Given the number of rows and the number of columns, write nested loops to print a rectangle.

When there was a large variance for a sample of difference scores in a repeated-measures t-test, then there is probably not a significant difference between treatment groups and the participant's scores would be predictable.

In a repeated measures t-test, the test statistic is given by

[tex]t = \frac{d}{s_{d} / \sqrt{n} }[/tex]

Since [tex]s_{d}[/tex] = the standard deviation of difference scores is large occurs in the denominator of the test statistic.

Thus, there probably is not a significant difference between treatment groups and the participant's scores would be predictable.

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The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π[tex]r^2[/tex]h = 1000

h = 1000 / π[tex]r^2[/tex]

The surface area of the cylinder

A = 2π[tex]r^2[/tex] + 2πrh

A = 2π[tex]r^2[/tex] + 2πr(1000 / π[tex]r^2[/tex] )

A = 2π ( [tex]r^2[/tex] + 1000 / π[tex]r^2[/tex])

Differentiate the terms

A' =  2π (2r + 1000 / π[tex]r^3[/tex])

When the minimum surface area

2π (2r + 1000 / π[tex]r^3[/tex]) = 0

r = [tex](1000/2\pi )^\frac{1}{3}[/tex]

r = 5.41 cm

Then,

h =  1000 / π[tex]r^2[/tex]

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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The company fails to reject H0, making a Type II error. So the option B is correct.

In the given question,

Mars candy company is testing one of its machines in the factory to make sure it is producing more than 98% high-quality candy (H0: p = 0.98; Ha: p > 0.98; α = 0.05).

The test results in a p-value of 0.15.

However, the company is unaware that it is actually producing 99% high-quality candy.

We have to find MOST likely happens as a result of the testing.

The given options are:

A. The company rejects H0, making a Type I error.

B. The company fails to reject H0, making a Type II error.

C. The company rejects H0, making a Type II error.

D. The company fails to reject H0, making a Type I error.

E. The company rejects H0 correctly.

The company will not be rejecting the null hypothesis when it should have been, given the P-value is approaching 0.05.

Hence, the business commits a Type II error by failing to reject H0.

So the option B is correct.

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The solution to the given system of equations y=-3x-2 and 5x+2y=15  is given by the coordinates as [tex](-19,55)[/tex]

What is a System Of Equations ?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Define Subsitution Method .

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Define Elimination Method.

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

The solution to the system of equations y = -3x - 2 and 5x + 2y = 15

Given:

[tex]y=-3x-2[/tex]       - (1)

[tex]5x+2y=15[/tex]       - (2)

Here we are using substitution method to proceed with the given problem ,

So,

⇒[tex]5x+2(-3x-2)=15[/tex]

⇒[tex]5x-6x-4=15[/tex]

By further calculation

⇒[tex]-x=15+4[/tex]

⇒[tex]x=-19[/tex]

Substituting x value in (1)

⇒[tex]y=(-3)(-19)-2[/tex]

By further calculation

⇒[tex]y=57-2[/tex]

⇒[tex]y=55[/tex]

Therefore, the solution is [tex](-19,55)[/tex].

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The interest rate that would be earned each month on the amount invested is 0.47%.

When the money invested in an account earns a compound interest, it means that both the amount invested and the interest that has already being earned increases 12 times in a year. When an investment earns at a compound interest, it grows exponentially.

The formula that can be used to determine the interest rate is :

Interest rate = [(future value / amount invested)^(1/n)] - 1

Where n is the number of periods

Number of periods = number of years x compounding period

Number of periods = 13 x 12 = 156

Number of periods = [(6200 / 3000)^(1/156) ] - 1 = 0.47%

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The point estimator for the difference between two populations proportion in favor of this product is 0.09.

In the given question, the results of a recent poll on the preference of shoppers regarding two products are shown below.

Product             Shoppers Surveyed        Shoppers Favoring this Product               a                                       800                                          560

b                                       900                                          549

We have to find the point estimate for the difference between the two population proportions in favor of this product.

n(1)=800, x(1)=560

n(2)=900, x(2)=549

P(1)=x(1)/n(1)

P(1)=0.7

P(2)=x(2)/n(2)

P(2)=0.61

The point estimator for the difference between two populations proportion in favor of this product is

P(1) - P(2)=0.7-0.61

P(1) - P(2)=0.09

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The Perimeter of the Pentagon is 15 cm

A pentagon is a geometrical shape, which has five sides and five angles

The equation P=5s represents the perimeter P of a regular pentagon with side length s.

We are to find the perimeter of a regular pentagon with side length of 3 cm.

To find it, put s = 3 cm in the given equation.

P = 5(3) cm

P = 15 cm

Hence, the perimeter of the regular pentagon of side length 3 cm is 15 cm.

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The perimeter of a regular pentagon with side length of 3 cm is 15 cm.

A pentagon is a polygon with 5 sides. A regular pentagon is a pentagon with all sides and angles equal to each other.

The Equation P = 5s represents the perimeter P of a regular pentagon with side length s.

The perimeter of a regular pentagon with side length of 3 centimetres can be calculated as follows:
P = 5s

where

Therefore,

P = 5(3)

Perimeter of the regular pentagon = 15 cm.

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Answer:

-1 + 73 =72

-2 + 74 = 72

-3 + 75 = 72

Boxes used in one month is 221/8 as fraction.

What is mixed fraction?

A fraction portrayed with its quotient and remainder may be a mixed fraction. as an example, two 1/3 may be a mixed fraction, wherever two is that the quotient, one is that the remainder. So, a mixed fraction may be a combination of a full range and a correct fraction.

Main body:

Initial boxes with kevin = 55 1/4

converting mixed fraction in simple fraction = 55[tex]\frac{1}{4}[/tex]

= 221/4

Total boxes left = 27[tex]\frac{5}{8}[/tex]

converting it ,

=27 [tex]\frac{5}{8}[/tex] = (27*8+5)/8

=221/8

Total boxes used = 221/4 - 221/8

taking L.C.M , we get

=442-221/8

= 221/8

Hence total boxes used = 221/8

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The translation rule, T₋₃,₅ (x,y) for a given triangle on the coordinate plane can be written as

(x, y) → (x – 3, y + 5)

that is x-coordinate shifts to left on x-axis and y-coordinate shifts upward on y-axis. So, the correct option is option ( A).

Translation:

Figure translation is horizontal, vertical, or both movement of the graph or figure. Figures can be moved left, right, up, or down.

Steps to Perform a Translation on the Coordinate Plane are :

We have given that

A triangle say ABC is translated on coordinate plane according to following rule, T₋₃,₅ (x, y)

Another way to wright this is explained below. As we know that translation is represented

Tₕ,ₖ(x,y) = (x+h, y+k) which implies that x coordinate shifts to left h point and new coordinate is x+h.

Similarly, new y corrdinate will be y+k

Now, for our point ,

T₋₃,₅ (x,y) ---shifted---> ( x-3 , y+5)

=> (x, y) → (x – 3, y + 5)

Hence , the coordinates of new trangle say A'B'C' which is translation of triangle ABC with coordinates (x,y) are ( x-3 , y+5).

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The correct answer is median.

The salary of 35 year olds would vary greatly, with significant variations. Undoubtedly, this type of data contains outliers. Because median is unaffected by outliers in the data set, it would be appropriate for the data that included outliers.

The observations are divided into two equal portions by the median. When observations are organised in order of magnitude, it reflects the middle value for the group of observations.

When data are input in ascending order, the median value is the middle value. In other words, the observation is in the middle.

If there are an even number of observations overall, the median is calculated as the average of the middle two observations.

The median is the middle observation in the arranged data if the total number of observations is an odd number.

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The congruent postulate in which two corresponding angles and non-Included side of the two triangles are congruent is AAS. AAS is an abbreviation of angle angle side postulate.

Triangles are said to be congruent if they are of  identical sides and angles. The three sides of first triangle are exactly equal in measure to the three sides of second triangle. The three angles of first are each the same angle as the second triangle.

Triangles are said to be congruent when all corresponding sides and interior angles are congruent. The triangles will have same shape and size, but the first triangle may be a mirror image of the other triangle.  

The definition of Angle Angle Side Theorem also states that-

If two angles and the non-included side of first triangle are congruent to the corresponding parts of second triangle, then the  triangles are said to be congruent.

Other theorems which triangles follow are Side Angle Side, Side Side Angle, Angle Side Side, Side Side Side, Angle Angle Angle etc.

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To test if there is a difference in two population means, a difference in sample mean should be used  , the correct option is (b) .

In the question ,

we have to find the what is used to test whether their is a difference in two population means or not .

For each hypothesis problem, there is test statistic .

This test statistic is compared to the critical value to make the decision about the hypothesis.

Hence choosing the appropriate test statistics matters a lot.

Here two samples are there. It is clearly given for which we have to test the hypothesis that is sample means .

Hence,  we can say that the test statistic is, the difference in sample mean .

Therefore , the difference in sample mean is used to test if there is a difference in two population means .

The given question is incomplete , the complete question is

To test if there is a difference in two population means, a ___ should be used.

(a) alpha

(b) the difference in sample means

(c) the degrees of freedom

(d) the difference in the population means

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The answer to the given question is nominal and ordinal measurements. These two type measurements are used to group respondents or objects into groups or categories and also considered as categorical measures.

Nominal measurement is the least accurate and informative, because it only names the characteristic or identity which we are interested. In nominal variables, the numerical values just "name" the attribute differently. Thus, numerical value is simply a label.

Ordinal measurement reports the ranking and ordering of the data without chartering the degree of variation. Ordinal measurement includes statistical data type in which variables are in order or rank but without a degree of difference between categories. The ordinal measurement includes qualitative data. This measurement places variables in order or rank, and only allowing to measure the value as higher or lower in measurement.

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Bivariate table is that which shows the relationship between two variables. The rule of thumb... if the table is scaled down by percentage, read the whole thing. If the table is percentages, read it down.

Bivariate table:

A table that depicts the relationship between two variables by showing the distribution of one variable over the categories of a second variable.

Bivariate Table Primary Purpose:

A bivariate table shows the distribution of one variable over the categories of another variable.

Finally, we mentioned that univariate data can be displayed in many different ways, such as bar charts and box plots. Bivariate data, on the other hand, are usually displayed in scatter plot.

Rule of thumb:

Bivariate analysis results can be represented in form of a two-column data table.

A rule of thumb when reading spreadsheets created by others is then spreadsheet is percentage down, read the whole thing. If the table is percentages, read it down.

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The true statement regarding statistical plan is Transaction-based plans better support the business need for data

The term statistical plan refers to the document that a statistical organization uses to specify the data items that must be provided to the organization as well as the format in which the data must be reported.

The statistical analysis plan SAP includes information on the scope, population definitions, and methodology of planned analyses. The SAP should be built before any such data analysis because it is essential for directing them.

Hence The statement that transaction-based plans better meet the business demand for data is true with relation to statistical plans.

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The array formulas are (r³ - 3) × 1 = 24, (r² + 3) × 2 = 24, (r² - 1 ) × 3 = 24, (r² - 3 ) × 4 = 24, (r) × 8 = 24, (r - 1 ) × 12 = 24, and (r - 2) × 12 = 24 where, r = 3.

The array can be taken as rows.

If we take the first side as the length denoted by L and the second side as the width indicated by W.

Then the area can be given as;

Area = length * width

Area = L * W

The total area of the quilt is 24 squares which can be obtained as;

24 × 1 = 24

All squares are arranged in a single row.

(r³ - 3) × 1 = 24

12 × 2 = 24

12 squares arranged in 2 rows.

(r² + 3) × 2 = 24

8 × 3 = 24

8 squares arranged in 3 rows.

(r² - 1 ) × 3 = 24

6 × 4 = 24

6 squares arranged in 4 rows.

(r² - 3 ) × 4 = 24

3 × 8 = 24

3 squares arranged in 8 rows.

(r) × 8 = 24

2 × 12 = 24

2 squares arranged in 12 rows.

(r - 1 ) × 12 = 24

1 × 24 = 24

1 square arranged in 24 rows.

(r - 2) × 12 = 24

In all of the above r = 3.

Thus, the array formulas are (r³ - 3) × 1 = 24, (r² + 3) × 2 = 24, (r² - 1 ) × 3 = 24, (r² - 3 ) × 4 = 24, (r) × 8 = 24, (r - 1 ) × 12 = 24, and (r - 2) × 12 = 24 where, r = 3.

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40 x 7 = _________ x 10 x 7

280 = ? x 70

280 = 4 x 70

check: 280 = 280

4 goes in the blank

Answer:

4

Step-by-step explanation:

40×7=280

10×7=70

280:70=4

The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 when we can just write the table of 3 all terms.

Given that,

We have to find the 10 multiples of 3.

We know that,

We can find the multiples of a number by counting the digits. A multiple in mathematics refers to the outcome or output of multiplying two numbers together.

The Least Common Multiple is the smallest common multiple of two or more numbers (Least Common Multiple).

The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

Therefore, The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 when we can just write the table of 3 all terms.

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Inequality is use when we are not sure about the exact date of a given sample.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

For example:

If the cost of a Jersy = $40

Cost of Hat = $15

The softball team has a total of $1,200 to spend.

Let x equal the number of jerseys the team orders and y equal the number of hats the team orders.

So the total money will be spent within the budget will be

40*x + 15*y ≤ $1200

Hence, the inequality model will be 40*x + 15*y ≤ $1200.

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This circular swimming pool has 4595  ft³ of water in it.

According to what is said, the depth grows linearly from 2 feet at the south end to 7 feet at the north end and remains constant along east-west lines.

The given data in the question-

Diameter of  circular swimming Pool; d = 30 ft

Radius r = d/2 = 30/2 = 15 ft

The average depth is given as;

avg (h) = (4 + 9)/2

avg (h) = 6.5 ft

Formula for circular area is;

A = πr²

Put the values;

A = π × 15²

A = 225π

Formula for circular volume is;

Volume = Area × depth

Volume = 225π × 6.5

Volume = 4594.57 ft³

Rounding to a whole number;

Volume =  4595 ft³

Thus, this circular swimming pool has 4595  ft³ of water in it.

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After 33 minutes the diver reenter the water for a dive to 50 feet for 38 minutes.

What is eRDPML?

The Electronic Recreational Dive Planner Multi Level, or simply eRDPml, is a novel programme created by PADI to help you correctly plan your dives. FOR MANY. An electronic version of the PADI dive tables may be more convenient for certain divers than having to recall how to use them.

If a diver exits the water at 1:30 pm after a 35-minute dive to 19 metres utilising the eRDPML, he will be in pressure group P.

At 2:20 PM, he returns to the ocean. His surface interval is 50 minutes, according to this. A diver in pressure group P switches to pressure group G after 50 minutes.

He will then be in pressure group S if he stays at 17 metres for another 25 minutes. Go to the Surface Interval Mode to find out how long must be spent above the surface before the third dive.

After the second dive, join the pressure group S and start the third dive at a depth of -15 metres for 38 minutes.

33 minutes are determined to be the necessary surface interval. A 33 minute surface interval after the second dive places the diver in pressure group K before the third dive, completing the dive profile.

Hence, after 33 minutes the diver reenter the water for a dive to 50 feet for 38 minutes.

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You already got 4.2 averaged from 120 reviews. To get a 4.5 average, you need more 72 reviews with 5 ratings.

This problem can solved using average value approach.

Average value can be calculated using:

Average = sum of data value / number of data

Let p = number of required 5 ratings to get a 4.5 average.

Then,

sum of data value = 120 x 4.2 + p x 5

number of data = 120 + p

Hence,

Average = (120 x 4.2 + p x 5) / (120 + p)

4.5 = (504 + 5p) / (120 + p)

540 + 4.5p = 504 + 5p

0.5 p = 36

p = 72

Hence, you need 72 reviews with 5 ratings.

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The MS error in the variance is 5.867 using ANOVA

What is Analysis of Variances(ANOVA )?

ANOVA is a statistical method for determining if the effects of different independent variables on a given dependent variable differ or correlate. ANOVA can be used in finance in a variety of ways, such as to forecast price changes in securities by first identifying the variables that affect stock variations. This study can be a useful tool for understanding how a securities or market index will behave in certain scenarios.

Treatment = k-1=2 The degree of freedom

N-k=30-3=27 for the error degrees of freedom

N-1 = 29 degrees of freedom in total.

MS Therapy = (SS Therapy /df Therapy)

82.4/2 = 41.2

MS error = (SS error/df error)

158.4/27 = 5.867

Hence the MS error in the variance is 5.867

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Strawberries, apples, cherries, spinach, nectarines, and grape samples were positive for residues of two or more pesticides in more than 90% of the cases. The most pesticides were found in kale, collard, mustard greens, spicy peppers, and bell peppers totaling 103 and 101 pesticides, respectively.

According to the Environmental Working Group's 2022 Shoppers Guide to Pesticides in Vegetables, strawberries and spinach continue to have the highest pesticide levels of any product categories.

According to the EWG, more than 70% of non-organic vegetables contained pesticide residue. Nearly all the produce had pesticide residue levels below limits set by U.S. regulators.

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The solution of the given equations y=1.5x-4 and y=-4 is given by the coordinates (x,y) as (0, -4)

Illustrate System Of  Equations.

A system of equations is two or more equations that contain the same variables. A solutions to a system of equations are the point where the lines intersect. There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

[tex]y=1.5x-4 , y=-4[/tex]

Substitute the value of y as - 4

-4=1.5x-4

Solving for x, by transposing the terms we get

1.5x = - 4 + 4

1.5x = 0

x = 0

Therefore, the solution is (0, -4).

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The relationship that represents the given function is y = 0.6x + 208 and the graph is attached below.

The water level rises at the rate of 0.6 cm/min .

After 20 minutes the water level is 220 cm

let the initial water level be a.

∴ 220 = a + 0.6×20

or, 220 = a + 12

or, a = 208 cm

therefore the initial water level is at 208 cm.

Now we will find the relationship.

Let the water level is y and the level rises at the rate of 0.6 cm /min .

The require function will be :

y = 0.6x + 208

The graph of the function is attached .

The set of all pairings (x, f (x)) that singularly represent a function is known as the graph of both the function, which is a common technique for illuminating the function.

When the domain and/or the codomain are sets of real values, each such pair can be thought of as the Cartesian coordinates of a point in the plane.

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3750 tons of SO₂ are produced for one million tons of coal burned.

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We can reject the null hypothesis at the 0.05 level and accept the alternative hypothesis.

A one-sided test will test using the full alpha to test whether the result is far enough in one direction. A two-sided test will split the alpha in half to test whether the result is too big or too small.

The null hypothesis is:

[tex]\mathit{H}_{0}: \mu= 2.5[/tex]

The alternative hypothesis is:

[tex]\mathit{H}_{1}: \mu > 2.5[/tex]

The z-score for a mean of 3 is:

[tex]z = (x- \mu)/ (\sigma/ \sqrt{n})) \\ = (3-2.5)/(1.8/\sqrt{n})) \\ = (.5)/(1.8/6)) \\ = (.5)/(.3)) \\ = 1.666666667[/tex]

The z-score for the 0.05 significance level is 1.645, which is less than the mean of 3 z score of 1.67.

Hence, we can go ahead and reject the null hypothesis

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Using its formula, it is found that Val's margin of error is 9.8 pounds.

What is the margin of error?

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.

The margin of error formula:

The margin of error is given by the following equation:

M = 1.96(s/√n)

Where,

s is the standard deviation.

n is the sample size.

Here, we have

Given

The standard deviation is 50, hence s = 50

Val weighed 100 cows, hence n = 100

By applying the margin of error formula and we get

M = 1.96(50/√100)

M = 1.96(50/10)

M = 9.8

Hence, Using its formula, it is found that Val's margin of error is 9.8 pounds.

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