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Consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14,, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a random sample drawn from the data set. The sample mean is more than the population mean by

Answers

Answer 1

Answer: The sample mean is more than the population mean by 3.5

=======================================================

Explanation:

To get the population mean, first add up all the population values

4+6+7+11+12+18+26+23+14+31+22+12 = 186

Then divide that over 12 as there are 12 values in the population

186/12 = 15.5

The population mean is 15.5

----------

The sample mean is computed the same way

add the values = 11+31+22+12 = 76

Divide the sum by 4 = 76/4 = 19

The sample mean is 19

The sample mean is larger by 19 - 15.5 = 3.5


Related Questions

12. What value of c would make x = 4 in the
equation 5 + cx = 13 ?

Answers

Plug in 4 for x and solve equation like so. c=2

Find an equation of the line that passes through the given point and has the indicated slope m.

Answers

Answer:

y = -5.5

Step-by-step explanation:

The only lines that have a slope of 0 are horizontal lines. Horizontal lines are always in the form y = c where c is a constant. Basically, on a horizontal line, no matter what x is, y will always be the constant c. Therefore, the x coordinate of our given point does not matter and we only have to look a the y-coordinate, which is -5.5. Therefore, the equation is y = -5.5.

Emma wants to know how much her dog weighs. She held her dog and stepped on the scale. Their combined weight is 118.6 pounds. Emma weighs 85.4 pounds, so how many pounds does her dog weigh?

Answers

Answer:

33.2

Step-by-step explanation:

90 POINTS PLEASE HELP Choose one problem below and use trigonometry to solve for the missing side x of the right triangle

Answers

Answer:

x = 13.28

Step-by-step explanation:

basic trig ratios: using tanФ = opp/adj.

tan(38) = x / 17

x = tan(38) * 17

x = 13.28

to get more idea of the subject, read below:

The cotangent (cot)

The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.

tan(A) = opp/adj = a/b

cot(A) =adj/opp = b/c

Answer:

[tex]\Huge \boxed{x \approx 13.28}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the problem.

[tex]\sf \displaystyle tan (\theta)=\frac{opposite}{adjacent}[/tex]

[tex]\sf \displaystyle tan (38)=\frac{x}{17}[/tex]

Multiplying both sides by 17.

[tex]\sf \displaystyle 17 \cdot tan (38)=\frac{x}{17} \cdot 17[/tex]

[tex]\sf x= 13.28185565...[/tex]

The measure of x is approximately 13.28.

[tex]\rule[225]{225}{2}[/tex]

1. Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise. What
are the new image points for triangle A'B'C'?

Answers

Answer: A'(3,2),  B'(0,1)  and C'(-4, -5).

Step-by-step explanation:

When we rotate (a,b) 90 degrees clockwise, the new point will be (b,-a).

i.e. rotation rule for 90 degrees clockwise : (x,y) → (y,-x)

Given: Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise.

Then, the new image points for triangle A'B'C' will be :

A(-2,3) → A'(3,-(-2)) =A'(3,2)

B(-1,0)→ B'(0,-(-1)) = B'(0,1)

C(5,-4) → C'(-4, -5)

Hence, the new image points for triangle A'B'C' are A'(3,2),  B'(0,1)  and C'(-4, -5).

Look at this graph:

What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer: 1/3

Step-by-step explanation:

Two points on this graph are (40, 80) and (70, 90). These points can be used to find the slope. The formula for slope is (y2-y1)/(x2-x1).Plugging our numbers into the formula: (80-90)/(40-70) = (-10)/(-30) = 1/3

A cabinet is 6 feet high, 3 feet wide and 2 feet long. The entire outside of the cabinet is being painted, except for the bottom. What is the surface area being painted?

Answers

Answer:

66ft²

Step-by-step explanation:

The cabinet is rectangular shaped. Using the formula for calculating the surface area of a reactangular bos to solve the problem.

Surface area = 2(LW+WH+LH) where;

L is the length of the cabinet

W is the width of the cabinet

H is the height of the cabinet.

If the entire outside of the cabinet is being painted, except for the bottom, then the surface area of the painted area will be expressed as;

S = LW+2WH+2LH

Given L = 2 feet, W = 3 feet and H = 6 feet

S = 2(3)+2(3*6)+2(2*6)

S = 6+2(18)+2(12)

S = 6+36+24

S = 66 feet²

Hence the surface area of the painted part is 66ft²

HELP PLZ WILL GIVE BRAINLIEST

Answers

Answer:

x = 31 °

Step-by-step explanation:

90 = 58 + x

x = 90 - 58

x = 31 °

Answer:

x° = 32°

Step-by-step explanation:

∠BAC = ∠IAK = 58° (Vertically opposite angles)

∠GCJ = ∠ACB = x° (Vertically opposite angles)

Angles of a Δ ABC = 180°

Δ ABC = 90° + 58° + x° = 180°

⇒x° = 180° - 90° - 58 °

x° = 32°

Which of the following statements is true?

A) Two similar triangles must be congruent.
B) Two congruent triangles must be similar.
C) Two triangles having ye same area must be congruent.
D) Two triangles having the same perimeter must be similar.

Answers

Answer:

A or C

Step-by-step explanation:

I need help on how to explain my answer.

Answers

Answer:

(1,-1)

Step-by-step explanation:

(1,-1) because if you subtract 5-6 you get -1 and 2-1 you get 1.

Answer:

if F where to move down 6 points then it would be 2, -1.

then if it where to move left 1 unit the coordinants for F prime would be

(1, -1)

A particle is thrown vertically upwards with velocity 20 metre per second find a the distance travelled by the particle in first 3 second and displacement of the particle in 3 seconds ​

Answers

Step-by-step explanation:

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

[tex]\huge\underline\bold\green{Gïvëñ}[/tex]

[tex]\small\underline\bold\red{ v=0}[/tex]

[tex]\small\underline\bold\blue{ v = u+gt}[/tex]

[tex]\small\underline\bold\blue{0=20-10t}[/tex]

[tex]\small\underline\bold\blue{t = 2 sec}[/tex]

[tex]\huge\underline\bold\yellow{distance in first 2 second }[/tex]

s = s(t=0 to 2 second) + s(2second to 3 second)

s = (ut+1\2(at)^2+ (ut+1\2at^2)

s = 20×2-1\2×10×4+1\2×10×1

s = 25

[tex]\huge\underline\bold\blue{Displacement}[/tex]

s = 20 - 5 = 15

Hope it helps

Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6

Answers

Answer:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Step-by-step explanation:

We want to solve the quadratic inequality:

[tex]9x^2-15x<6[/tex]

In order to solve a quadratic inequality, find its zeros. That is, let the inequality sign be an equal sign and solve for x. We do this because it denotes when the graph crosses the x-axis: that is, when it is positive and/or negative. This yields:

[tex]9x^2-15x=6[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned} 9x^2-15x-6 &= 0\\ 3x^2 - 15 -6 &= 0 \\ (3x+1)(x-2) &= 0\end{aligned}[/tex]

By the Zero Product Property:

[tex]\displaystyle 3x + 1 = 0 \text{ or } x - 2 = 0[/tex]

Hence:

[tex]\displaystyle x = -\frac{1}{3}\text{ or } x = 2[/tex]

Now, we can test intervals. The three intervals are: all values less than -1/3, values between -1/3 and 2, and all values greater than 2.

To test the first interval, let x = -1. Substitute this into our original inequality:

[tex]\displaystyle \begin{aligned}9(-1)^2 -15(-1) \, &?\, 6 \\ 9+15 \, &? \, 6 \\ 24&> 6 \xmark \end{aligned}[/tex]

The resulting symbol is "greater than," which is not our desired symbol.

To test the interval between -1/3 and 2, we can let x = 0:

[tex]\displaystyle \begin{aligned} 9(0)^2 - 15(0) \, &? \, 6 \\ (0) - (0) \, &? \, 6 \\ 0 &< 6\, \checkmark\end{aligned}[/tex]

The resulting symbol is indeed less than. So, the interval (-1/3, 2) is a part of our solution.

Finally, to test the third interval, let x = 3. Then:

[tex]\displaystyle \begin{aligned} 9(3)^2 - 15(3) \, &? \, 6 \\ (81) - (45) \, &? \, 6 \\ 36 &> 6\end{aligned}[/tex]

Again, this is not our desired symbol.

In conclusion, our only solution is the interval:

[tex]\displaystyle \left(-\frac{1}{3}, 2\right)[/tex]

Or as an inequality:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Using the graph provided, find f(x)=2

Answers

Answer:

so x=3

Step-by-step explanation:

f(x) = 2

We want to find the x value when y =2

Going across where y = 2

Then go down to find the x value x=3 when y = 2

f(3) =2

so x=3

Given the points A(-1, 2) and B(7, 14), find the coordinates of the point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in the ratio 1:3. Show your work.

Answers

Answer:

  (1, 5)

Step-by-step explanation:

The desired point is the weighted average of the end point coordinates. The weights are the reverse of the relative line segment lengths.

  P = (3A +1B)(3+1) = (3(-1, 2) +(7, 14))/4 = (-3+7, 6+14)/4 = (1, 5)

The point of interest is (1, 5).

1.25+3/4+4/10+2 x 3/8+ 1.6

Answers

Answer:

(3x/4) + 4

Step-by-step explanation:

convert al to decimal and then add

1.25 + 0.75 +0 .4 + 2x 0.375 + 1.6

3 and one half times two eleventh’s divided by two and one third times eleven equals...

Answers

3 1/2 x 2/11 divided by 2 1/2 x 11 = 7/6

7/6 — answer

How many atoms are contained in 1cm of
interstellar space?

Answers

Answer:

0.1 atoms

Step-by-step explanation:

Typically, there is 0.1 atoms in each cubic centimeter of interstellar wind, and 10 ions in each cubic centimeter of solar wind (versus surface air which contains 3 x 10^19 molecules per cc). This means there is a great deal of dead space between the very tiny particles and collisions are rare.

Answer-1 billion

Step-by-step explanation:

Solve 2x^2+16x+34=0?????

Answers

Answer:

2([tex]x^{2}[/tex]+8x+17)

Step-by-step explanation:

Factor out 2 of the equation.

Answer:

For real numbers: no solution

For complex numbers: [tex] x = -4 \pm 4i [/tex]

Step-by-step explanation:

2x^2 + 16x + 34 = 0

Divide both sides by 2.

x^2 + 8x + 17 = 0

There are no two numbers whose product is 17 and whose sum is 8, so this polynomial is not factorable.

We can use the quadratic formula.

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

We have a = 1; b = 8; c = 17

[tex] x = \dfrac{-8 \pm \sqrt{8^2 - 4(1)(17)}}{2(1)} [/tex]

[tex] x = \dfrac{-8 \pm \sqrt{64 - 68}}{2} [/tex]

[tex] x = \dfrac{-8 \pm \sqrt{-64}}{2} [/tex]

If you have not learned imaginary or complex numbers, stop here. Since the discriminant is negative, there is no real solution.

If you have learned complex numbers, then we continue.

[tex] x = \dfrac{-8 \pm 8i}{2} [/tex]

[tex] x = -4 \pm 4i [/tex]

If he pays $46.80 for one year. He receives one magazine each month for 12 months. Find the dollars he pays for each
magazine

Answers

Answer:

Each magazine costs 3.90

Step-by-step explanation:

Take the total cost and divide by the number of magazines

46.80/12

3.90

Answer:

3.90$ per magazine is paid

Joe earned $10 in allowance this week and $2 for each extra chore he did. Let (c) represent the number of extra chores Joe did this week. Which of the following expressions best represents Joe's income for the week? a. 10 + 2c b. 10 + 2 c. 10 + c + 2 d. 10c + 2

Answers

Answer:

10 + 2c (i think)

Step-by-step explanation:

You do the $10 for his cores plus $2x The Amount of extra chores he did

Convert the following to standard notation.
1.5 x 10

Answers

Answer:

15

Step-by-step explanation:

1.5*10 =15

Answer:

15.

Step-by-step explanation:

1.5 x 10 is expanded notation, so you just solve it (by multiplying) to convert it into standard notation.

Five times the sum of a number and 4 is -15.

Answers

number is 3.8

subtract 4 from -15 then divide by five

The university bought a total of 2200 computers they bought three kinds of computers HP IBM and dell the ratio of the number of HP computers to IBM to dell is 2/3 and 6 each HP computer cost $750 each. Computer cost 90% of the price of the HP computer if the university spent a total 1650000 what is the cost of each IBM computer

Answers

Complete question :

The University but a total of 2200 computers they bought three kinds of computers HP, IBM and dell. The ratio of theNumber of HP computers to IBM to dell is 2:3:6 each HP computer cost $750 each dell computer cost 90% of the price of an HP computer if the University spent a total of $1,650,000 what is the total cost of each IBM computer

Answer:

$900

Step-by-step explanation:

Given that :

Total amount of computers purchased = 2200

Number of brands purchased = 3;

HP, IBM and DELL

The ratio of theNumber of HP computers to IBM to dell is 2:3:6

Cost per HP = $750

Cost per Dell = 90% of HP = 0.9 × $750 = $675

Total amount spent = $1,650,000

2:3:6 = (2+3+6) = 11

Number of IBM computers purchased :

(3/11) * 2200 = 600 IBM

(2/11) * 2200 = 400 HP

(6/11) * 2200 = 1200 DELL

TOTAL Cost of HP = (400 × $750) = $300,000

TOTAL cost of Dell = (1200 * $675) = $810,000

TOTAL cost of IBM :

$1,650,000 - ($300,000 + $810,000)

$1,650,000 - $1,110,000 = $540,000

Cost of each IBM:

540,000 / 600 = $900

It costs 4.75 for a pack of 25 pencils. Find the unit price in dollars per pencil. If necessary, round your answer to the nearest cent.

Answers

Answer:

0.19

Step-by-step explanation:

the easiest way to solve for this is 4.75/25 (division). This is assuming I read this right and your asking the price of each individual pencil

0.19 dollars is the unit price.

As we can see that a pack of 25 pencils costs 4.75 dollars

So the cost for 1 pencil would be 4.75/25

=0.19

What does the pack mean?

A group of friends or a group of something

What is a pack example?

An example of to pack is putting collectibles in a box to be stored away. An example of to pack is putting your child's lunch in a lunch box for them to take to school.

An example of to pack is placing what you'll need for a weekend trip in a piece of luggage.

Learn more about nearest value here:https://brainly.com/question/7676027

#SPJ2

.

Write an equivalent expression for the following.
-3(ab +6ba) -(4+b)

Answers

18ba-3ab-b-4
This should be the correct order of the terms too

k squared - 13k+36
[tex]18n + 20n - 378[/tex]

Answers

Answer:

k^2-13+36

38n-378

Step-by-step explanation:

k^2-13k+36

k^2-13+36

The above expression can't be simplified further because they are not like terms.

18n+20n-378

38n-378

Hope this helped ;) ❤❤❤

Josh and David collect pecans for their mother to make a pecan pie. Josh collects 3.25 pounds of pecans, and David harvest 4 3/8 pounds. How many more pounds of pecans does David collect than Josh?

Answers

Answer:

1 1/8

Step-by-step explanation:

So the first step is to convert all of them to fractions, so 3.25 become 3 1/4

Next, we do 4 3/8- 3 1/4

We convert 1/4 to 2/8

So, it's now 4 3/8- 3 2/8

The answer is 1 1/8

Find the area of the shape.

Answers

Your question has been heard loud and clear.

Alright , so basically , the area of a circle formula = pi * R squared

R = radius = 4 units

Pi = 3.14

So , Area =  3.14 into 4 =  12.56 units

So Area of the circle = 12.56 units

Thank you

Answer:

The area is 50.24

Step-by-step explanation:

Here is the equation to find the area of a circle (π=3.14):

A=πr²

A=3.14·4²

A=3.14·16

A=50.24

is 8.3 greater than 83 tenths?

Answers

Answer:

NO

Step-by-step explanation:

They are equal

83 tenths divided by 10 is 8.3

Hope this helps :-)

Sue buys a certain brand of cereal that costs $12 per box. Sue changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand. y = 8x Part A: How many more dollars is the price of a box of Sue's original brand of cereal than the price of a box of the super-saving brand? Show your work. Part B: How much money does Sue save each month with the change in cereal brand if she buys 4 cereal boxes each month? Show your work. (10 points) PLEASEEEEEE help

Answers

Answer:

part A : $4

part B : $16

Sue buys a certain brand of cereal that costs = $12 per box.

She changes to a super-saving brand of the same size.

The equation showing price y as a function of the number of boxes, x is for the new brand.

y = 8x

for x = 1, y = 8

So for 1 box super-saver cereal brand costs $8.00

Part A. - So saving per box = 12 - 8 = $4

Part B. - Money saved in 1 box = $4

Therefore, money saved in 4 boxes = 4 × 4 = $16

HOPE THIS HELP YOU FRIEND

The price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

Price of original cereal box = $12 per box.Price of super saving box = y = 8x, where x is the number of boxes.

putting x= 1, we get y = 8. Thus, for each box of super saving brand, Sue pays $8.

The difference between both box's price is: 12 - 8 = 4 dollars.

Also, as Sue saves 4 dollars on each box of cereal, and she buys 4 boxes of cereal, then if she buys the boxes of super saving brands, then she saves 4 dollars per box for 4 boxes, whose total is 4 times 4 =  16 dollars.

Thus, the price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

Learn more about forming equations here:

https://brainly.com/question/11938672

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