The correct order which shows the standard deviations of the data sets A,B and C in order from greatest to least is C, B, A.
How to find the standard deviation of a data set?Suppose that
[tex]x_i; \: \: i = 1,2, ... ,n[/tex] are n data values for the given data set.
Then we have: Variance as,
[tex]\sigma^2 = \dfrac{\sum_{\forall x_i} (x_i - \overline{x})^2}{n}[/tex]
As standard deviation is the positive root of variance, thus,
[tex]\sigma = \sqrt {\dfrac{\sum_{\forall x_i} (x_i - \overline{x})^2}{n}}[/tex]
If its sample, we divide by n-1 instead of n
Use data sets A, B, and C to answer the question that follows.
A {25, 24, 25, 22, 21, 23, 1}B: {20, 23, 25, 21, 24, 22, 60}C. {20, 21, 20, 22, 20, 24, 99}The mean of the set A is,
[tex]\overline{x}_A=\dfrac{25+24+ 25+ 22+ 21+23+ 1}{7}=20.143[/tex]
Similarly, the mean of set B and C is,
[tex]\overline{x}_B=\dfrac{20+ 23+ 25+ 21+ 24+ 22+ 60}{7}=27.857\\\overline{x}_C=\dfrac{20+21+ 20+ 22+ 20+ 24+ 99}{7}=32.286[/tex]
The standard deviation of the set A is,
[tex]\sigma_A = \sqrt {\dfrac{(25-20.143)^2+(24-20.143)^2......+(1-20.143)^2}{7}}\\\sigma_A = 7.936[/tex]
Similarly, the standard deviation of set B and C is,
[tex]\sigma_B = \sqrt {\dfrac{(20-27.857)^2+(23-27.857)^2......+(60-27.857)^2}{7}}= 13.217\\\sigma_C = \sqrt {\dfrac{(20-32.286)^2+(21-32.286)^2......+(99-32.286)^2}{7}}= 27.27[/tex]
The value of standard deviation of set C is the highest while set A is lowest.
Thus, the correct order which shows the standard deviations of the data sets A,B and C in order from greatest to least is C, B, A.
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Evaluate the expression. – 5×(6+ – 5 1/ 2 )– – 1 4 /5. Write your answer as a fraction or as a whole or mixed number.
Natalia is a girl in a math class with a total of 11 girls and 9 boys. If the teacher selects one student at random to go to the board, what is the probability that Natalia will be selected?
A box of pens contains a total of 28 pens. If 4 of the pens are red and the rest are blue, what is the probability that the first pen pulled from the box will be red?
Katelyn has a package of 24 jelly beans. There are 9 cherry jelly beans in the package. What is the probability that the first jelly bean Katelyn pulls out of the package will be a cherry jelly bean?
A marble is drawn at random from a bag containing 2 blue marbles, 3 yellow marbles, and 7 orange marbles. What is the probability that the marble is not yellow and not blue?
(Five Stars & Thanks to whoever answers first)
Answer:
First, let's find how many students there are in total:
11 girls + 9 boys
= 20 students.
Out of those 20 students, we are trying to find the probability if Natalia will be selected first.
There is only one Natalia.
So, out of those students, the probability of selecting Natalia is a:
1/20 probability
(if wanted to convert into a percentage):
1/20 x 100
= 5% probability
Since we already know there are 28 given pens in total and 4 of them are red pens, there is a:
4/28 chance of selecting a red pen which can be simplified to a 1/7 probability.
(if wanted to convert into a percentage):
1/7 x 100
= 14% probability
Since we already know there are 24 jelly beans in total and 9 of them are cherry beans, there is a:
9/24 chance/probability of selecting a cherry jelly bean.
(if wanted to convert into a percentage):
9/24 x 100
= 37.5% probability
Let's first figure out how many marbles there are in total.
2 + 3 + 7
= 12 marbles in total.
Now let's exclude the marbles that are blue and yellow, leaving us with 7 orange marbles.
So the probability of selecting a marble that isn't blue/yellow is a:
7/12 probability
(if wanted to convert into a percentage)
7/12 x 100
= 58% probability
Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L.
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
There are 5 blue birds, 6 green ones and 3 black ones. If I randomly catch 2 birds, what is the probability the first bird is black and the second is green?
Answer:
So you must first get the total of all the birds, which is going be a fraction of course , that being 14/14 birds in total, since there are only 3 black birds the probability of me getting a black one 3/14 because there are fourteen in total, and the probability for the green birds is 6/14.
The combined probability that the first bird is black and the second is green is 0.0918
What is Probability?Probability is the likeliness of an event to happen.
Total Blue birds = 5
Total Green birds = 6
Total Black birds = 3
Total birds = 14
The probability of selecting two birds such that the first bird is black and the second is green.
Probability = ( No. of the desired outcome )/( Total outcomes)
The probability of selecting black bird is 3/14
The probability of selecting green bird is 6/14
Therefore, the combined probability that the first bird is black and the second is green is
= (3/14) * (6/14)
= 18/196
= 0.0918
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The area formula for rectangular shapes is A=LW. What is the area of a rectangular shape with the dimensions of [tex]\sqrt[4]{11}[/tex] and [tex]\sqrt[4]{3}[/tex]?
Hi!
Given the area formula ~ A = LW
We need to multiply the two values:
[tex]\sqrt[4]{11} * \sqrt[4]{3}[/tex]
Since they have the same root, 4, we can multiply what's inside of the radical and give it the same root.
[tex]11*3=33[/tex]
Now, we apply the same root as before:
[tex]\sqrt[4]{33}[/tex]
Therefore, your answer is [tex]\sqrt[4]{33}[/tex]
Now, if you need that as a numerical value rather than a radical, it's roughly [tex]2.397[/tex]
Answer:
[tex]\textsf{area}=\sqrt[4]{33}\:\textsf{square units}[/tex]
Step-by-step explanation:
Formula
Area of a rectangle = length × width
Given:
[tex]\textsf{length}=\sqrt[4]{11}[/tex][tex]\textsf{width}=\sqrt[4]{3}[/tex]Substitute given values into the formula:
[tex]\implies \textsf{area}=\sqrt[4]{11} \cdot \sqrt[4]{3}[/tex]
[tex]\textsf{Apply radical rule}\quad\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{ab}:[/tex]
[tex]\implies \textsf{area}=\sqrt[4]{11 \cdot 3} =\sqrt[4]{33}\:\textsf{square units}[/tex]
a gate keeper earns 31,000 naira per month. he gets 1000 naira of his income as tax free. if he pays tax at the rate of 6 kobo per naira, how much is his monthly salary after paying his income tax?
Answer:
28,200 naira would be his income after he paid 1800 to taxes
Step-by-step explanation:
First, let's use the information to find out how much he got taxes on.
We should deduct 1000 naira from his monthly income because it is not taxed leaving 30,000 of taxable income
Then multiply his income by the percentage of tax he receives which is .06
30,000 x .06 = 1800
Then subtract money that is taxed by his income
30,000 - 1800 = 28,2000
Find the area of the shape.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
Therefore, area is 50.24
Step-by-step explanation:
⇒ Area = [tex] \sf \pi {r}^2 [/tex]
Radius = 4
⇒Area = 3.14 × 4²
⇒Area = 50.24
The answer:= 12π
I got this on khan academy.
600kg is divided between misal and pratick so that misal gets 3/5 of the amount. How much does prayick get?
Answer:
240
Step-by-step explanation:
Misel: 600kg*3/5=360
Patrick: 600-360=240
How much was made if 900 raffle tickets were sold at 5 for $20?
Answer:
$3600
Step-by-step explanation:
900/5=180
180*20=3600
Answer:
$3600
Step-by-step explanation:
Since they are being sold 5 at a time, divide 900 by 5 first to get 180. Then, since every 5 are worth 20$, multiply 20 by 180 to get $3600.
Assume the annual day care cost per child is normally distributed with a mean of $9000 and a standard deviation of $1000. What percent of day care costs are more than $8600 annually?
Answer:
65.54% (nearest hundredth)
Step-by-step explanation:
Given:
[tex]\sf \mu=9000[/tex][tex]\sf \sigma=1000[/tex][tex]\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)[/tex]
P(X > 8600) = 1 - P(X ≤ 8600)
= 1 - 0.3445782584
= 0.6554217416
= 65.54%
A police officer recorded the speeds of the first six cars whose drivers he ticketed for speeding today.
Car Speed
(miles per hour)
1 67
2 74
3 85
4 80
5 74
6 82
What is the mean of the cars' speeds?
Answer:
The mean is 77.
Step-by-step explanation:
Step one: add all the numbers
Step two: Divide the sum by the number of values you added
(example: 1,5,8,12,13. You would add them together, since we have 5 numbers, we will divide the sum by 5, then we have the mean)
462 divided by 6 is 77
Hope this helps!
50 points each question. Please help. How do I solve?
[tex]~~~~~~\tan^{-1}(xy) = \sin^{-1}(4x+4y)\\\\\\\implies \dfrac d{dx} \left[ \tan^{-1}(xy)\right] = \dfrac d{dx} \sin^{-1}\left( 4x+4y\right)\\ \\\\\implies \dfrac{1}{1+(xy)^2} \left[ \dfrac{d}{dx} (xy)\right] = \dfrac{1}{\sqrt{1-(4x+4y)^2}} \cdot \dfrac{d}{dx}(4x+4y)\\\\\\\implies \dfrac{1}{1+x^2 y^2} \left(x\dfrac{dy}{dx}+y \right)=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\\\\\\\[/tex]
[tex]\implies \left(\dfrac{x}{1+x^2y^2} \right) \dfrac{dy}{dx} + \dfrac{y}{1+x^2y^2}=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\[/tex]
[tex]\\\\\implies 0 \cdot \dfrac{dy}{dx} +0 = \dfrac{1}{\sqrt{1 -0}} \left(4+4 \dfrac{dy}{dx} \right) ~~~~~~~~~;\left[ \text{at}~~ (0,0) \right]\\\\\\\implies 4+4 \dfrac{dy}{dx} = 0\\\\\\\implies \dfrac{dy}{dx} = -\dfrac 44\\\\\\\implies \dfrac{dy}{dx} = -1\\\\\text{So, the slope of the tangent line at (0,0) is}~ -1\\ \\\\\text{The equation of tangent line,}\\\\~~~~~~y-0 = -1(x-0)\\\\\implies y=-x[/tex]
Find the sum of all multiples of 7 from 7 to 126, inclusive.
What is the measure of \angle x∠xangle, x?
Answer:
x° = 74°
Step-by-step explanation:
The supplementary angle of 106° is x°
x° = 180° - 106° = 74°
Hope this helps
David went to the store and bought a bag of
jellybeans for $1.73, an Easter basket for
$5.04, and a floppy bunny for $8.22. Assuming
there is no sales tax, how much change should
David receive if David gives the cashier a
twenty-dollar bill
Answer:
$5.01
Step-by-step explanation:
20 - (1.73 + 8.22 + 5.04)
20 - (9.95 + 5.04)
20 - 14.99
5.01
Therefore, my answer is right.
a bottle of ketchup as a net weight of 22 ounces. a serving size is 1/2 ounce. how many servings are in the bottle?
Answer:
44 servings are in the bottle
Answer:
44
Step-by-step explanation:
One trick for dividing fractions is:
1. Keep the first fraction. 22/1 divided by 1/2
2. Change division into multiplication. 22/1 times 1/2
3. Flip the second fraction. 22/1 times 2/1
22*2 is 44
1*1 is 1
The final answer should be 44/1
Find the value of x if
Answer:
X=-1 or x=1/3
Step-by-step explanation:
That is the explanation in the photo
The change in the price for day 2 is of the change in the price for day 3. At the end of day 5,
the price of Meredith's stock is $32.05. What is the change, in dollars, in the price of the stock
for day 5?
Answer:
+ 0.26
Step-by-step explanation:
PLEASE HELP! TIMED!
Find the perimeter of a triangle with the measurements of 5cm, 9cm, and 11cm.
What is Limit of j (x) as x approaches 3?
Answer:
lim x - 3 + f ( x ) - As 3 approaches 3 from the right, the value of f ( x ) approaches 0. lim x - 3 f ( x ) - Since the value of f ( x ) as x approaches 3 from the left does not equal the value as x approaches 3 from the right, this limit does not exist.
i need help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
[tex]83[/tex]
Step-by-step explanation:
[tex]5 - (18 \div 6) + (2 + 7)^{2} [/tex]
Divide the numbers ⬇
18 ÷ 3= 3[tex]5 - 3 + (2 + 7)^{2} [/tex]
Add the numbers ⬇
2 + 7= 9[tex]5 - 3 + 9 ^{2} [/tex]
Evaluate the power ⬇
9² = 81[tex]5 - 3 + 81[/tex]
Calculate the sum or difference ⬇
[tex]5 - 3 + 81 = 83[/tex]
Hope this helps!! :)
In a certain board game, a player who lands on the Double Spin
space earns two spins of the pointer shown. This player is
awarded a free turn if the pointer lands in the red section both
times. What is the probability that a player who lands on the
Double Spin space will win a free turn?
I
Red
Green
Blue
Make a table to describe the possible outcomes.
a
.
Red (R)
Green (G)
R, G
.
RR
Blue (B)
R, B
GB
BB
Red (R)
Green (G)
Blue (B)
There are 9 possible outcomes.
Each outcome is equally likely.
The one favorable outcome is
circled.
.
GR
G, G
B, G
BR
The probability that a player will win a free turn is P(R, R) = 5.
9.
the visual representation of data that is used to show how all the parts of something are related to the whole
Answer:pie charts?
Step-by-step explanation:
PLS HELP ME WITH THIS!!!
Answer:PLS HELP ME WITH THIS!!!
PLS HELP ME WITH THIS!!!
Step-by-step explanation:PLS HELP ME WITH THIS!!!
is your correct answer
Identify the series of transformation that will move figure A to the new location of figure B.
Answer:
translate down 6 units and left 3 units
The percentages of students in the school who attended the talent show for the years 2008 to 2013 are shown, This year, the school has a total of 380 students, How many students do u expect to attend the talent show this year ? It's super important that u say a good explanation or u don't get the BRAINLIEST!
Answer:
357
Step-by-step explanation:
number of students that would attend this year = percentage of students that attended in 2013 x total number of students
94% x 380 = 357.2
Dee Wallace's salary was $61,000 in 2006 and increased to $64,300 in 2009.
What was the annual rate of change in his salary?
Answer:
$1,100
Step-by-step Explanation:
Dee Wallace's salary in 2006 = $61,000 Dee Wallace's salary in 2009 = $64,300
The salary increased in => 2009 - 2006 = 3yrs
The amount of salary increased = 64,300-61000 = $3,300
The annual change of salary = 3,300/3 = $1,100
on the map, 2 cm equals 1 km. what is the actual length of a street that is 10 cm long on the map?
Answer: 5km
Step-by-step explanation: 2cm=1 km
10cm divided by 2 is 5km
where does a line and a plane intersect?
a. point
b. plane
c. line
Answer:
A. point
Step-by-step explanation:
An intersection of a line and a plane is at the point.
Please Help Find the volume
Answer:
0.065 units ³
Step-by-step explanation:
Volume of sphere = 4/3 π r³
=> 4/3 × 22/7 × 1/4 × 1/4 × 1/4
=> 0.065 units³
Answer:
[tex]\frac{1}{48}[/tex] π units³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius ) , then
V = [tex]\frac{4}{3}[/tex] π × ( [tex]\frac{1}{4}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × [tex]\frac{1}{64}[/tex] ( cancel 4 and 64 on numerator/ denominator by 4 )
= [tex]\frac{1}{3}[/tex] π × [tex]\frac{1}{16}[/tex]
= [tex]\frac{1}{48}[/tex] π units³