fill in the reason that justifies each step 

The following are five different examples of parametric models: exponential distributions, poisson distributions, normal distributions, the Weibull distribution, and linear regressions.

Types of Parametric test–

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Diego rows 300 meters per minute

Information given in the question include

The graph shows the relationship between the time in the distant, Diego rows

The data is plotted as a linear function

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the change of the output values to the input values

the slope, m calculating using the points on the graph (1, 300) and  (2, 600)

m = (y₀ - y₁) / (x₀ - x₁)

m = (600 - 300) / (2 - 1)

m = 300 / (1)

m = 300

The number of meters Diego rows per minute is solved to be 300

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The triangles ΔPQR ~ ΔPXY are similar by using the AA test for the similarity of triangles.

What is the Angle-Angle similarity theorem of triangles?

The AA Similarity Theorem states: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In the given figure,

In ΔPQR and ΔPXY

∠P ≅ ∠P ----- Common Angle

∠PQR ≅ ∠PXY ----Corresponding angles.

So, ΔPQR ~ ΔPXY -----(AA test)

Hence, the triangles ΔPQR ~ ΔPXY are similar by using the AA test for the similarity of triangles.

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The sum of any two sides of a triangle must be greater than the other thus 32 feet,21 feet, and 12 feet will be the correct so options (A),(B), and (D) are correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

As per the given,

To be a triangle of three side polygon the sum of any two sides must be greater than the third side.

If we take 32 feet,21 feet, and 8 feet.

21 + 8 = 29 < 32 so it will not form any triangle.

Thus, 8 cannot be taken. now let's take 32,21 and 12 here 21 + 12 = 33 > 32 so it will form a triangle this will be used for the project.

Hence "The right answer will be 32 feet, 21 feet, and 12 feet because the sum of any two sides of a triangle must be bigger than the other".

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Answer:

m = 2k/v²

Step-by-step explanation:

K = ½mv²

multiply both sides by 2

2 × k = ² × ½mv²

2k = mv²

divide both sides by (v²)

m = 2k/v²

i hope this helped

1. It can be piecewise linear; from x = 1 to x = 4, the y-value increases by the same amount each time. From x = 0 to x = 1, the y-value stays the same.

However, if it is supposed to be a single function, it would be non-linear because it changes slope.

2. It is discrete because there is no data between the points.

Answer: the answer is 8

Step-by-step explanation:

The Answer is: 8

Simply divide 149 by the numbers you see,

Horizontal compression of f(x) = -x + 4 by a factor of 0.5 will be -2x + 4.

A horizontal line that a function's graph looks to coincide with but does not really do so is said to be its horizontal asymptote. The final behavior of the function is determined using the horizontal asymptote.

Given, g(x) is a horizontal compression of function f(x) = - x + 4 by a factor of 0.5. Hence,

g(x) = -x / 0.5 + 4

g(x) = -2x + 4

Therefore, By a factor of 0.5, the horizontal compression of the function (f(x)) is -x + 4 will result in -2x + 4.

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Answer:y=2x+3

Step-by-step explanation:

The slope intercept form is y=mx+b

m equals to slope

b equals the y-intercept

the slop of this equation is 2

The y-intercept is at (0, 3)

y=2x+3

Answer:

14 cups

Step-by-step explanation:

3 + 6 = 9
9 + 4 = 13

13 + 1 = 14

14 plus fraction

Answer: x=5

Step-by-step explanation:

Answer:

(x - 1)² = 16

Step-by-step explanation:

x² - 2x - 15 = 0

x² - 2x + 1 = 15 + 1

(x - 1)² = 16

By using multiplication, it can be calculated that

The complete table is

Number of yogurt bars                       Cost of yogurt bars ($)

             1                                                       1.80

             2                                                      3.60

             3                                                      5.40

             4                                                      7.20

             5                                                      9.00

What is multiplication?

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

This is a word problem on multiplication

Cost of 2 yogurt bars = $1.80 [tex]\times[/tex] 2 = $3.60

Cost of 3 yogurt bars = $1.80 [tex]\times[/tex] 3 = $5.40

Cost of 4 yogurt bars = $1.80 [tex]\times[/tex] 4 = $7.20

Cost of 5 yogurt bars = $1.80 [tex]\times[/tex] 4 = $9.00

So the table is

Number of yogurt bars                       Cost of yogurt bars ($)

             1                                                       1.80

             2                                                      3.60

             3                                                      5.40

             4                                                      7.20

             5                                                      9.00

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The table of values which represent the equation y = 7x - 3 is: table D.

In Mathematics, an ordered pair can be defined as a pair of two (2) elements or points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

In order to determine the true ordered pair that is a solution for the given linear equation, we would have to test the ordered pair contained in each table by substituting it into the linear equation as follows;

For ordered pair (-2, -1), we have:

y = 7x - 3

-1 = 7(-2) - 3

-1 = -14 - 3

-1 = -17 (False).

For ordered pair (-2, -19), we have:

y = 7x - 3

-19 = 7(-2) - 3

-19 = -14 - 3

-19 = -17 (False).

For ordered pair (-2, -15), we have:

y = 7x - 3

-15 = 7(-2) - 3

-15 = -14 - 3

-15 = -17 (False).

For ordered pair (-2, -17), we have:

y = 7x - 3

-17 = 7(-2) - 3

-17 = -14 - 3

-17 = -17 (True).

In this context, we can logically deduce that all of the coordinates in table D represents the equation y = 7x - 3.

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Answer:

The Answer is 20 inches tall

Answer: no solution

Step-by-step explanation:

Correct, there is no solution as any values of x and y will make the equation false

The required expression for the term of the given sequence is aₙ = 625 × (1/5)ⁿ⁻¹.

In order to check a geometric sequence, find the ratios of the consecutive terms of the given sequence. If they are equal, the given sequence is geometric.

The given sequence is as follows,

625, 125, 25, 5, 1

The first term is given as a₁ = 625

And, the ratio of the consecutive terms are,

125/625 = 1/5

25/125 = 1/5

Since the ratio of two consecutive terms are equal, the given sequence is a geometric sequence.

The nth term of a geometric sequence is given as aₙ = a₁rⁿ⁻¹.

Thus, the expression for the given sequence is aₙ = 625 × (1/5)ⁿ⁻¹.

Hence, the term for the given sequence can be written in general form as  aₙ = 625 × (1/5)ⁿ⁻¹.

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The square root of 80 is 4√5 ≅ 8.92.

What is a square root of a number?

In mathematics, the square root of a number is a value that gives the original number on multiplication by itself. The positive number, when multiplied by itself, represents the square of the number. Thus, the square root of the square of a positive number gives the original number.

Using Prime Factorization:

The first step in this method is to find the prime factors of 80.

80 = 2 × 2 × 2 × 2 × 5

To find the root from here, we can simplify this to

√80 = √(2 × 2 × 2 × 2 × 5)

√80 = 4√5

We can either leave it at this or find the root of 5 which is 2.23 and simplify further.

Hence, Square Root of 80 = 4√5 ≅ 8.92.

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When the cost of a gallon of milk increases from $2.81 to $3.48 over a period of 10 years the annual inflation rate is 2.15 percent.

What is a annual inflation rate?

A percentage is used to represent the inflation rate. For instance, a yearly inflation rate of 2% indicates that the cost of products and services as a whole has increased by 2%. As an illustration, a product that cost $10 last year will cost $10.20 this year.

Here, we have

Given

The cost of the gallon of milk earlier was $2.81

The cost of a gallon of milk now is $3.48.

The total time period is 10 years.

r = (F/P)ⁿ⁻¹ - 1

r = {(3.48/2.81)^(1/10) - 1}×100

r = {(1.238)^(1/10) - 1}×100

r = 0.0215 ×100

r = 2.15

Hence, when the cost of a gallon of milk increases from $2.81 to $3.48 over a period of 10 years the annual inflation rate is 2.15 percent.

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Answer:

  19%

Step-by-step explanation:

You want the change from February to April if 4100 bottles were manufactured in February, 7% more were manufactured in March, and 500 more were manufactured in April.

The change from February to March is given as 7%.

The change from March to April is 500 bottles. In terms of the February quantity, this is ...

  500/4100 × 100% ≈ 12.2%

Then the total of changes from February to April is ...

  change = 7% +12.2% = 19.2% ≈ 19%.

The number of bottles manufactured increased by about 19% from February to April.

__

Additional comment

When working with percentages, one must always be aware of the base amount—what it is that represents 100%. Here, we know the 7% number for March uses the February value as its base.

Since we want a percent change from the February base, we can use that same base to find the percent difference from March to April. Then the total difference from February is the difference to March plus the difference from March to April.

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The 56th term of the following arithmetic sequence 7,10,13,16 is 172.

What is the arithmetic sequence?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

Here, we have

Given

Arithmetic sequence 7,10,13,16.

We have to find the 56th term.

The common difference between terms: 10 - 7 = 3

Using the arithmetic progression formula:

nth term = first term + (n-1)* common difference

56th term = 7 +(56-1) 3

56th term = 7 + 55×3

56th term = 7 + 165

56th term = 172

Hence, the 56th term of the following arithmetic sequence 7,10,13,16 is 172.

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Answer:

142.6

Step-by-step explanation:

100% + 15% = 115%
115÷100 = 1.15
1.15 x 124 = 142.6

Hope that helped

To determine a mixture that will make the same shade of green but a smaller amount, we can divide both the yellow and blue amounts by the same number.

To solve this problem, we can use the principle of proportionality, which states that if two ratios are equal, then the quantities they represent are proportional.

A. To find a mixture that will make the same shade of green but a smaller amount, we can divide both the yellow and blue amounts by the same number. For example, if we divide both amounts by 2, we get 1 cup of yellow and 1.75 cups of blue. This will create a smaller amount of the same shade of green.

B. To find a mixture that will make the same shade of green but a bigger amount, we can multiply both the yellow and blue amounts by the same number. For example, if we multiply both amounts by 2, we get 4 cups of yellow and 7 cups of blue. This will create a larger amount of the same shade of green.

C. To find a mixture that will make a different shade of green that is bluer, we can increase the amount of blue relative to the amount of yellow. For example, we could use 2 cups of yellow and 4 cups of blue, which would create a green that is bluer than the original shade.

D. To find a mixture that will make a different shade of green that is more yellow, we can increase the amount of yellow relative to the amount of blue. For example, we could use 3 cups of yellow and 2 cups of blue, which would create a green that is more yellow than the original shade.

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Answer:

126+20+8h=250

Step-by-step explanation:

Answer:

C)w-3, w-1, w, w + 1, w+3

Step-by-step explanation:

I'm not great with standard deviation, but I know that the greater the standard deviation, the more spread out the data is.

C) is the correct answer, the data points do not repeat and are spread out more than A.

You can check this by calculated each standard deviation (but only if you are crazy ;] )

Hope this helps,

:]

Answer:

12 hours

Step-by-step explanation:

1 pair per hour ?

The factorise quadratic equation x² + 18x + 45 = 0 is (x + 3)(x + 15)

A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable.

Therefore, quadratic equation can be represented as follows:

ax² + bx + c

where

Hence, let's factorise x² + 18x + 45 = 0

x² + 18x + 45 = 0

Let's find the two numbers to add to get 18 and multiply to get 45

Therefore, the numbers are 3 and 15

x² + 18x + 45 = 0

x² + 3x + 15x + 45 = 0

x(x + 3) + 15(x + 3) = 0

(x + 3)(x + 15) = 0

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Answer: 1611 no votes

Explanation:

4296/8=537
537*3=1611

$699.95×20%=$139.99,  is the finance charge.

A finance charge is any fee that reflects the cost of credit or borrowing under American law.

Some forms of credit have fees and interest that accrue over time. [1] In addition to interest, it also includes additional costs, like those for financial transactions.

The Truth-in-Lending Act and Regulation Z, which were issued by the Statutory Reserve Board, contain information about the federal definition of a finance charge.

A financing charge in personal finance is just the cash amount paid to borrow money, whereas interest is the amount paid as a percentage, such as the annual percentage rate (APR).

Compared to standard dictionary definitions or accounting definitions, these definitions are more specific.

Lenders and creditors both calculate finance charges in different ways. a majority.

Hence, $699.95×20%=$139.99,  is the finance charge.

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Triagonometric function tan(A+B)/cot(A−B) is tan²A-tan²B/1-tan²Atan²B

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

tan(A+B)/cot(A-B)

tan(A+B)/1/tan(A-B)

(tanA+tanB/1-tanAtanB)/1/(tanA-tanB/1+tanAtanB)

tanA+tanB/1-tanAtanB)×tanA-tanB/1+tanAtanB

We know algebraic identity

(a+b)(a-b)=a²-b²

(tanA+tanB/1-tanAtanB)×(tanA-tanB/1+tanAtanB)

tan²A-tan²B/1-tan²Atan²B

Hence, triagonometric function tan(A+B)/cot(A−B) is tan²A-tan²B/1-tan²Atan²B

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The probability that the student will answer at least7questions correctly then the probability is = [tex]\frac{120}{128}[/tex]

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

A test consists of 10 true/false questions.

If a student guesses on each question

The probability that the student will answer at least7questions correctly.

The probability that the student answers each question correctly is 1/2, and

The probability that the student answers each question correctly is also 1/2

{Bernoalli trail}

Bernoalli trail for at least 7 times,

Probability P =  [tex]C7_{10} (\frac{1}{2}) ^{7} (\frac{1}{2}) ^{7}[/tex]

Using the formula nCr = n!(n−r)!r!

= 10!(10−7)!7!

Subtract  7 from 10.

= 10!(3)!7!

Simplify 10!(3)!7!.

Rewrite 10! as (10⋅9⋅8⋅7!)

= (10⋅9⋅8⋅7! / (3)!7!)

Cancel the common factor of 7!.

Cancel the common factor.

= 10⋅9⋅8⋅7! / (3)!7!

Rewrite the expression.

= 10⋅9⋅8 / (3)!

Multiply 10 by 9.

= 90⋅8 / (3)!

Multiply 90 by 8.

= 720 / (3)!

Expand (3)! to 3⋅2⋅1.

= 720 / 3⋅2⋅1

Multiply 3 by 2.

= 720 / 6⋅1

= 720 / 6

Divide 720 by 6

= 120

So,

We can write,

P = [tex]\frac{120}{2^{7} }[/tex]

P = [tex]\frac{120}{128}[/tex]

Therefore,

The probability that the student will answer at least7questions correctly then the probability is = [tex]\frac{120}{128}[/tex]

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