Which data set has the same standard deviation as the data set {1, 1, 3, 5, 8} ?


{9, 8, 9, 8, 9}

{2, 2, 4, 6, 9}

{1, 2, 6, 6, 9}

{1, 1, 1, 2, 2}

Answers

Answer 1

The data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.

How to Find the Standard Deviation of a Data Set?

Given the data set, {1, 1, 3, 5, 8}, the standard deviation (σ) is calculated as shown below:

Standard deviation (σ) = √(SS/n)

Count (n) = 5

Mean (μ) = 3.6

Sum of Squares (SS) = 35.2

Standard deviation (σ) = (√35.2/5)

Standard deviation (σ)  = √7.04

Standard deviation (σ) ≈ 2.7

Also, the standard deviation of {2, 2, 4, 6, 9} is calculated as shown below:

Count (n) = 5

Mean (μ) = 4.6

Sum of Squares (SS) = 35.2

Standard deviation (σ) = (√35.2/5)

Standard deviation (σ)  = √7.04

Standard deviation (σ) ≈ 2.7

Therefore, the data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.

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Related Questions

Argyle wants to make T-shirts for
students. Customink is willing to offer a
deal with the school that each shirt will
cost $5 plus a $50 fee for each shirt color.
Argyle wants to make a teal and a purple
shirt.

Answers

Answer:

$105

Step-by-step explanation:

$5 initial cost + $50 (teal shirt) + $50 (purple shirt)

If f(1)=1 and f(n)=4f(n-1) what is the value of f(4)?

Answers

Answer:

  64

Step-by-step explanation:

You have the recursive formula f(1)=1; f(n)=4f(n-1) and you want f(4).

Recursion

The value of f(4) can be found a couple of ways. Perhaps the simplest is to compute the first 4 terms of the sequence using the recursive formula.

  f(1) = 1

  f(2) = 4·1 = 4

  f(3) = 4·4 = 16

  f(4) = 4·16 = 64

The value of f(4) is 64.

Explicit formula

The multiplying factor of 4 on the previous term tells you this is a geometric sequence with a common ratio of 4. The explicit formula is then ...

  f(n) = f(1)·r^(n-1) . . . . . n-th term of sequence with common ratio r

  f(n) = 1·4^(n-1) . . . . . . formula for f(1)=1 and r=4

For n=4, this is ...

  f(4) = 1·4^(4-1) = 4^3

  f(4) = 64

if x² = √16 = x
true or false?​

Answers

Step-by-step explanation:

it is true

the square root of 16 is 4

Monday
Ms. Paulsen had 80 paper clips in her desk drawer. She used 39 of them on
papers.
How
many paper clips does Ms. Paulsen have in her desk drawer now?

Answers

41 would be the answer

Two more than the quotient of a number and 9 equals 5

Answers

In linear equation ,  the quotient of a number n= 27

What is a formula for linear equations?

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

2 + N/9 = 5

N/9 = 5 - 2

N/9 = 3

N = 9*3

N=27

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Guys I need help pls tell me the remainder too

Answers

Answer:

0.12245454545 (Quotient = 0 Remainder = 2.694)

Step-by-step explanation:

Divide 2.694 by 22. The quotient is 0 with a remainder of 2.694

Please like this or rate it if helpful :)

What is the solution to this equation
2(40-5y)=10y+5(1-y)

Answers

Answer:

The Answer is y=5.

Step-by-step explanation:

Firstly, multiply what is outside of the parentheses into the parentheses.

2(40-5y)=10y+5(1-y) --> 80-10y=10y+5-5y

Combine like terms

80-10y=5y+5

Add 10y

80=15y+5

Subtract 5

75=15y

Divide by 15

y=5

The solution to the equation is 5.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2(40-5y)=10y+5(1-y)

Now, solving

80 - 10y = 10y + 5 - 5y

80 - 5 = 10y - 5y + 10y

75 = 20y- 5y

75 = 15y

y= 75/15

y= 5

Hence, the solution is 5.

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Can someone tell me the answer to the domain and range please

Answers

Answer:

1)

D) -4<x≤-1

R) 4>y≥2

2)

D) 3≤x<5

R) 0≥y>-3

Step-by-step explanation:

(only in 7th so might be wrong)

1)

D) -4<x≤-1

R) 4>y≥2

2)

D) 3≤x<5

R) 0≥y>-3

Just find the range of how far the function goes (both how high; y, and how far; x)

i need this answer asap please

Answers

Answer:

a.  y + 3 = 0

Step-by-step explanation:

x-axis has slope of 0 so any lines parallel to x-axis has slope of 0

With m = 0 , x = -4, y = -3

y = mx + b

-3 = (0)(-4) + b

b = -3

so y = -3

or y + 3 = 0

ASAP help will mark you brainliest 5 likes

f(x)=1f ( x ) = 1 ,

f(x)=x+1f ( x ) = x + 1 ,

f(x)=x−1f ( x ) = x − 1 ,

f(x)=−1

Answers

The answer is F(x)= -1 I hope that helps!

190 g = _____________ kg​

Answers

The answer will be 0.19 kg

Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST

Answers

Answer: x=28/3

Step-by-step explanation:

6/8=7/x

3/4=7/x

3x/4=7

3x=28

x=28/3

Answer: the answer is 9 or 9.333333

please help me with this input output.​

Answers

Answer:

Step-by-step explanation:

IT WOUKF BE

Debra bought 1.025 pounds of ham and 1.143 pounds of turkey. Each pound of ham and turkey costs $5.00. How much did Debra spend?

Answers

Answer:

10.84

Step-by-step explanation:

1.025*5+1.143*5=10.84

solve for x. 2/2+x=1/x+5

Answers

Answer:

Step-by-step explanation:

its 8 duh jk its your mom XD

A movie company spent $12,000,000 making a feature film. If tickets to see the movie cost $8.00 each, determine the number of tickets that must be sold in order for the company to break even

Answers

Answer:

1500000

Step-by-step explanation:

Whatis the sum and classicalion of 3/20 + /10

Answers

Answer:

13 /20

Step-by-step explanation:

tou need to find LCM and do the process by your own


d + 9 = 35 6th grade

Answers

26 is the answer, you just subtract 9 from 35 and you get 26

Answer:

D = 26

Step-by-step explanation:

All you have to do is subtract 35 by 9, which is 26.

So,

26 + 9 = 35

Chris is studying a type of coral that grows at a constant rate. They measured the age and height of 3
pieces of the coral. Here's what they found:

Answers

The equation is; y = 7/2x

What is the equation?

We know that we could be able to obtain the equation by the use of the equation is a straight line. The general form of the equation of a straight line is given as y = mx +c

The first thing that we must do is to obtain the slope of the graph from;

m = y2 - y1/x2  x1

m = 45 - 15/6 - 2

m = 7/2

The graph begins at origin hence c = 0

y = 7/2x

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Molly is making strawberry infused water. For each ounce of strawberry juice, she uses two times as many ounces of water. How many ounces of strawberry juice and how many ounces of water does she need to make 39 ounces of strawberry infused water?

Answers

Answer: 39 ounces of strawberry juice, 78 ounces of water.

Step-by-step explanation:

Since Molly uses "each ounce" meaning 1 per strawberry juice, 39 ounces of strawberry infused water would mean she uses 39 ounces of strawberry juice. Then, it says she uses two times as many as those 39 ounces of strawberry juice for water. This means you multiply 39 by 2 which means you get 78 ounces.

Molly uses 39 ounces of strawberry juice and 78 ounces of water to get 39 ounces of Strawberry Infused Water.

How do I factor 7.2x2y - 0.9xy2

Answers

Answer:

[tex]xy\left(7.2x-0.9y\right)[/tex]

Step-by-step explanation:

[tex]Rule: a^{b+c}=a^ba^c\\(x^2y=xxy,\:xy^2=xyy)\\=7.2x(xy)-0.9xyy\\=xy\left(7.2x-0.9y\right)[/tex]

Jan is saving money to buy a bike. The bike costs $255. She has $120 saved and each week she adds $15 to her savings. Write and solve an equation to find how long will it take her to save enough money to buy the bike.

Answers

Answer is 9 weeks

Step by step

We can use the y intercept formula
y = mx + b

The cost of the bike is “y” $255
The starting point is “b” $120 saved
The rate is “m” $15 per week
Our unknown amount of weeks is x

$255 = $15x + $120

Solve for x

Subtract 120 from both sides to isolate x

255 - 120 = 15x + 120 - 120

135 = 15x

Divide both sides by 15 to solve for x

135 /15 = 15/15 x

9 = x

9 = amount of weeks

We can check our work by substituting 9 in place of x in our equation

255 = (15)(9) + 120

255 = 135 + 120

255 = 255

You save $15 each month to buy a tablet that
Cost $184.99. Describe the number of monins
gou need to save to buy the tablet.

Answers

Answer:

13

Step-by-step explanation:

........................

S = 2πr(r + h)
Find the total surface area of a cylinder with radius 3 and height 5.
Enter an exact answer in terms of pie

Answers

Answer:

Step-by-step explanation:

We would substitute in 3 for r and 5 for h

s = 2[tex]\pi[/tex](3 + 5)

s = 2[tex]\pi[/tex]8

2 = 16[tex]\pi[/tex]

Water flows from the hose at a rate of 20 gallons per minute into an enormous swimming pool. How long does it take to fill the swimming pool shown? (Hint: It takes about 14 gallons of water to fill 1 cubic foot.)

Answers

Answer: please provide info

Step-by-step explanation:

There is no information provided of the swimming pool's depth, length or width.

However, to solve this, just find depth x length x width

then, take that answer and divide it by 20.

Determine the value of c in the diagram. C 50°​

Answers

Answer: 10

Step-by-step explanation:

The value of C is 10, because if 50° was in half, it would been 10 and 5.

Brainliest, 30 pts, thanks, 5 star guarantee.

Answers

The triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

What is a transformation of a shape?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

The reflection does not change the shape and size of the geometry. But flipped the image.

The triangle ΔXYZ is reflected across the line AB to get the tringle ΔX'Y'Z'.

The diagram is given below.

A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersects the line of reflection at a right angle.

Thus, the triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

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How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?

The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.

Answers

The function g(x) increases at a faster rate and has a greater initial value.

Simplify f(x).[tex]f(x) = \left(\sqrt{16}\right)^{x}[/tex][tex]f(x) =\left(\sqrt{4^{2}}\right)^{x}[/tex][tex]f(x) = \left(4\right)^{x}[/tex]Simplify g(x).[tex]g(x)=3\left(\sqrt{64}\right)^{x}[/tex][tex]g(x)=3\left(\sqrt{8^{2}}\right)^{x}[/tex][tex]g(x)=3\left(8\right)^{x}[/tex]Compare the functions f(x) and g(x).f(x) and g(x) are not equivalent as the bases of the exponents are different.We will find the initial value for both our functions (value of functions when x is 0).For x=0,[tex]f(0)=\left(4\right)^{0} = 1[/tex][tex]g(0)=3\left(8\right)^{0}=3*1=3[/tex]The initial value of g(x) is greater than the initial value of f(x).In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.With the help of a graphing tool, the two functions were plotted.The function g(x) increases at a faster rate than the function f(x)(see the attached figure).That means that the value of g(x) is greater than the value of f(x) for the same value of x.Thus,The function g(x) increases at a faster rate and has a greater initial value.

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Calculate the distance between Point A (-8,-2) and Point B(6,-1) Leave the answer in radical form.​

Answers

the distance between Point A (-8,-2) and Point B(6,-1) in Radical form= [tex]\sqrt{197}[/tex]

Distance formula:
The distance between two points formula uses the coordinates of two points in space. In coordinate geometry, the distance between two points can be calculated using the distance formula, present in a two-dimensional or three-dimensional space. The distance formula for two points is also an application of the Pythagoras theorem

the distance formula is used to find the distance between any two points when we already know the coordinates. The points could be present alone on the x-axis or y-axis or on both axes.

Let us consider, that there are two points say A and B in an XY plane. The coordinates of point A are (x1,y1), and of B are (x2,y2). Then the formula to find the distance between two points PQ is given by:

AB=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]

Note: If the coordinates of two points P and Q are such that, (x1, 0) and (x2, 0), the distance between PQ will be given by:

PQ = |x2 – x1|

the distance between point origin O(0,0) and P(x,y) is given by:

OP = √((x2 – 0)² + (y2 – 0)²)

OP = √((x2)² + (y2)²)

or simply,

OP = √(x² + y²)

Solution :

where x and y are coordinates of points other than the origin.

Given :

(x1,y1) = (-8,-2)

(x2,y2)= (6,-1)

Solution:

[tex]d=\sqrt{x^{2} +y^{2} } \\d=\sqrt{(6+8)^{2} +(-1+2)^{2} } \\d=\sqrt{14^{2}+1^{2} } \\[/tex]

[tex]d=\sqrt({197)[/tex]

Radical form= [tex]\sqrt{197}[/tex]

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A case of 8 items costs $9.44 at Costco. What is the price of each item?

Answers

Answer: $1.18 per item

Step-by-step explanation:

9.44/8=$1.18 per item

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