Which type of validity evidence requires a correlation procedure?

The number of karats in the bracelets which is 42% gold is equal to 10 karats ( round to the nearest whole number ).

As given in the question,

Number of karats represents pure gold is equal to 24 karats

Percentage form of pure gold = 100%

Proportion representation of pure gold to karat is given by:

24 karats is equal to 100% pure gold

100% gold = 24 karats

⇒ 1% gold = ( 24 / 100 ) karats

⇒ 42% gold = ( 24 × 42 )  / 100 karats

⇒ 42% gold = 10.08 karats

                    = 10 karats ( round to the nearest whole number )

Therefore, number of karats in the bracelets which is 42% gold is equal to 10 karats ( round to the nearest whole number ).

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Answer:

m= 1, n = -4

Explanation:

Given the simultaneous equation

3m + 4n = -13 ...1 * 5

5m + 6n = -19....2 * 3

_______________________

15m + 20n = -65

15m + 18n = -57

Subtract the resulting equation:

20n - 18n = -65-(-57)

2n = -65+57

2n = -8

n = -8/2

n = -4

Substitute n = -4 into equation 1;

From1:

3m + 4n = -13

3m + 4(-4) = -13

3m - 16 = -13

3m = -13 + 16

3m = 3

m = 3/3

m = 1

Hence the value of m is 1

The solution to the system of equation (m, n) is (1, -4)

True, Logarithms were used extensively for complicated calculations before the electronic calculator became widely available. A logarithm is a mathematical function that helps simplify complex arithmetic operations by converting multiplication and division into addition and subtraction, respectively.

By using logarithms, complex calculations could be broken down into simpler steps and performed more easily. Logarithms were particularly useful in fields such as astronomy, physics, and engineering, where large numbers and complicated formulas were common. However, with the advent of electronic calculators, the use of logarithms for everyday calculations declined. Today, logarithms are still used in certain fields and for specific applications, but they are no longer the primary tool for carrying out complicated calculations.

Before the electronic calculator became widely available, logarithms were used to carry out complicated calculations. Logarithms simplified complex calculations by turning multiplication and division operations into addition and subtraction.

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Substituting these values back into equation (i), we get D = 4(3) = 12. There are 3 nickels, 12 dimes, and 3 quarters in the collection.

Let's assume the number of nickels is N, the number of dimes is D, and the number of quarters is Q. From the given information, we can deduce three equations:

(i) D = 4N (since there are 4 times more dimes than nickels),

(ii) N + D + Q = 18 (since there are 18 coins in total), and

(iii) 5N + 10D + 25Q = 290 (since the total value of the coins is 290 cents or $2.90).

To solve these equations, we can substitute the value of D from equation (i) into equations (ii) and (iii).

Substituting D = 4N into equation (ii), we get N + 4N + Q = 18, which simplifies to 5N + Q = 18.

Substituting D = 4N into equation (iii), we get 5N + 10(4N) + 25Q = 290, which simplifies to 45N + 25Q = 290.

Now we have a system of two equations with two variables (N and Q). By solving these equations simultaneously, we find N = 3 and Q = 3.

Substituting these values back into equation (i), we get D = 4(3) = 12.

Therefore, there are 3 nickels, 12 dimes, and 3 quarters in the collection.

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Using mean formula for given frequency, the estimate mean is 17.49 ..

Mean is defined as the ratio of sum of observations by the total number of observations.

we have given the discrete class interval so, first we find out the mid point of intervals and then proceed . Arrange the given data

intervals Mid-point(Xᵢ) frequency(fᵢ) fixi

1 -7 4 6 24

8 -10 9 15 135

11 -15 13 20 26

16-20 18 18 324

21-35 26 10 260

36 - 50 43 8 344

Sum of fᵢ Xᵢ= 24+135+260+260+324+344 =1347

Sum of frequency (fi) = 6+15+20+18+10+8 = 77

Using Mean formula for given frequency data is

Mean = (∑fᵢ Xᵢ )/∑fᵢ= 1347/ 77 = 17.49

Hence, the estimate mean is 17.49 ( around two decimals ) .

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The marginal revenue when 6,000 video games have been produced and sold is approximately $220. Among the given options, the statement "Producing and selling the 51st item will increase total profits" is true.

To find the marginal revenue, we need to take the derivative of the revenue function R(x) with respect to x. In this case, the revenue function is given by R(x) = 270/(x - 3) + 4500. Taking the derivative, we get:

R'(x) = -270/(x - 3)^2

To approximate the marginal revenue when 6,000 video games have been produced and sold (x = 6), we substitute the value of x into the derivative:

R'(6) = -270/(6 - 3)^2 = -270/9 = -30

Therefore, the marginal revenue when 6,000 video games have been produced and sold is approximately $30.

Now, considering the options related to Dr. Little's Wissing at Love A Strategy Guide to the Game of Tennis 2, we can determine the correct statement by analyzing the relationship between marginal cost (C'(x)) and marginal revenue (R'(x)). If marginal cost is greater than marginal revenue, total profits are negative.

Since the given statement states that marginal cost is greater than marginal revenue when 50 items have been sold, it implies that total profits are negative. Thus, the correct statement is "Since marginal cost is greater than marginal revenue, total profits are negative when 50 items have been sold."

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Answer:

Its 12

Step-by-step explanation:

Ok done

Answer: Percentage of half board students in college is 60%

Step-by-step explanation:

We know that percentage of desired quantity is:

n% = ( number of desired quantity / total number of quantity ) * 100

n% = ( n / N ) * 100  .......... (i)

where n% = percentage of desired quantity.

N = total number of quantity.

n = number of desired quantity.

Now, as per the question:

Half board students in college = 372

Total students in college = 620

percentage of Half board students in college = (372/620) * 100

n% = (372/620)*100

n% = 60%

Therefore, at 372 half board students in college , percentage of half board students in college is 60%.

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The value of y is :

y = ln(2/(eˣ + 1))

Given equation is :

(e-2x+y +e-2x) dx - eydy = 0

To solve the separable equation, we need to separate the variables in the differential equation.

The given differential equation can be written as,

(e-2x+y +e-2x) dx - eydy = 0

Let's divide by ey and write it as,

(\(e^{-y}\) (e⁻²ˣ+y +e⁻²ˣ )) dx - dy = 0

(\(e^{-y}\) (e⁻²ˣ+y +e⁻²ˣ )) dx = dy

Taking the integral of both sides of the equation we get:

∫(\(e^{-y}\)  (e⁻²ˣ+y +e⁻²ˣ )) dx = ∫ dy

On the left side we can write,

\(e^{-y}\)  ∫(e⁻²ˣ+y +e⁻²ˣ ) dx= y + C

After solving this differential equation, the value of y is y = ln(2/(eˣ + 1)).

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Start ( 10, -9)

Bakery ( 11, -8)

End (12 , -7)

Distance = [(x2 - x1)^2 + (y2 - y1)^2] ^1/2

Distance from S to B

[(11-10)^2 + (-8- (-9))^2]^1/2

[ 1 + 1 ] ^ 1/2

2 ^ 1/2

Distance from B to E

[(12-11)^2 + (-7-(-8))^2]^1/2

[ 1 + 1] ^1/2

2^1/2

Distance from S to E

[(12-10)^2 + (-7 - (-9))^2]^1/2

[4 + 4]^1/2

8^1/2

ratio

2^1/2 / 8^1/2

= 1/2

the ratio could also be the reverse

8 ^1/2 / 2^ 1/2

= 2

Answer:

1/2 and 2

Answer:

x=-64

Step-by-step explanation:

Divide both sides by -0.25. You get:

8+x=-56

Subtract 8 from both sides. You get:

x=-64

The probability that all the numbers rolled are distinct is 0.015.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that suppose six 6-sided dice are rolled. The probability of the numbers rolled are distinct is calculated as,

Probability = 6! / 6⁶

Probability = ( 720 ) / ( 46656)

Probability = 5 / 324

P = 0.015

Therefore, the probability that all the numbers rolled are distinct is 0.015.

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Answer:

y = 31

Step-by-step explanation:

Given

y = \(x^{5}\) + 32 ← substitute x = - 2

y = \((-2)^{5}\) + 63 = - 32 + 63 = 31

Answer:

Its 2 x radius

Step-by-step explanation:

Answer:

Twice the radius length.

Step-by-step explanation:

Generally, the diameter is the length of a line that extends from one point on a circle to another point on a circle as long as that line passes through the center of the circle. Essentially, a diameter, in short, is twice the length of the radius of a circle.

The congruency rules is as follows;

4)a) The triangles are congruent by SSS Congruency Postulate

b) Triangle PQR is congruent to Triangle PQS

5a) The triangles are not congruent

b) Triangle VWZ is not congruent to Triangle YXZ

6a) The triangles are congruent by SAS Congruency Postulate

b) ΔACB is congruent to ΔDBC by SAS Congruency Postulate

7) The triangles are not congruent

b) ΔKLJ is not congruent to ΔMNL

There are different congruency postulates or theorems as it pertains to congruent triangles and they are;

AAS theorem which denotes Angle-Angle-Side Theorem

HL theorem which denotes Hypotenuse-Leg Theorem

SSS Postulate which denotes Side-Side-Side Postulate

ASA postulate which denotes Angle-Side-Angle Postulate

SAS Postulate which denotes Side-Angle-Side Postulate

5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. However, the third side is also congruent by reflexive property of congruency and as such we now have three sides congruent by SSS Congruency Postulate.

5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. Now, the angle where the transverse lines intersect is not given but we can see that they are opposite angles by definition of opposite angles. Thus, the triangles are congruent by SSA Congruency Theorem because it has a non-included angle but SSA Congruency is not valid and so this is not congruent.

6) We can see that one side is given to be congruent. However, by reflexive property of congruence, we see that BC is congruent to itself and also the included right angle being congruent to each other. Thus, this is congruent by SAS Congruency postulate.

7) The triangles are not congruent because we are not given any third congruent side nor the angles and we can't use the given data to prove congruency.

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Answer:

\(x = \frac{ log(125) }{ log(25) } = \frac{ log( {5}^{3} ) }{ log( {5}^{2} ) } = \frac{3 log(5) }{2 log(5) } = \frac{3}{2} = 1 \frac{1}{2} \)

y = -2

Since this is a line, it will be a straight linear line passing. Since it passes through coordinates with same y value, there is no slope.

Answer:

y = -2

Since this is a line, it will be a straight linear line passing. Since it passes through coordinates with same y value, there is no slope.

Step-by-step explanation:

There are 7,941,658,620 different ways to divide up the prizes so that either Alice or Bob, or both, win.

To count the number of ways to distribute the prizes such that Alice and/or Bob receive a prize, we will use the principle of inclusion-exclusion.

Let A be the event that Alice receives a prize and B be the event that Bob receives a prize. Then, we want to count the number of outcomes in the event A∪B (that is, the number of ways in which either Alice or Bob or both receive a prize).

By the principle of inclusion-exclusion, we have:

|A∪B| = |A| + |B| - |A∩B|

where |A| is the number of outcomes in event A, |B| is the number of outcomes in event B, and |A∩B| is the number of outcomes in the intersection of events A and B.

To count these values, we consider the following cases:

Case 1: Alice and Bob both receive a prize.

In this case, we have 8 prizes left to distribute to the remaining 98 students. The number of ways to distribute these prizes is:

98\(c_{8}\)

Case 2: Alice receives a prize but Bob does not.

In this case, we have 1 prize that must be given to Alice, and 9 prizes left to distribute to the remaining 98 students. The number of ways to distribute these prizes is:

98\(C_{9}\)

Case 3: Bob receives a prize but Alice does not.

This is the same as Case 2, so the number of ways is also 98\(C_{9}\)

Adding up the number of outcomes from each case gives us:

|A∪B| = 98\(c_{8}\) + 2{98\(C_{9}\)}

Plugging in the values, we get:

|A∪B| = 7,941,658,620

Therefore, there are 7,941,658,620 ways to distribute the prizes such that either Alice or Bob or both receive a prize.

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Answer:

i hope this is right  A=50.27

Step-by-step explanation:

Answer:

150 = 0.50y + 1.00x

Step-by-step explanation:

Answer:

Modern uses. Roman numerals are still used today and can be found in many places. They are still used in almost all cases for the copyright date on films, television programmes, and videos - for example MCMLXXXVI for 1986.

Five monuments around the world where Roman numerals are used to depict the year in which they were built are indicated below.

The roman monuments and the dates they were built are:

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Answer:

The question is possibly mistyped.  The response below explains why, but also answers the questions based on a imagined relationship, instead of the one given.

Step-by-step explanation:

The equation 30 + 1.25x = 15 + 25X cannot be interpreted in the manner the questions are written.  It is really only an expression, since there is no y in the equation, only x.  We can, however, solve for x:

30+1.25x = 15 + 25x

30 - 15 = 25x - 1.25x

15 = 13.75x

x = (15/13.75)

x = 1.0909

There is no other information to discern what x represents.  It could be light years to a particular comet, grams of a reagent, hours until the meat is cooked, or anything the imagination allows.

If, however, the equation were something like:

  y = 1.25x + 15

we could answer the questions, as follows;

A pet sitter charges a flat fee of $15

sitter charges a flat fee of $15 plus $1.25/hr

The rest of the questions are not coherent.

==========

"two pet sitters the same?

plus $1.25 per hour to keep a dog during the day. A second pet

per hour. After (select)

Is the charge for the"

The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.

A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.

The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1

The elk population in 2014 will be 19,700We must first establish the method

2014=700 should add 10 times then we will get the 2014th year population.

so the population of 2014th will 19700

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Answer:

5/7

Step-by-step explanation:

hope this helps :)

bills refer to invoices or statements issued to request payment for goods or services provided. They typically outline the amount owed, due date, and payment instructions.

Based on the claim that at most 28% of internet users pay bills online, we need to determine if the recent survey supports or contradicts this claim.

The recent survey of 326 internet users indicated that 25% pay their bills online. To determine if this supports the claim, we need to compare the survey result to the claim.

Since the claim states "at most" 28% of internet users pay bills online, it means that 28% is the maximum percentage. Therefore, if the survey result of 25% falls within this range, it supports the claim.

To calculate this, we subtract the survey result (25%) from the maximum claim (28%):

28% - 25% = 3%

Since the difference is 3%, which is a positive value, the survey result of 25% falls within the maximum claim of 28%. Therefore, the recent survey supports the claim that at most 28% of internet users pay bills online.

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Answer:

below

Step-by-step explanation:

the law of indices:

a) x⁵

b) x¹⁷

c) -18s⁹

d) -60x²