Variance is average of squared error of observations from mean. The variance of given data is 5.2
How to calculate variance of a given data set?Variance is average of squared error of observations from mean.
If the data set is composed of n elements,its ith element is [tex]x_i[/tex] , and mean of the data set is [tex]\overline{x}[/tex] ,then its variance is given as:
[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2[/tex]
The given data set is 4,7,4,10,5
Thus, n = 5 (total 5 observations (data values) )
Their mean is [tex]\overline{x} = 6[/tex] (it is taken as 'm', but for ease with formula, take it as [tex]\overline{x}[/tex] )
Thus, their variance is calculated as:
[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2 \\\\\sigma^2 = \dfrac{(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 +(5 - 6)^2}{5} \\\\\sigma^2 = \dfrac{4 + 1 + 4 + 16 + 1}{5} = \dfrac{26}{5} = 5.2[/tex]
Thus,
The variance of given data is 5.2
Learn more about variance here:
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Answer:
d
Step-by-step explanation:
seriously i have no idea
Answer:
A. <LKM = <LJN
Step-by-step explanation:
A. <JKM = <LJN is not congruent = will NOT prove
B. KM/JN = KL/ML is a valid proportion = will prove
C. JN || KM is congruent = will prove
D. KL/JL = ML/NL is a valid proportion = will prove
20x - 15y + 6 What is the variables? After this one I got one more answer so please answer quickly!
Answer:
x and y
Step-by-step explanation:
The variables are x and y
Hope this helps!
What is the effect of removing the outlier 11 from the following data set? (1 point)
{11, 85, 87, 88, 91, 91, 92, 93, 95}
A The mean would increase.
B The median would decrease.
C The interquartile range would increase.
D The median of the lower quartile would stay the same.
Answer:
A The mean would increase.
Step-by-step explanation:
mean = sum of numbers ÷ how many numbers there are
the mean with the outlier 11:
(11 + 85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 9 = 81.4
the mean when removing the outlier 11:
(85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 8 = 90.25
the mean has now increased
how to do this equation y=2x-10 and 2y=x-8
Answer:
y=2x-10
2y=x-8
since the second equation equals 2y and the first is y that means the first equation times 2 equals the other one
4x-20=x-8
-x
3x-20=-8
+20
3x=12
x=4
then lets just plug it in
2y=4-8
simplefy
2y=-4
y=-2
(4,-2)
Hope This Helps!!!
17 is 0.21% of what number
Answer:
0.21% of 8,095.23=17
Step-by-step explanation:
17÷0.21%
17÷(0.21÷100)
(100×17)÷0.21
1700÷0.21
8,095.238095
ans is 8095.23
hope it helps
85% of £30? I really need help homework is due tomorrow
Answer:
$25.50
Step-by-step explanation:
85% can be written as 0.85
Therefore just multiply it by 0.85 times 30 and you'll get $25.50 dollars.
represent -6 on number line
Answer:
-6 = negative 6
negative is on the left side of the number lines
6 left from the middle
If this helped, please consider picking this answer as the Brainliest Answer. Thank you!
At 3:30 p. M. , Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0. 11 hours 0. 25 hours 0. 88 hours 1. 84 hours.
Answer:
1.84 hours
Step-by-step explanation:
trust me its the right answer
what is 3/5 divided by 7/8
Answer:
24/35
Step-by-step explanation:
3/5÷7/8
The 7/8 changes to 8/7 because of the division
i.e 3/5×8/7
which is 24/35.
[tex] \frac{24}{35} [/tex]
Just flip
which of the following is the equation of a line ine slope-intercept form for a line with slope=5 and intercept=(0,-3)
Answer:
The equation would be y = 5x - 3
which expression is equivalent to 7(6m - 7) + 9?
- 42 + 2
- -7(6m + 7) + 9
- 7 (-7 + 6m) + 9
- -40m + 42
Answer:
[tex]7( - 7 + 6m) + 9[/tex]
what is the eqation of − 152 = 90
Answer:
x=242
Step-by-step explanation:
-152=90
+152 +152
=242
Find the value of x, y, and z in the figure below:
ہ
2y
IN
2x
90°
t
Answer:
x=30°
y=15°
z=150°
Step-by-step explanation:
2x+90+x=180°
2x=180°-90°
x=90/3
x=30
2y=x
y= 30/2
y=15°
2y°+z°=180°
2(15°)+z°=180°
z=180°-30°
z=150°
Hope it helps! :)
pls help me with this problem
Answer:
y = total amount of money in Maria’s savings account.
x= number of days.
you are given the y-intercept (12) and the slope of the equation ( $2/ 1day ).
thus, c = 12
m = 2
substitute these values into slope–intercept form,
y = mx + c
y = 2x + 12
hope this helps you!
-s.
PLEASE HELP DUE TODAY
Answer:
3.
A. Library (2, 3)
B. Park (8, 2)
C. Market (3, 7)
D. Rec Center (4, 10)
E. Pool (6, 6)
F. Movie Theater (9, 9)
G. Ice Cream Shop (5, 4)
4. A, C, D (and possibly G - see notes below in step-by-step)
Step-by-step explanation:
3.
For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (up the y-axis).
A. Library (2, 3)
B. Park (8, 2)
C. Market (3, 7)
D. Rec Center (4, 10)
E. Pool (6, 6)
F. Movie Theater (9, 9)
G. Ice Cream Shop (5, 4)
4.
True statements: A, C, D
(I don't know it statement G is correct as the text is half missing.
If it says "Point C is 1 unit left and 2 units up from point D" then it is true.
If it says anything else, it is not true
Answer:
Step-by-step explanation:
3.
A. Library (2,3)
B. Park (8,2)
C. Market (3,7)
D. Rec Center (4,10)
E. Pool (6,6)
F. Movie Theater (9,9)
G. Ice Cream Shop (5,4)
4.
A - correct
B - incorrect
C - correct
D - correct
E - incorrect
F - incorrect
Hope this helps!
Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x = 24
Answer:
Hello i was going to answer this but someone else answered it and i didnt want to write that much lol.
Step-by-step explanation:
https://brainly.com/question/13457391 hope it helps
Eddie had 30 dollars to spend on 3 gifts. He spent 11
7
10
dollars on gift A and 5
2
5
dollars on gift B. How much money did he have left for gift C?
Answer:
12.9 or 12 9/10
At what point on the curve y = 9 + 2ex − 5x is the tangent line parallel to the line 5x − y = 8?
(x, y) = ?
Answer:
[tex](\ln(5), 19-5\ln(5))[/tex]
Step-by-step explanation:
The line can be represented as y=5x-8, so the slope of the line is 5.
The derivative of the curve is:
[tex]\frac{d}{dx} [9+2e^x-5x]\\=\frac{d}{dx} [9]+\frac{d}{dx} [2e^x]-\frac{d}{dx} [5x]\\=2e^x-5\\[/tex]
We need to set that equal to 5 to find the x coordinate of our desired point
[tex]2e^x-5=5\\2e^x=10\\e^x=5\\x=\ln(5)[/tex]
Now, just plug in x in the curve to solve for y:
[tex]9+2e^{\ln(5) } -5\ln(5) = y\\9+10-5\ln(5)=y\\19-5\ln(5)=y[/tex]
Line 5x y = 8 has a slope of 5. This means that the tangent line that runs parallel to this line must also have a slope of 5.
To solve this equation
dy/dx = 2ex 5 is the derivative of the function y = 9 + 2ex 5x. Consequently, 2ex 5 is equal to the slope of the tangent line at any location.
When we set the slope of the tangent line to 5, we obtain:
2ex − 5 = 5
2ex = 10
e^x = 5
Taking the natural logarithm of both sides, we get:
ln(e^x) = ln(5)
x = ln(5)
Therefore, ln(5) is the x-coordinate of the crossing point.
We can enter this value of x into the original function to determine the y-coordinate:
y = 9 + 2e^(ln(5)) − 5(ln(5))
y = 9 + 10 − 5ln(5)
y = 15 − 5ln(5)
As a result, the intersection is at (ln(5), 15 5ln(5)).
To sum up, (ln(5), 15 5ln(5)) is the point on the curve y = 9 + 2ex 5x where the tangent line is parallel to the line 5x y = 8.
Learn more about tangent line here
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Help me with this pleaseeeeeeee
Answer:22 hopes this helps
Step-by-step explanation:
so here the problem look at the numbers -8 and 14
8 is no long a a negative it’s positive
So now you got 8 + 14 = 22
Answer:
22 blocks
Step-by-step explanation:
just simply add 8 and 14 to get your answer :)
Tell whether the angels are adjacent or vertical. Then find the value of x.
(please show how you solved the problem!)
Answer:
Angles: adjacent
x = 18
Step-by-step explanation:
Adjacent Angles: angles that border each other to the left/right
Vertical Angles: opposite set of angles that are congruent
Given these definitions, these angles are not only adjacent, but also right angles. Right angles add to 90°.
Thus, 3x + 2x = 90Step 1: Combine like terms.
[tex]3x + 2x = 90[/tex] [tex]5x = 90[/tex]Step 2: Divide both sides by 5.
5x ÷ 5 = 90 ÷ 5x = 18Therefore, the answer is adjacent and x = 18.
I need help on this, will someone try and help me out? PLEASE
Answer:
x=4 y=-3
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
x−2y=10 ; 6x+3y=15
Step: Solve x −2y= 10for x:
x − 2y + 2y = 10 + 2y (Add 2y to both sides)
x=2y+10
Step: Substitute 2y+10 forx in 6x+3y=15:
6x+3y=15
6x+3y=156(2y+10)+3y=15
15y+60=15 (Simplify both sides of the equation)
15y+60+−60=15+−60 (Add -60 to both sides)
15y=−45
15y/15=−45/15(Divide both sides by 15)
y=−3
Step: Substitute −3 for y inx=2y+10:
x=2y+10
x=(2)(−3)+10
x=4(Simplify both sides of the equation)
Answer:
x=4 and y=−3
Solve and express the solution set in simplest form . 8x-2/9 = 2/1
Step-by-step explanation:
I hope it will help you!!
Choose all of the ordered pairs that make the equation true.
y=3x+2
Your school is planning a banquet. The cost of renting a function is $180. The cost of food is $18 for each person. How many people attending the banquet if the total cost was $1,638? Write and solve an equation
pls help i cant think of the answer rn
PLEASE HELP I WILL GIVE BRAINLIEST ITS URGENT!
In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find:
The length of the angle bisector of angle A
Answer:
∠A is (5/3)√13
Step-by-step explanation:
The cosine of ∠A is [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]
The cosine of half of ∠A is given by the half-angle formula:
cos(A/2) = √((1 +cos(A))/2) = √((1 + 5/13)/2) = √(9/13) = 3/√13
The length of the segment b is found from ...
cos(A/2) = 5/b [adjacent side/hypotenuse]
∠ A = 5/cos(A/2) = 5/(3/√13)
∠ A = (5/3)√13
If Needed in decimal form : 6.01
[RevyBreeze]
PLEASE HELP ASAP!!!!!! no links please
I NEED HELP ASAP!!!!
Answer:
B) 8
Step-by-step explanation:
Triangles MNC and RSC are similar because all 3 angles are the same, so the the ratio between each side should be the same.
If NC=12 and SC=6 then triangle MNC is scaled up by 2 from triangle RSC. This means each side of MNC is 2 times bigger than on RSC. So, sense RS=4, we can multiply that by 2 to get MN=8.
Paid for $22 for for movie tickets how many would they have pay for for 16 tickets
Answer:
$352
Step-by-step explanation:
One ticket costs $22, so 16 tickets would be 22 times 16.
Final Answer: $352
A pumpkin pie recipe calls for 30 ounces of pumpkin, 6 eggs, and 2.5 cups of brown sugar to make two pies. How much of each ingredient is required to make five pies?
Answer:
75 onces 15 eggs and I dont know for the brown sugar
Step-by-step explanation: