find the unit rate! ​

Find The Unit Rate!

Answers

Answer 1

it would end up by costing $0.55 cents a cup


Related Questions


Using the Rule of 70, what approximate interest rate would be needed for an investment
of $14,000 to double by the end of 32 years?

A22.49
B 45.7%
C 2.19%

Answers

Using the Rule of 70, the approximate interest rate that would be needed for an investment of $14,000 to double by the end of 32 years can be calculated as follows:

The formula for the Rule of 70 is:

Number of years to double = 70 / interest rate (as a decimal)

Solving for the interest rate:

interest rate (as a decimal) = 70 / number of years to double

So, if you want to double your investment in 32 years, you can plug in the number of years:

interest rate (as a decimal) = 70 / 32

interest rate (as a decimal) = 2.188

Converting this decimal to a percentage, the interest rate would be approximately 2.19% (rounded to two decimal places). So, the answer is C: 2.19%.

A triangle has integer side lengths 2, 5 and x. What is the median of all possible
values of x?

Answers

The median of all possible values of x is 5.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

To find the median of all possible values of x, we need to find all the possible values of x first.

By the triangle inequality, we know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, we can write:

2 + 5 > x

2 + x > 5

5 + x > 2

Simplifying each inequality, we get:

7 > x

x > 3

x > -3

The smallest possible integer value for x is 4 and the largest possible integer value for x is 6.

Therefore, the possible integer values for x are 4, 5, and 6.

Since we have an odd number of values, the median is simply the middle value, which is 5.

Therefore, the median of all possible values of x is 5.

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A car salesman earns 5% on the sale of a BMW sold for $103,100. What is his take home pay that day?

Answers

Answer:

$5155

Step-by-step explanation:

We know

A car salesman earns 5% on the sale of a BMW sold for $103,100.

5% = 0.05

What is his take-home pay that day?

We take

103,100 times 0.05 = $5155

SO he takes home $5155.

Step-by-step explanation:

Looks like we're trying to find out what 5% of 103,100 is. We first need to convert the percent into a decimal and then multiply.

[tex]5\% = 0.05[/tex]

Now we can multiply

[tex](0.05)(103100) = 5155[/tex]

……………Help with 22-27…………

Answers

The equations of the lines in slope-intercept form are:

22. y = -1/2x + 3.

23. y = 2x - 3.

24. y = -x

25. y = -2x + 4.

26. y = 3/2x - 2.

27. y = 5/2x - 1/2

28. y = x + 3

29. y = -x + 2

30. y = -1/4x + 9/4

How to Find the Equation of a Line in Slope-intercept Form?

The equation of a line is y = mx + b, in slope-intercept form, where:

m = slope = rise/run = change in y / change in x

b = y-intercept or the point where the graph intercepts the y-axis.

22. Slope (m) = rise/run = -1/2

y-intercept (b) = 3

Substitute m = -1/2 and b = 3 into the equation, y = mx + b:

y = -1/2x + 3.

23. Slope (m) = rise/run = 4/2 = 2

y-intercept (b) = -3

Substitute m = 2 and b = -3 into the equation, y = mx + b:

y = 2x - 3.

24. Slope (m) = rise/run = -2/2 = -1

y-intercept (b) = 0

Substitute m = -1 and b = 0 into the equation, y = mx + b:

y = -x + 0

y = -x

25. Slope (m) = rise/run = -2/1 = -2

y-intercept (b) = 4

Substitute m = -2 and b = 4 into the equation, y = mx + b:

y = -2x + 4.

26. Slope (m) = rise/run = 3/2

y-intercept (b) = -2

Substitute m = 3/2 and b = -2 into the equation, y = mx + b:

y = 3/2x - 2.

27. Slope (m) = rise/run = 5/2

y-intercept (b) = -0.5 = -1/2

Substitute m = 5/2 and b = -1/2 into the equation, y = mx + b:

y = 5/2x - 1/2

28. Slope (m) = change in y / change in x = (5 - 3) / (2 - 0) = 2/2 = 1

y-intercept (b) = 3

Equation is, y = x + 3

29. Slope (m) = change in y / change in x = (-1 - 4) / (3 -(-2)) = -5/5 = -1

Substitute (x, y) = (3, -1) and m = -1 into y = mx + b, to find b:

-1 = -1(3) + b

-1 = -3 + b

-1 + 3 = b

2 = b

b = 2

The equation would be: y = -x + 2

30. Slope (m) = change in y / change in x = (3 - 2) / (-3 - 1) = 1/-4 = -1/4

Substitute (x, y) = (1, 2) and m = -1/4 into y = mx + b, to find b:

2 = -1/4(1) + b

2 = -1/4 + b

b = 2 + 1/4

b = 9/4

The equation would be: y = -1/4x + 9/4

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Rewrite in simplest terms: 6(4y+8)−2y

Answers

22y+48

Distribute the 6 to (4y+8) so it becomes 24y + 48 then subtract 2y
Final answer:

The simplification process of the expression 6(4y+8)−2y involves distributing '6' to '4y' and '8', and then combining like terms, yielding the simplified expression as 22y+48.

Explanation:

To rewrite the given expression in simplest terms, distribute the 6 to the terms inside the parentheses:

6 * 4y = 24y6 * 8 = 48

Now subtract 2y:

24y + 48 - 2y = 22y + 48

So, the expression 6(4y+8)−2y can be simplified to 22y + 48.

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For what value of x is the given parallelogram a rhombus?

Answers

The value of x the given parallelogram a rhombus is 18

How to determine the value of x

From the question, we have the following parameters that can be used in our computation:

The quadrilateral that is a rhombus

The diagonals of rhombus bisect each other

Using the above as a guide, we have the following:

Angle 1 = A

Substitute the known values in the above equation, so, we have the following representation

5x - 30 = 3x + 6

Evaluate

2x = 36

Divide

x = 18

Hence, the value is 18

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Which rational function has the most solutions in common with the function y=2x+6

Answers

Answer: Rational functions are defined as the ratio of two polynomials. A rational function has the most solutions in common with the function y = 2x + 6 if their graphs intersect at the most points.

If a rational function has the same degree as the polynomial function y = 2x + 6, which is degree 1, and has a leading coefficient that is the same sign as the leading coefficient of y = 2x + 6, then their graphs will intersect at the most points.

One such rational function that has the same degree as y = 2x + 6 and has a leading coefficient that is the same sign is:

y = (2x + 6) / 1

So the rational function y = (2x + 6) / 1 has the most solutions in common with the function y = 2x + 6.

Step-by-step explanation:

line u - Line v, what is the value of x?

Answers

16=90+6

X=96/16


Solve


Solution


X=6

4.) You roll a number cube twice. Find the probability that the first roll shows a five, and then
che second roll shows a six.

Answers

The probability of rolling a 5 and then 6 is 1/36

How to determine the probability

From the question, we have the following parameters that can be used in our computation:

Number cube rolled twice

The sample space of each number cube is

Sample space = {1. 2. 3. 4. 5. 6}

From the above entries, we have

P(5) =1/6

P(6) = 1/6

Using the above as a guide, we have the following:

P = 1/6 * 1/6

Evaluate

P = 1/36

Hence, the probability is 1/36

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20. A popular pizza parlor charges $12 for a large cheese pizza plus $1.50 for each additional topping. The
total cost, C, of a pizza with T toppings can be represented by C = 1.50T + 12. What is the domain in
the context of the problem situation?

Answers

Answer:

efgdfhncdrt gguhd r g sixtieth sex

Mayerlin has xx dimes and yy nickels. She has no more than 20 coins worth no less than $1.30 combined. Solve this system of inequalities graphically and determine one possible solution.
what are the inequalities?

Answers

Answer: look at the image for the answers and solutions

Step-by-step explanation:

okay thanks for the info thanks buddy thanks for letting me know i thanks for your reply

if Joaquin bought a lawn mower for $519.20 on a 20% off sale what was the original price of the mower

Answers

Answer: The original price of the lawn mower was $649

Step-by-step explanation:

If Joaquin bought the lawn mower for $519.20 after a 20% discount, it means that he paid only 80% of the original price. We can use this information to calculate the original price of the mower by setting up the following equation:

0.8x = 519.20

where x is the original price of the lawn mower. To solve for x, we can divide both sides of the equation by 0.8:

x = 519.20 / 0.8

x = $649

(Likelihood MC)
A collector has items including baseball cards, gold coins, and stamps in a box. If P(gold coin) 50%, interpret the likelihood of randomly selecting a gold coin from the box.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event

Answers

Answer: The likelihood of randomly selecting a gold coin from the box is "Likely."

When the probability of an event is 50%, it means that there is an equal chance of the event happening or not happening. In this case, the probability of randomly selecting a gold coin from the box is 50%, so it is likely to occur.

Step-by-step explanation:

Show all work to multiply (2+√-25)(4-√-100).

Answers

Product of multiplication of (2+√-25) and (4-√-100) is 58.

What are complex numbers?

Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1).

For example, 6+7i is a complex number, where 6 is a real number and 7i is an imaginary number.

Given complex numbers

(2+√-25) and (4 -√-100)

√-25 = √(5² . -1) = 5√-1

i = √-1

√-25  = 5i

√-100 = √(10² . -1)

√-100 = 10i

Multiplying both numbers

(2+√-25) . (4 -√-100)

then

= (2 + 5i) . (4 - 10i)

Using FOIL method

(a + b)(c + d) = ac + ad + bc + bd

= 8 - 20i + 20i - 50i²

= 8 - 50i²

i² = -1

= 8 + 50

= 58

Hence, 58 is the product of multiplication of (2+√-25)(4-√-100)

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What is the prime factorization of 51?

Answers

The prime factorization of 51 is 3 * 17.

Which inequality represents all the solutions of 4(3x + 2) < 5(3x − 2)? Select the correct answer.

Answers

Answer:

x > 6

Step-by-step explanation:

4(3x+2) < 5(3x-2)

12x+8 < 15x-10

12x-15x < -10-8

-3x < -18

3x > 18

x> 6

Question 9
Triangle ABC has vertices of
A (2,4)
B (3,7)
C (7,4)
What will be the vertices of Triangle A'B'C' after a dilation of k = 2, centered at point A?
A'
B’
C’
I NEED HELP

Answers

The coordinates of the triangle after the dilation of k = 2 is given by

A' ( 4 , 8 ) , B' ( 6 , 14 ) and C' ( 14 , 8 )

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the triangle be represented as ABC

Now , let the dilated triangle be represented as A'B'C'

And , the coordinates of the triangle ABC are

The coordinate of A = A ( 2 , 4 )

The coordinate of B = B ( 3 , 7 )

The coordinate of C = C ( 7 , 4 )

And , the dilation factor k = 2

So , the new coordinates of the dilated triangle are

The coordinate of A' = A' ( 4 , 8 )

The coordinate of B' = B' ( 6 , 14 )

The coordinate of C' = C' ( 14 , 8 )

Hence , the triangle is dilated by a scale factor of 2

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z=-4+5i what is |z|=√

Answers

Answer:

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Class 11

>>Applied Mathematics

>>Number theory

>>Complex Numbers

>>The complex number z satisfying the equa

Question

The complex number z satisfying the equations ∣z∣−4=∣z−i∣−∣z+5i∣=0, is

This question has multiple correct options

A

3−i

B

23−2i

C

−23−2i

D

0

Medium

Open in App

Updated on : 2022-09-05

Solution

Verified by Toppr

Correct options are B) and C)

We have two equation ∣z∣−4=0 and ∣z−i∣−∣z+5i∣=0

Putting z=x+iy i.e x2+y2=16    ....(1)

and ∣x+iy−i∣=∣x+iy+5i∣

⇒x2+(y−1)2=x2+(y+5)2

⇒y=−2   ...(2)

Putting y=−2 in (1), 

x2+4=16⇒x=±2

Step-by-step explanation:

Hence the complex numbers z satisfying the given equation are 

z1=23−2i and z2=−23−2i

How do you find Van t Hoff?

Answers

The formula for Van 't Hoff's law, which is also known as the law of osmotic pressure, is: П = iMRT, where: Π is the osmotic pressure of the solution,

i is the van 't Hoff factor, which is a measure of the number of particles a solute molecule dissociates into in solution, M is the molar concentration of the solute, R is the gas constant, and T is the absolute temperature. Van 't Hoff is a term used to refer to a Dutch chemist named Jacobus Henricus van 't Hoff, who was known for his work on solutions, chemical equilibrium, and the laws of thermodynamics. To find Van 't Hoff, you can do any of the following: Research: You can learn about Van 't Hoff by doing research on his life and work. There are many online and offline resources available that provide information about his contributions to chemistry and his scientific achievements. Education: If you are a student of chemistry, you are likely to encounter Van 't Hoff's name in your coursework. You can learn about his theories and concepts in your chemistry classes or by consulting your textbooks. Application: You can apply Van 't Hoff's laws and principles in solving problems related to chemical equilibrium, colligative properties of solutions, and other thermodynamic concepts. This may involve using mathematical formulas and equations that are based on his work. In summary, Van 't Hoff refers to a Dutch chemist known for his work in thermodynamics, solutions, and chemical equilibrium. You can learn about his contributions to chemistry through research, education, and application of his principles in problem-solving.

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Divide 3x³ - 2x² + 4x - 3 by x² + 3x + 3.

Answers

The quotient of the division is 3x - 11 with a remainder of 37x + 21

How to determine the quotient

From the question, we have the following parameters that can be used in our computation:

Divide 3x³ - 2x² + 4x - 3 by x² + 3x + 3.

Using the long division method of quotient, we have

x² + 3x + 3 | 3x³ - 2x² + 4x - 3

The division steps are as follows

                    3x - 11

x² + 3x + 3 | 3x³ - 2x² + 4x - 3

                    3x³ + 9x² + 9

------------------------------------------------

                               -11x² + 4x - 12

                               -11x² - 33x - 33

------------------------------------------------

                                           37x + 21

Hence, the quotient is 3x - 11

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please help!! i’m confused

Answers

The method that can be used to prove that the triangles are congruent is B. AAS.

How to prove the congruence ?

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

There are two angles in the two triangles that are shown to be equal and there is also a side of one triangle that is equal to anther side. These triangles are therefore congruent.

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What is the value of (2^(2014)+2^(2012))/(2^(2014)-2^(2012))? (A) -1 (B) 1 (C) (5)/(3) (D) 2013 (E) 2^(4024)

Answers

The value of the exponential equation is A = 5/3

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = [ 2²⁰¹⁴ + 2²⁰¹² ] / [ 2²⁰¹⁴ - 2²⁰¹² ]   be equation (1)

On simplifying the equation , we get

Taking the common factor as 2²⁰¹² , we get

A = 2²⁰¹² [ 2² + 1 ] / 2²⁰¹² [ 2² - 1 ]

On further simplification , we get

A = ( 2² + 1 ) / ( 2² - 1 )

A = ( 4 + 1 ) / ( 4 - 1 )

A = 5/3

Therefore , the value of A is 5/3

Hence , the equation is A = 5/3

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3
The volume of a sphere is given by V = Tr³, where r is the radius.
Find the inverse function. Describe what it represents.

Answers

The inverse function is  v⁻¹ = ( v/T)^1/3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that the formula of the volume of the sphere is,

⇒ v = 4/3 πr³

T = 4/3π

Now,

To determine the inverse function we can solve the formula for the term r as;

⇒ v = 4/3 πr³

Multiply by 3/4 we get;

⇒ 3v/4 = πr³

Divide by π both side, we get;

⇒ 3v/4π = r³

Substitute r = v⁻¹ in above equation, we get;

⇒  v⁻¹ = ( v/T)^1/3

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Leo's rent is due a few days before he expects to receive his paycheck from work. He takes out a payday loan for $200 to cover some of his rent and will pay it back when he gets his paycheck. The lender charges $15 for every $100 borrowed, which needs to be paid back in 2 weeks.

Answers

Leo needs to pay back a total of $215 in two weeks.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Leo takes out a payday loan for $200 to cover some of his rent and will pay it back when he gets his paycheck and the lender charges $15 for every $100.

Now, (15/100)×100% = 15%.

Therefore, He has to pay back,

[(100 + 15)/100]×200.

= (115/100)×200.

= 1.15×200.

= $230.

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A tiling pattern is defined by the pattern rule equation n = 5+ 3p, where p is the
position number and n is the number of tiles. How many tiles would there be in
position 26?

Answers

Step-by-step explanation:

n=5+3p

when p=26,

n=5+3×26=83

Graph the line that has a slope of 1/4 and includes the point (0,4).
.

Answers

Answer: y = mx+b

              y = -1x+1/4

Step-by-step explanation:

​E = (children who go to the park),
T = {children who play tennis) ,
G = {children who play golf}
120 children go to the park. 50 play tennis. 75 play golf. 25 do not play tennis or golf.
(a) Show this information in the Venn diagram.
(b) How many children play both golf and tennis?​​

Answers

Answer:

125 children play tennis and golf

don't forget to follow me ,

Answer == 125

75 play Golf
50 play Tennis

75 + 50 = 125

An item has a listed price of 30$. If the sales tax rate is 8%, how much is the sales tax (in dollars)?

Answers

Answer:

32.4

Step-by-step explanation:

8% of 30 is 2.4. So, 2.4 + 30 is 32.4.

The function C approximates the number of calories recommended per day for
a dog, based on the weight, in pounds, of the dog.
The table gives values of C for selected values of p, where C(p) represents the
recommended number of calories per day for a dog that weighs p pounds.
Recommended Number of Calories for Dogs
p (pounds) C(p)
A2.F.BF.A.la
a.
C(x) = 18p +22
b. C(x) = 22p+ 18
?
11
22
33
Which of the equations shown most closely approximates C?
44
55
66
77
88
250
450
750
1000
1250
1500
1700
1880
C.
C(x) = 40(1.06)
d. C(x) = 48(1.07)"

Answers

The equation most closely approximates C is C(x) = 22p+ 18.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that function, C calculates the number of calories recommended per day for a dog based on the dog's weight in pounds.

The equation can be written as:-

C(x) = 22p+ 18.

Here the dependent variable is C(x) and the dependent variable is p. So the value of C(x) will always depend upon the variable p.

Therefore, the correct equation will be C(x) = 22p+ 18.

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please help!! Describe an octant's main features​

Answers

An octant's main features are :

Axes Positive and negative regions Quadrants

What are the main features of an octant ?

An octant is formed by three perpendicular axes, labeled X, Y, and Z. These axes intersect at a common point called the origin. Each octant contains both positive and negative values along the X, Y, and Z axes. The positive region is located on one side of each axis, while the negative region is on the other side.

Each of the three axes divides an octant into two quadrants. These quadrants are numbered from 1 to 8, with quadrant 1 being in the positive X, Y, and Z regions and quadrant 8 being in the negative X, Y, and Z regions.

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which of the following forms of business organization does not protect owners from personal liability for business debts? answer limited partnership sole proprietorship corporation llc A drag racer starts from rest and accelerates at 10 m/s2 for the entire distance of 400 m (1/4 mile). What is the velocity of the race car at the end of the run?. For each situation, determine why the situation cannot be modelled after a binomial distribution. (2 pts each)a. A bowl of candy contains 23 Pluto Bars, 21 Jolly Farmers, 14 Husky's Kisses, 21 Finnish Fishes, and 18 HairHeads. Kristina decides to pull out 77 pieces of candy, without putting any back, and count only the number of Jolly Farmers that she grabs.b. A bowl of candy contains 23 Pluto Bars, 21 Jolly Farmers, 14 Husky's Kisses, 21 Finnish Fishes, and 18 HairHeads. Ian decides to pull out 70 pieces of candy, with replacement, and record each type of candy the he pulls.c. A bowl of candy contains 23 Pluto Bars, 21 Jolly Farmers, 14 Husky's Kisses, 21 Finnish Fishes, and 18 HairHeads. Marissa decides to pull out pieces of candy, with replacement, until a Husky's Kiss is pulled. Only reapers, reaping earlyIn among the bearded barley,Hear a song that echoes cheerlyFrom the river winding clearly,Down to towered Camelot:And by the moon the reaper weary,Piling sheaves in uplands airy,Listening, whispers "'Tis the fairyLady of Shalott."HELP the founders expected the electoral college to make presidents dependent on congress. Sales revenue minus all costs that are directly attributable to a particular product line or region of a business is called the ______. What musical clich would fit a scene where a couple crouches down by the steps in terror?A. Gun shots, loud and dynamicB. Fast tempo, constant rhythms, sequencesC. Slow tempo, legato, major keyD. Dissonant sustained chords What is an example of behavioral perspective in psychology? NH4HS(s) NH3(g) + H2S(g)For this reaction, H = + 93 kJ. The equilibrium above is established by placing solid NH4HS in an evacuated container at 25 C. At equilibrium, some solid NH4HS remains in the container. Predict and explain each of the following.a.The effect on the equilibrium partial pressure of NH3 gas when additional solid NH4HS is introduced into the container.b.The effect on the equilibrium partial pressure of NH3 gas when additional H2S gas is introduced into the container.c. The effect on the mass of solid NH4HS present when the volume of the container is decreased.d. The effect on the mass of solid NH4HS present when the temperature is increased how long does it take to get pregnant after conceiving When performing a pedicure, the nail rasp should be used on each and every toe.. TrueB. False indicate whether the following statements regarding the variance and standard deviation are true or false. a) the population variance and sd use n in the denominator instead of n-1. false b) the sample variance and sd inherit the strengths and weaknesses of the sample mean. _______c) if we did not square the distances in the numerator, we would end up with 0. ______d) the sample variance and sd are robust to outliers and/or extreme points.________ what is 73kg to lbs? What is an announcement that state the american continents were not subjects for future colonization by any european country? Which of the following is correct when comparing a radiant heating system to a conventional hot water heating system?A. The water temperature in a radiant heating system is lower than that in a conventional hot water heating system.B. The water temperature in a radiant heating system is higher than that in a conventional hot water heating system.C. Conventional hot water heating systems use primarily polyethylene, cross-linked tubing.D. Conventional hot water heating systems have piping circuits that are typically concealed in floors. rhyming word for sigh A company has decided to migrate to the AWS Cloud. AWS offers a wide range of services and instance types.They want to reduce costs as much as possible.Which of the following is the main factor to consider when choosing the instance type of services like Amazon RDS and Amazon Redshift?A. Your team experience with these services.B. The type of your current on-premise database.C. Sources of traffic.D. Workload utilization of CPU & RAM. Steven sprinted 14 1/3 laps and then took a break by jogging 4 laps. How much farther did Steven sprint than jog? What is the plural for calf? which of the following molecules is not directly formed by any of the steps of the citric acid cycle? a. ATP.b. CO2. c. NADH. d. FADH2e. coenzyme