Answer:
a) Coefficient of Variation for Height = 4.46%
b) Coefficient of Variation for Ages
= 12.26%
c)Comparing both Variations, the coefficient of variation for ages is larger than that of the mean and this is due to the fact that the
Step-by-step explanation:
Coefficient of Variation formula = Standard deviation / Mean × 100%
From the attached diagram, we are given sample data
1) For the Height
a) Mean of the Heights
= Sum of term/ Number of terms
= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12
= 884/12
= 73.66666667
b) Standard Deviation of Heights
For Sample data, the formula
=√ (X - Mean)²/n - 1
= 3.284490644
c) Coefficient of variation for Heights
Coefficient of Variation formula = Standard deviation / Mean × 100%
=( 3.284490644/73.66666667) × 100
= 0.04458584584 × 100
= 4.45858458441%
≈ 4.46%
2) Mean of ages
= Sum of terms/ Number of terms
= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12
= 330/12
= 27.5
b)Standard Deviation of Ages
For Sample data, the formula
=√ (X - Mean)²/n - 1
= √ (21 - 27.5)² + (26- 27.5)² +( 22- 27.5)² + (27- 27.5)² + (29- 27.5)² +( 26- 27.5)² +( 27- 27.5)² + (29- 27.5)² + (30 - 27.5)² + (31- 27.5)² + (31- 27.5)²+ (31- 27.5)²/12
=√ -6.5² + -1.5² + -5.5²+ -0.5² + 1.5² + -1.5² + -0.5² + 1.5² + 2.5² +3.5² + 3.5² + 3.5²/ 11
= √125/11
= √11.36363636
= 3.370999312
c) Coefficient of Variation
= Coefficient of Variation formula = Standard deviation / Mean × 100%
= (3.370999312/27.5) × 100
= 0.12258179316 × 100
= 12.258179316%
It should be noted that the coefficient of variation for height will be 4.46%.
How to calculate the coefficient of variationThe Coefficient of Variation formula will be:
= Standard deviation / Mean × 100%
The mean of the heights will be:
= Sum of term/ Number of terms
= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12
= 884/12
= 73.7
The standard deviation of heights is 3.28. Therefore, the coefficient of variation for heights will be:
= ( 3.28/73.7) × 100
= 4.46%
The mean of ages will be:
= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12
= 330/12
= 27.5
The standard deviation of ages is 3.37. Therefore, the coefficient of variation will be:
= (3.37/27.5) × 100
= 0.123 × 100
= 12.3%
In conclusion, the coefficient of variation for ages is larger than that of the mean.
Learn more about coefficient of variation on:
https://brainly.com/question/12327871
which operation is used for the equation down below
Answer:
B
Step-by-step explanation:
2x+8=9
you want to isolate the variable so you subract 8 from both sides
2x=1
now you want x by itself so you divide by 2 on both sides
x=1/2 or x=0.5
Hope this helped :)
25. Reasoning Suppose you plot the locations of
the animals on a number line. Which animal
would be represented by the point farthest from
O on the number line? Explain.
B
Answer: Fanfin anglerfish
Step-by-step explanation:
my teacher told me cause i have the same book that other answer u just saw is incorecct
Convert 0.9 to a percent
Answer:
0.9%
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
0.9*100% (formula to calculate decimal into percent)
Hope it helps!!
Thankyou!!
What is the equation of the line that passes through the point (-7, 2) and has a
slope of -1?
Answer: y= -1x - 5
Step-by-step explanation:
The equation has to be in slope-intercept form which uses the formula
y=mx+b where m is the slope and b is the y-intercept.
So we given the slope and an x and y coordinate so we will plot those numbers into the formula and solve for the y intercept to write the equation.
the x coordinate is -7 and the y coordinate is 2
2 = -1(-7) + b
2 = 7 + b
-7 -7
b = -5 the y intercept is -5
Now the equation will be y= -1x - 5
what expression is equivalent to 6-(-8
Answer:
14
Step-by-step explanation:
Subtracting a negative is the same as Adding a positive
6--8=6+8
6+8=14
Hope this helps! :D
What is 10.56 divided by 2.4?
Answer:
10.56÷2.4=4.4
Step-by-step explanation:
Will mark brainlist:)
Answer:
The length of the missing side is 7 yards
Step-by-step explanation:
Simply subtract 9 from 16
16-9=7
The length of the missing side is 7 yards
Hope this helps! Plz award Brainliest : )
The answer is 7yd.
I got this answer by simply looking at the line parallel to it, which would be 16yd. I subtracted 16yd - 9yd = 7yd.
Hope this helped!
Good luck <3
Find k so that the distance from (–3, –1) to (k, 5) is 10 units.
Answer:
k = - 11, 5
Step-by-step explanation:
By distance formula:
[tex] \sqrt{ \{ {k - ( - 3) \}}^{2} + \{5 - ( - 1) \}^{2} } = 10 \\ \\ \sqrt{ {(k + 3)}^{2} + {(5 + 1)}^{2} } = 10 \\ \\ \sqrt{ {(k + 3)}^{2} + {(6)}^{2} } = 10 \\ \\ \sqrt{ {(k + 3)}^{2} + 36 } = 10 \\ \\ (k + 3)^{2} + 36 = {10}^{2} \\ ..(squaring \: both \: sides) \\ {k}^{2} + 6k + 9 + 36 = 100 \\ {k}^{2} + 6k + 45 - 100 = 0 \\ {k}^{2} + 6k - 55 = 0 \\ {k}^{2} + 11k - 5k - 55 = 0 \\ k(k + 11) - 5(k + 11) = 0 \\ (k + 11)(k - 5) = 0 \\ k + 11 = 0 \: or \: k - 5 = 0 \\ k = - 11 \: or \: k = 5 \\ \\ \huge \red { \boxed{k = \{ - 11, \: 5\}}}[/tex]
There are two solutions for [tex]k[/tex]: 5 and -11.
In this case, we must use the Length Equation for Line Segment to solve for [tex]k[/tex], whose formula is described below:
[tex]l = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}[/tex] (1)
Where:
[tex](x_{A}, y_{A})[/tex] - Coordinates of the initial endpoint.
[tex](x_{B}, y_{B})[/tex] - Coordinates of the final endpoint.
[tex]l[/tex] - Length of the line segment.
If we know that [tex](x_{A}, y_{A}) = (-3, -1)[/tex], [tex](x_{B}, y_{B}) = (k, 5)[/tex] and [tex]l = 10[/tex], then the equation is expanded into this form:
[tex](k+3)^{2}+[5-(-1)]^{2} = 100[/tex]
[tex]k^{2}+6\cdot k + 9 + 36 = 100[/tex]
[tex]k^{2} + 6\cdot k -55 = 0[/tex]
The roots of this Second Order Polynomial are determined by Quadratic Formula:
[tex]k = 5[/tex] or [tex]k = -11[/tex].
There are two solutions for [tex]k[/tex]: 5 and -11.
Please see this related question: https://brainly.com/question/15887719
Silk cloth is on sale at a price of $19.80 for 5 yards. If 14 yards of the cloth are
bought at the same rate, what is the
A.estimated cost of the cloth? (1 point)
B.actual cost of the cloth? (1 point)
(d) Given: AB = 4; in and AC = 3
Find: The length of BC or BC
What the answer??
When we roll one die, we have a 1 in 6 probability of getting any particular number on the die. When we roll a pair of dice, there are 36 different pairs that can be produced, yet only 11 actual distinct values. Explain how the probability associated with the roll of each individual die in the pair explains the higher variability in the total outcome of the roll of each pair. How do the concepts of permutations and combinations apply to this example
Answer:
The probability of an event occurring depends on the sample space and the frequency of the event
permutations and combination principles would have to be applied to determine the probability of a particular number showing up when a pair of dice is rolled ,while a single dice roll have a fixed frequency of every event ( 1,2,3,4,5,6,) hence probability of a number showing up is 1/6
Step-by-step explanation:
The probability of an event occurring depends on the sample space and the frequency of the event
The total outcomes of rolling a pair of fair dice would be = ( total outcome of single dice A * total outcome of single Dice B ) = 6 * 6 = 36. and this is because the Two dice are independent of each other. hence there is a higher variability in the determining the possibility of a particular number ( 1,2,3,4,5,6) showing up when a pair of dice is rolled due to the larger sample space. permutations and combination principles would have to be applied to determine the probability of a particular number showing up when a pair of dice is rolled ,while a single dice roll have a fixed frequency of every event ( 1,2,3,4,5,6,) hence probability of a number showing up is 1/6
¿Cuál es la razón en la que está segmentada la línea que une a los puntos A(-2,3) y B(4,-1) si se sabe que el Pr es (0,5/3)?
Answer:
Entonces la proporción es 1/2
Step-by-step explanation:
Aquí, en esta pregunta, queremos encontrar la razón que divide al segmento AB en la razón (0,5 / 3).
Usamos la fórmula de división interna para esto;
Sea la relación m / n Matemáticamente, la fórmula de división que da lugar a (0,5 / 3) es la siguiente;
(x, y) = mx2 + nx1 / (m + n), my2 + ny1 / (m + n)
En este caso particular;
(x1, y1) = (-2,3)
(x2, y2) = (4, -1)
(x, y) = (0,5 / 3).
Así que hagamos las sustituciones; (0,5 / 3) = m (4) + n (-2) / (m + n), m (-1) + n (3) / (m + n)
(0,5 / 3) = (4m -2n) / (m + n), (-m + 3n) / m + n.
Por tanto, equiparemos términos;
4m-2n / (m + n) = 0
4m -2n = 0
4m = 2n
n = 4 m / 2
n = 2 millones •••••••• (i)
(3n -m) / (m + n) = 5/3
3 (3n -m) = 5 (m + n)
9n - 3m = 5m + 5n
9n -5n = 3m + 5m
4n = 8m
n = 8 m / 4 n = 2m ••••••• (ii)
Podemos ver que ambos son iguales;
n = 2 m 1 = 2m / n
divide ambos lados por 2
m / n = 1/2.
Is 10 a whole number
Answer:
Yes
Step-by-step explanation:
A whole number is any number without a decimal. It can also be called an integer.
if you could help it'd mean the world to me
Answer: 22
Step-by-step explanation: because if you read it carefully and do math you are sure to get it right!! :)
What number could replace x to make a true statement?
2/3 < x/8 < 7/8
Answer:
x=6
Step-by-step explanation:
1. get the gcf of 3 and 8
3×8=24
2.the new equation would be this:
16/24<3x/24<21/24
3. the value of x would be 6 because 3×6=18.
3×5=15 wouldnt make sense because it is is smaller than 16.
6.3% of the 6,540,000 Indiana residents were listed as Hispanic or Latino in 2012, how many people would this be?
Answer:
412020
Step-by-step explanation:
It is given that,
6.3% of the 6,540,000 Indiana residents were listed as Hispanic or Latino in 2012. We need to find the no of people for this.
Using the concept of percentage as follows :
[tex]\dfrac{6.3}{100}\times 6540000 =412020[/tex]
Hence, there would be 412020 people.
what does b equal can i please have your help
Hey there! I'm happy to help!
These are corresponding angles since they both connect a parallel line and the transversal. This means they are congruent and have the same value. So, we can set up the following equation.
8x-8=5x+25
Subtract 5x from both sides.
3x-8=25
Add 8 to both sides.
3x=33
Divide both sides by 3.
x=11.
Have a wonderful day! :D
Answer:
x = 11
∠B = 80
Step-by-step explanation:
∠A = ∠B
where
∠A = 8x - 8°
∠B = 5x + 25°
8x - 8° = 5x + 25°
8x - 5x = 25 + 8
3x = 33
x = 33/3
x = 11
plugin x into ∠B = 5x + 25°
∠B = 5x + 25°
∠B = 5(11) + 25°
∠B = 80
Peter bought 8 lemons for $6dollar sign,Each lemon was the same price. What was the cost for 1 lemon?
Answer:
Each lemon 75 cents
Step-by-step explanation:
Simply divide 6 by 8
6/8=0.75
Each lemon 75 cents
Hope this helps! Plz award Brainliest : )
what is the solution to the compound inequality -8<2x-4<2
Answer:
(-2, 3)
Step-by-step explanation:
You can divide the inequality by 2:
-4 < x -2 < 1
And add 2.
-2 < x < 3
Expressed in interval notation, this is (-2, 3).
Point M is the midpoint of AB. The coordinates of point A are (-7, 1) and the coordinates of M are (-4,1). What are the coordinates of point B? The coordinates of point B are :
Answer:
The coordinates of point B are : (-1, 1)
Step-by-step explanation:
[tex]\frac{-7+x^{2} }{2} = -4\\\frac{1+y^{2} }{2} =1[/tex] You multiply -4 by 2 which gives you -8 then you multiply 1 by 2 which gives 2.
Then you create the equations [tex]-7 + x^{2} = -8\\1 + y^{2} = 2[/tex] you substitute -7 for +7 and add 7 to -8 which gives -1 ([tex]x^{2}[/tex]) and subtract 1 from 2 which gives you 1 ([tex]y^{2}[/tex])
To check your answer use the midpoint formula [tex]\frac{-7+-1}{2} =\frac{-8}{2} =-4\\\frac{1+1}{2} =\frac{2}{2} =1[/tex] which gives you your midpoint (-4,1)
|x| = 2
absolute value of this please help
What is the value of X
Answer:
16
Step-by-step explanation:
The angles are vertical angles which means they are equal
8x-8 = 7x+8
Subtract 7x from each side
8x-8-7x = 7x+8-7x
x-8 = 8
Add 8 to each side
x-8+8 = 8+8
x=16
can someone answer this for me pls
Answer: Lin is the most consistent and I would want to have them on my team.
Why is this? Because their dots are more clustered together compared to the other distributions. Elena may have made the most shots (9) at one point, but her data set is very spread out and more unpredictable. The more spread out a data set is, the higher the variance and standard deviation. The range is also affected by how spread out the data set is since
range = max - min
So in a rough sense, the range can be used to estimate the variance and standard deviation. Though more accurate formulas are usually the better way to go.
Find the domain and range of the relation: (9, -2), (8, -2), (7, -2), (6, -2). Then determine whether the relation is a function.
Domain = { }
Range = { }
Is the relation a function?
Yes
No
Answer:
domain- 9,8,7,6. Range: -2
Step-by-step explanation:
Domain is always x and range is always y
Ms. sullivan bought some pens at the school supply store, including 5 red pens. 25% of all pens she bought were red. How many pens did ms. Sullivan buy in all?
25% = 1/4
5 pens * 1/4 = 20 pens
Ms. Sullivan bought 20 pens in total
Answer:
20
Step-by-step explanation:
5 x 4 is 20.
The answer is 20. Hope this helps.
The population of a town doubles every 4 years.
Complete the sentence,
The population is best represented by an)
function because the population is changing by a constant
Answer:
quizlet probably has your answer
Step-by-step explanation:
Observing the histogram, frequency proportions, and normal probability plot based on the data set, below, of weights of hummingbirds (in grams) randomly selected from a population, we have a strong indication that the weights of the population of these hummingbirds from which these data were drawn are:
Answer:
Normally Distributed.
Explanation:
After plugging all those numbers into a calculator you can see that the graph isn't left skewed, making both "left skewed" and "all of the above" not an answer. "correlated with a second set of data" is also wrong since there was no second set of data given. That leaves you between "uniformly distributed" and "normally distributed" This graph doesn't show a uniformly distributed graph, which leaves you with the final answer, normally distributed.
APEX
Answer:
Normally distributed
Step-by-step explanation:
took the quiz :)
What is the point-slope form of a line with slope 6 that contains the point
(1,2)?
A. y + 2 = 6(x - 1)
B. y+ 2 = 6(x+1)
C. y-2 = 6(x-1)
O D. x+ 1 = 6(y+2)
Answer:
The answer is option CStep-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (1,2) and the slope is 6
The equation of the line in point slope form is
[tex]y - 2 = 6( x - 1)[/tex]Hope this helps you
Tina spent 5.5 hours at the theme park. On average, she spent $8.70 each hour. How much money did she spend while at the theme park?
Answer:
[tex]\huge\boxed{$47.85}[/tex][tex]\huge\boxed{\$47.85}[/tex]
Step-by-step explanation:
We know that Tina spent 5.5 hours at the theme park. If she spend $8.70 per hour, then we can multiply 8.70 by 5.5 to find the total cost.
[tex]8.70 \cdot 5.5 = 47.85[/tex]
Hope this helped!
BD=2x CD= 8 BC=x determine the numerical length of BD
Answer:
BD = 16
Step-by-step explanation:
X 8
B----------------C-----------------D
|<------------2X------------------->|
FIND; numerical length of BD
BC + CD = BD
X + 8 = 2X
8 = 2X - X
8 = X
BD = 2X
BD = 2(8)
BD = 16