xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} [/tex]
Hence Area of Triangle 1 is half the area of Triangle 2
Difference of 1/2 area.
Answer:
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}∣ANSWER∣
They both have same height,
let the height of both triangles be = x
let the base one triangle = y
then the base of another trainlgle = 2y
Area of triangle = 1/2 X B X H
Area of Triangle 1
\begin{gathered} \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} \end{gathered}21×y×x=>2xy
Area of Triangle 2
\begin{gathered} \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy\end{gathered}21×2y×x=>22xy=>xy
Difference in the area =
\begin{gathered}xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} \end{gathered}xy−2xy=>22xy−xy=>2xy
Hence Area of Triangle 1 is half the area of Triangle 2
Difference of 1/2 area.
[/tex]
Step-by-step explanation:
side it
siso,;-):-(
Need Answer ASAP ONLY 5 min.
Answer:
b is your answer hope it helps
A rectangular lawn 4m by 10m has a garden of uniform width added to one end. Then, along the combined side length of the lawn and garden , another garden is added, whose width is twice that of garden . The total area of the lawn and both gardens is 72 m2
Answer and explanation:
A rectangle's width is longer than the length
And so given a rectangular lawn 4m by 10m,
the width of the lawn= 10m
the length of the lawn= 4m
If a garden of uniform width is added, then garden's width = 10m
The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)
The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m
Given that total area of the lawn and two gardens = 72m²
Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width
= 4*10+ 10*x+ 20*y=72
Therefore equation for total area of lawn and both gardens is 40+10x+20y=72
Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden
x can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
10x=32-20y
x=32-20y/10
Y can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
20y=32-10x
y=32-10x/20
HAIIIIIII PLS HELPPPPPP
dis is confusing -_-
Miguel has $30. He spends $8.00 on a movie ticket, $3.85 for snacks and $1.00 for bus fare each way.
How much money does Miguel have left?
Miguel has_____dollars left
Answer:
$16.5
Step-by-step explanation:
$30-$8-$3.85-$1-$1 = $16.5
how do i solve -3=-2x+1 by graphing?
Answer:
x = 2
Step-by-step explanation:
-3 = -2x + 1
minus 1 to the both sides
-3 -1 = -2x
-4 = -2x
divide both sides by -2
x = 2
Need help with these types of questions
Answer:
i think it should be B...
Answer:
I’m brainly tester and this is a testing answer
Step-by-step explanation:
Test test tedt
1. The price of a ring is directly proportional to its weight. If 10grams ring worth is
$3000, what is the weight of a ring worth $9000?
30g
your welcomeeeeeeeeeeeee
Guys please help I'm being timed
Answer:
C
Step-by-step explanation:
Joseph recently noticed that this time next year he will be twice as old as Jasmine. I couldn't help noticing that when I am 66 at this time of the year the combined future ages of Joseph and Jasmine will also be 66. Also, 6 years from now my future age will be a multiple of the sum of Joseph and Jasmine's future ages. Of course, all ages are non-negative integers. How old. are Joseph Jasmine, and I now?
whats the simflied for 6x-2(3x-4)
Answer:
No solution
Step-by-step explanation:
6x - 2(3x - 4)
Distribute;
6x - 6x + 8
0 ≠ 8
A store advertises a 20% markdown on a dishwasher that normally sells for $952. a. Find the price on sale. b. The markdown is the greatest possible without the store losing money. What does this tell you about the store’s cost?
Answer:
a. $761.60
b. The store bought the dishwasher for the price they are currently selling it at. They are receiving no profit when it is on sale.
Step-by-step explanation:
give brainliest pls
If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that the Sales price = $952
Markdown % = 20%
The Sales price = (100 - 20)% x $952
The Sales price = 80% x $952
The Sales price = $761.60
If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60
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which equation repersent functions?
2x+3y=10
4x=16
2x-3=14
3y=18
14.6=2x
Answer:
y= (-2/3)x+10/3 is a function
3y=18 is a function
Step-by-step explanations
in both cases for each input x there is exactly one output y
plss show the work
6 − 4v = 3 − v
Answer: = 1
Step-by-step explanation: 6−4v=3−v
Step 1: Simplify both sides of the equation.
6−4v=3−v
6+−4v=3+−v
−4v+6=−v+3
Step 2: Add v to both sides.
−4v+6+v=−v+3+v
−3v+6=3
Step 3: Subtract 6 from both sides.
−3v+6−6=3−6
−3v=−3
Step 4: Divide both sides by -3.
−3v
−3
=
−3
−3
v=1
Answer:
v=1
Answer:
V=1
Step-by-step explanation:
6 - 4v = 3 - v
move the varible
6 - 4v + v = 3
collect like terms
-3v = 3 - 6
divide both sides by -3
V = 1
Please look at number 10. from the slope and write the equation for me
Answer:
y = 8x + 38
Step-by-step explanation:
To find the slope we set up y = mx + b and plug m (our slope) in and then plug in the point into x and y to find b (our y-intercept)
y = mx + b
y = 8x + b
6 = 8(-4) + b
6 = -32 + b
+32 +32
38 = b
So using our slope and our intercept we have our slope intercept
y = mx + b
y = 8x + 38
Hope this helps :)
Answer:
y - y1 = m(x - x1)
y - 6 = 8(x - (-4))
y - 6 = 8(x + 4)
y - 6 = 8x + 32
y = 8x + 32 + 6
y = 8x + 38
Step-by-step explanation:
First you input the given values ( m = 8 and (-4, 6)) into the point-slope equation.
After that, you multiply the 8 by the two terms inside the parentheses, giving you 8x and 32.
Then you add 6 to both sides of the equation to isolate the y.
The slope-intercept equation ends up looking like this: y = 8x + 38
Hope this helps :)
Parker owns a food truck that sells tacos and burritos. He sells each taco for $3.25 and each burrito for $7. Yesterday Parker made a total of $552 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
Answer:
let t= the number of tacos sold
let b= the number of burritos sold
3.25t+7b=552
b=2t
Step-by-step explanation:
Since there were twice as many burrito sold as tacos sold, there were more burritos sold, so if we multiply by 2 the number of tacos sold, we will get the number of burritos sold, meaning b=2t.
The system of equation should be considered as the 3.25t+7b=552 and the value of b should be equivalent to 2t.
Calculation of the equation:here we assume that
t= the number of tacos sold
And, b= the number of burritos sold
As per the situation, the equation be like
3.25t+7b=552
b=2t
So,
put b value in the first equation
3.25t + 14t = 552
t = 3.01
And, b = 1.51
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2. The amount of your bill is $3.10. You give the cashier $5.00. Complete
the table to show how the cashier might return the change.
+
Coins Given to
Convenient Amount
Customer
Reached
The bill is $3.10.
a1 nickel
dimes
$5.00
Pls help
Step-by-step explanation:
I add the $3.10 with the $5.00 add I get $8.1 that's what I get for my answer I hope you it helps you out
In RST, RS=15, RT=12, and ST=17. Which angle of RST has the smallest measure?
Answer:A
Step-by-step explanation: I took the test
PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answer:
22 units.
Step-by-step explanation:
We want to find the perimeter of the polygon with vertices at: (-3, 1); (5, 1); (-3, 4); and (5, 4).
Let’s first plot the points and see what polygon we acquire. Please refer to the graph below.
As we can see, when plotting the points and connecting them, we get a rectangle.
So, we can use the perimeter formula for a rectangle, given by:
[tex]P=2(\ell+w)[/tex]
Where [tex]\ell[/tex] Is the length and [tex]w[/tex] is width.
Remember that the perimeter is simply the distance around the figure.
So, let’s find the length. We can do so by counting or by subtracting.
By counting, we can see that the length (longer side) is 8 units.
And by subtracting, we get the same length of |5-(-3)| or 8 units.
We use absolute value because distance is always positive.
Using the same process, we find the width to be 3 units.
Using subtract, we can see that this is indeed true as |1-4|=3.
So, we can now substitute the values into our formula:
[tex]P=2(8+3)[/tex]
Evaluate:
[tex]P=2(8+3)=2(11)=22\text{ units}[/tex]
So, the perimeter of the polygon is 22 units.
What is the amplitude of y = -8sin(3x)?
Answer:
for y=-8sin(3x)
Amplitude = 8
Answer:
8
Step-by-step explanation:
amplitude =8
|sin (3x)|≤1
so |-8 sin (3x)≤8
PLEASE HELP
Alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. Calculate the area of the isosceles trapezoid.
140 ft2
160 ft2
180 ft2
200 ft2
Answer:
D.) 200ft²
Step-by-step explanation:
The formula for the area of a trapezoid:
[tex]A=\frac{1}{2} (b_{1}+b_{2})h[/tex]
where:
[tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the basesh is the heightInsert the given values:
[tex]A=\frac{1}{2}(16+24)*10[/tex]
Simplify the equation using PEMDAS. Simplify parentheses:
[tex]A=\frac{1}{2}*40*10[/tex]
Simplify multiplication:
[tex]A=\frac{1}{2}* 400[/tex]
Simplify multiplication. Use the rule [tex]\frac{a}{b}*c=\frac{ac}{b}[/tex] :
[tex]A=\frac{1*400}{2}\\\\A=\frac{400}{2}[/tex]
Simplify division:
[tex]A=200[/tex]
The area is 200ft²
:Done
y-2=-(x-7) slope intercept form
Answer:
y= -x+9
Step-by-step explanation:
PLEASE MARK BRAINLIESTWhat is the amount of discount?
Answer:
$3.75
Step-by-step explanation:
give brainliest please
Letf(x)=(x+2)2. Letg(x)=3(x+2)2. Which statement describes the graph of g(x) with respect to the graph of f(x)?
Answer:
I say two.
Step-by-step explanation:
3. The product of two rational numbers is 15. If one of the numbers is - 10, find the other.
Answer: -1.5
because one of the numbers is - 10 => the other is 15/-10 = -1.5
Step-by-step explanation:
Need answer for this please.
Answer:
y= - 5x+40
Step-by-step explanation:
I graphed this out. Remember that in parallel lines, the slopes are always the same.
A total of 2000 people attended a benefit concert was held to raise money for a children foundation. Student ticket cost $2 and an adult ticket cost $3. If the organizer raises a total of $5050, how many students attended the concert?
Answer:
257 kids
Step-by-step explanation:
A sociologist polled a random sample of people and asked them their age and annual income. The two-way frequency table below shows the results. Annual income vs. age group Less than $50,000 At least $50,000 Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132 Total 186 162 348 Which of the following statements is true of those polled? Choose 1 answer: А A person with an annual income of less than $50,000 is more likely to be 45 years old or above. B A person in the 44 and under age group is more likely to to have an annual income of at least $50,000
Answer:
C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above
A person in the 44 and under age group is more likely to have an annual income of at least $50,000 is a correct statement.
We have given that,
A sociologist polled a random sample of people and asked them their age and annual income.
What is the annual income?
annual income is the amount of money you receive during the year into your bank account, before any deductions.
The two-way frequency table below shows the results.
Annual income vs. age group Less than $50,000 At least $50,000
Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132
Total 186 162 348
A person with an annual income of at least
[tex]=\$50000\\=$50,000dollar[/tex]
Therefore statement b is true.
A person in the 44 and under age group is more likely to have an annual income of at least $50,000.
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Decrease £40 by 70%
plz answer and ill brainlist u!
Answer:
12
Step-by-step explanation:
Answer:
£12
Step-by-step explanation:
It's asking us to find the 30% of the 40 and to do this we multiply 40 by 30 then divide it by 100
40 × 30 ÷ 100 = 12