An artist can create 4 pieces of pottery in 2 hrs. What is the artists unit rate in minutes without units?

The volume of the cone with radius 4 inches and height 6.5 inches is equal to 108.9 cubic inches.

Radius of the cone = 4 inches

height of the cone = 6.5 inches

Let us consider 'r' be the radius of the cone and 'h' be the height of the cone.

Formula to calculate volume of the cone

=(1/3)× πr²h

Substitute the value of radius and height of the cone we have,

⇒ volume of the cone =  (1/3) × π × ( 4 )² × 6.5

⇒ volume of the cone = ( 1/3 ) × π × 16 × 6.5

⇒ volume of the cone = ( 1/3 ) × π × 104

⇒ volume of the cone =  ( 1/3 ) × 3.14 × 104

⇒ volume of the cone =  108.853333

⇒ volume of the cone = 108.9 cubic inches

Therefore, the volume of the cone is equal to 108.9 cubic inches.

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The test statistic, computed using the critical value method of hypothesis testing is 3.68.

The given hypothesis testing can be tested using the critical value method of hypothesis testing.

Here are the steps to compute the test statistic:

Null Hypothesis H0: The accidents are distributed in the given way

Alternative Hypothesis H1: The accidents are not distributed in the given way

Significance level α = 0.01

The distribution is a chi-square distribution with 5 degrees of freedom.α = 0.01;

Degrees of freedom = 5

Critical value of chi-square at α = 0.01 with 5 degrees of freedom is 15.086. (Round to three decimal places)

To calculate the test statistic, we use the formula:

χ2 = ∑((Oi - Ei)2 / Ei)where Oi represents observed frequency and Ei represents expected frequency.

We can calculate the expected frequencies as follows:

Monday = 0.25 × 60 = 15

Tuesday = 0.15 × 60 = 9

Wednesday = 0.15 × 60 = 9

Thursday = 0.15 × 60 = 9

Friday = 0.30 × 60 = 18

Now, we calculate the test statistic by substituting the observed and expected frequencies into the formula:

χ2 = ((18 - 15)2 / 15) + ((10 - 9)2 / 9) + ((9 - 9)2 / 9) + ((10 - 9)2 / 9) + ((23 - 18)2 / 18)

χ2 = (1 / 15) + (1 / 9) + (0 / 9) + (1 / 9) + (25 / 18)

χ2 = 1.066666667 + 1.111111111 + 0 + 0.111111111 + 1.388888889

χ2 = 3.677777778

The calculated test statistic is 3.677777778. The degrees of freedom for the chi-square distribution is 5. The critical value of chi-square at α = 0.01 with 5 degrees of freedom is 15.086. Since the calculated value of test statistic is less than the critical value, we fail to reject the null hypothesis.

Therefore, the conclusion is that we cannot reject the hypothesis that the accidents are distributed as claimed.

Significance level, hypothesis testing, and test statistic were all used to test the claim that workplace accidents are distributed on workdays as follows: Monday 25%, Tuesday: 15%, Wednesday: 15%, Thursday: 15%, and Friday: 30%. In a study of workplace accidents, 18 occurred on a Monday, 10 occurred on a Tuesday, 9 occurred on a Wednesday, 10 occurred on a Thursday, and 23 occurred on a Friday. The test statistic, computed using the critical value method of hypothesis testing is 3.68.

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Probability = option(s) that we want / total number of possibilities

Options that we want = cash or credit card  = 50 + 4 = 54

Total number of possibilities = cash, debit card, credit card = 50 + 2 + 4 = 56

54 / 56 = 0.96

Answer: 0.96

Hope this helps!

Answer:

The answer is C. 119.1

Step-by-step explanation:

The arch measure between Cole St. and Maple St. is 105 degrees which is equal to 7/24 of the circumference. since the diameter is given simply multiply the circumference by 7/24 which equals 285,887/2400. Divide these and you get your answer.

With this query, no effort is necessary. measure the tbsp. of all items.

A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.

1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.

No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.

2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.

No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.

No work is required for this question. It is a simple instruction to add  \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.

4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.

5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.

No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.

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(a)  There are 1296 possible outcomes from rolling an unbiased die 4 times.

When rolling an unbiased die, there are 6 possible outcomes for each roll. Therefore, for 4 rolls, the total number of possible outcomes can be determined by multiplying 6 by itself 4 times (since each roll is independent).

This can be represented using the formula: Total number of outcomes = 6^4 = 1296

(b) There are 0.7716 possible outcomes from rolling an unbiased die 4 times that have exactly two rolls showing a 3.

To determine the number of possible outcomes that have exactly a certain result (e.g. exactly two rolls showing a 3), we can use the binomial coefficient formula.

The binomial coefficient represents the number of ways to choose k items from a set of n items, and is denoted as "n choose k" or written as (n choose k) or C(n,k).

For example, to find the number of ways to get exactly two rolls showing a 3 in four rolls, we would use the following formula:

Number of outcomes with exactly two 3's = (4 choose 2) * (1/6)^2 * (5/6)^2

Where:

- (4 choose 2) represents the number of ways to choose two rolls out of four to show a 3

- (1/6)^2 represents the probability of getting a 3 on two rolls

- (5/6)^2 represents the probability of not getting a 3 on the other two rolls

Evaluating this formula gives:

Number of outcomes with exactly two 3's = (4 choose 2) * (1/6)^2 * (5/6)^2

= (4! / (2! * (4-2)!)) * (1/6)^2 * (5/6)^2

= 6 * (1/36) * (25/36)

= 0.7716

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Answer:

20

Step-by-step explanation:

just divide 600 by 30

20. because 600 divided by 30 is 20.

Answer:

35

Step-by-step explanation:

87.5/100= 0.875*40 = 35

35

Step-by-step explanation:

x/40 = 87.5%

x = 87.5% × 40

x = 35

1) Her weight was 126 ounces.

2) The weight of the watermelon in pounds and ounces 18 pounds and 7 ounces.

3) The weight of the elephant is 0.006 tons.

1) Given, Santiago's sister weighed 7 pounds. 14 ounces when she born.

We want to find this weight in ounces.

We know, 1 pound = 16 ounces

So, 7 pounds = 16×7=112ounces

So, 7 pounds. 14 ounces=112+14=126 ounces

2) Here given,Polly bought a watermelon that weighed 295 ounces.

We want to find What is the weight of the watermelon in pounds and ounces?

So, 295 ounces =\(\frac{295}{16}\)=18 pounds and 7 ounces

3) Given an elephant at the zoo weighs 12.000 pounds.

We know,

1 pound = 0.0005 ton

So, 12.000 pound =12×0.0005=0.006 tons

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Santiago's sister weighed 126 ounces when she was born, The watermelon weighs 18 pounds 7 ounces, The elephant weighs 6 tons.

To convert pounds to ounces, you need to multiply the number of pounds by 16, because there are 16 ounces in one pound. For example, if you have 2 pounds, you would multiply 2 by 16 to get 32 ounces.

Santiago's sister weighed 7 pounds 14 ounces when she was born. To find out how many ounces she weighed in total, we can use the conversion that 1 pound is equal to 16 ounces.

Total weight = 7 pounds x 16 ounces/pound + 14 ounces

Total weight = 112 ounces + 14 ounces

Total weight = 126 ounces

Answer: Santiago's sister weighed 126 ounces when she was born.

Polly bought a watermelon that weighed 295 ounces. To find out the weight of the watermelon in pounds and ounces, we can use the same conversion that 1 pound is equal to 16 ounces.

Weight in pounds = 295 ounces ÷ 16 ounces/pound

Weight in pounds = 18 pounds + 7 ounces

Answer: The watermelon weighs 18 pounds 7 ounces.

An elephant at the zoo weighs 12,000 pounds. To find out how many tons the elephant weighs, we can use the conversion that 1 ton is equal to 2,000 pounds.

Weight in tons = 12,000 pounds ÷ 2,000 pounds/ton

Answer: The elephant weighs 6 tons.

Therefore, Santiago's sister weighed 126 ounces when she was born, The watermelon weighs 18 pounds 7 ounces, The elephant weighs 6 tons.

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The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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Answer: y=8x-2

Step-by-step explanation

Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2

Answer:

Step-by-step explanation:

y=8x-2

Answer:

\( \boxed{\sf n = 2m - 8} \)

Step-by-step explanation:

Solve for n:

⇒2m - n = 8

Subtract 2 m from both sides:

⇒2m - 2m - n = 8 - 2m

2m - 2m = 0:

⇒-n = 8 - 2 m

Multiply both sides by -1:

⇒-n × (-1) = (8 - 2m) × (-1)

⇒n = 2m - 8

The required value of n is equal to n = 2m - 8.

An expression is given in the question ; i.e., 2m - n = 8.

We have to find the value of the 'n' .

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

The given expression is 2m - n = 8.

Let's solve it to get the value of n.

The value of n can be find out , if we bring n to the left side of equal sign and 8 to the right of equal sign.

So ,

2m - n = 8 can be written as ;

2m = 8 + n

or

n = 2m - 8

Thus , the required value of n is equal to n = 2m - 8.

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Answer:

194.51

Step-by-step explanation:

Find 6% of 183.50

183.50 * 6%

183.50 * .06

11.01

Add this to the original price

183.50+11.01

194.51

These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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Answer:

X= 9 over 8 or 9/8

Step-by-step explanation:

hopefully this helps

Answer:

9/8 or 1.125 or 1 1/8

Step-by-step explanation:

To keep up with the inflation, Mario would have to earn $91,175.98 in 2014. To get the answer, follow these steps:Let's first find the inflation rate between 2011 and 2014.

Using the CPI formula, we get the inflation rate as follows:Inflation rate = [(CPI in 2014 - CPI in 2011)/CPI in 2011] x 100Inflation rate = [(125.2 - 119.9)/119.9] x 100Inflation rate = (5.3/119.9) x 100Inflation rate = 4.42%Since Mario needs to keep up with the inflation, he should earn an amount that is increased by 4.42%. Therefore, we need to calculate what amount Mario should have earned in 2014 to keep up with the inflation:Amount in 2014 = Amount in 2011 x (1 + Inflation rate)Amount in 2014 = $88,000 x (1 + 0.0442)Amount in 2014 = $88,000 x 1.0442Amount in 2014 = $91,175.98 (rounded to the nearest cent)Therefore, Mario would have to earn $91,175.98 in 2014 just to keep up with inflation.

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Mario earned $88,000 in 2011. If the Consumer Price Index in 2011 was 119.9 and in 2014 it was 125.2, what did Mario have to earn in 2014 just to keep up with inflation?To calculate the inflation rate from 2011 to 2014, we will use the following formula:Inflation rate = ((CPI in 2014 - CPI in 2011) / CPI in 2011)) * 100Substituting the values, we get,

Inflation rate = ((125.2 - 119.9) / 119.9) * 100 = 4.43%Therefore, to maintain the same purchasing power, Mario needs to earn 4.43% more in 2014 than he earned in 2011.Using the following formula, we will calculate how much Mario has to earn in 2014.

Earnings in 2014 = Earnings in 2011 + (Inflation rate × Earnings in 2011)Earnings in 2014 = $88,000 + (4.43% × $88,000)Earnings in 2014 = $91,846.40Therefore, Mario would have to earn $91,846.40 in 2014 just to keep up with inflation.Answer: $91,846.40

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The given statement after evaluating and considering the other options is false. Due to the criteria it falls under elaborates the  case of statistically significant change is to be present while comparing the math scores  between the two groups, In short there will always be difference between two group s while we compare them on a particular topic .

From here on we can come to the conclusion that the difference was not due to chance occurrence.

A statistically significant change  refers to process which is  unlikely to be elaborated solely by chance and random factors.

In short, a statistically significant  has a very less chances  of taking place if there is no true effect in a research study.

The famous examples of statistical significance of finding are

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Answer:

However, the CollegeBoard does not recommend that students use a four-function calculator on the exam as these do not have all the functions that you may need on the SAT, such as exponents, logarithms, and others.

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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The statement is false. When an economy shrinks at a constant annual rate, the cumulative decline over multiple years is not simply the sum of the annual rates of decline.

To calculate the cumulative decline over the four-year period, we need to use the concept of compound growth/decline.

If the economy shrinks at a rate of 10% per year for four consecutive years, the actual cumulative decline can be calculated as follows:

Cumulative decline = (1 - Rate of decline) ^ Number of years

In this case, the rate of decline is 10% or 0.1, and the number of years is 4.

Cumulative decline = (1 - 0.1) ^ 4

Cumulative decline = 0.9 ^ 4

Cumulative decline = 0.6561

So, the economy would actually shrink by approximately 65.61% over the four-year period, not 40%.

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Using Normal Distribution, the safety stock for a 95% service level is 209 units, and the reorder point is 2588 units.

To calculate the safety stock and reorder point, we need to use the following formulas:

Safety stock = z × σ × √(L)

Reorder point = d × L + SS

Where:

z = Z-score corresponding to the desired service level (95%)

σ = Standard deviation of daily demand

L = Lead time in days

d = Average daily demand

SS = Safety stock

We are given that the average daily demand is 250 units and the standard deviation of daily demand is 40 units. The lead time has an average of 10 days and a standard deviation of 3 days.

First, we need to find the Z-score for a 95% service level, which corresponds to 1.65.

Next, we can calculate the safety stock using the formula:

Safety stock = 1.65 × 40 × √(10) = 208.8 units (rounded to the nearest tenth)

Finally, we can calculate the reorder point using the formula:

Reorder point = 250 × 10 + 208.8 = 2588 units (rounded to the nearest whole number)

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Answer: D. The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.

Step-by-step explanation: Because it is a linear function it needs to fluctuate so by using process of elimination D is the only answer that would look like a linear function by having that curved line we are looking for in a function.

You must count the instances of each rule and the instances of each item in each rule separately using the data in the Excel file in order to determine the support, confidence, and lift of a rule.

Open the Excel file and look for the information on the options ordered for the specific model of car. This information will probably be presented as a table or a group of columns, where each row represents a distinct order and each column a different choice.

You must count the instances of the rule's components occurring together in the data in order to calculate the support for a rule. You would need to track how frequently the fastest engine choice and the traction control option are selected together, for instance, if the rule is "If the quickest engine, then traction control." This can be accomplished by counting the number of cells in a range that satisfy a specific condition using Excel's COUNTIF function.

The confidence in a rule is calculated by dividing the total number of times the items in the premise (the "if" component of the rule) occur by the total number of times the items in the rule. The number of times the fastest engine and traction control options are selected together must be divided by the total number of times the fastest engine option is ordered, for instance, if the rule is "If the fastest engine, then traction control."

You must divide the rule's confidence by the support of the item in the rule's conclusion to determine the lift of a rule (the "then" part of the rule). You would need to divide the rule's confidence by the support for the traction control option, for instance, if the rule is "If the quickest engine, then traction control."

To calculate the support, confidence, and lift for each of the rules, you can use the Excel formulas indicated above together with any other Excel functions or tools you are familiar with.

It is crucial to keep in mind that the precise formulas and processes you will need to follow will depend on the exact data and rules you are working with, so you might need to modify the following instructions to suit your personal needs.

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Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

The tenths has 3, the hundredths has 6, and the thousandths has 2. The hundredth is greater than 5, so we have to round the tenths up by 1, making it 0.4

The simplified expression for each problems after rationalizing the denominator are:

Let's work on each problems we have:

1. \(\frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} }\)

The denominator should be rationalized by its conjugate: \(\frac{\sqrt{x} -\sqrt{y} }{\sqrt{x} -\sqrt{y} }\)

The simplified expression would be:

\(\frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} } = \frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} } .\frac{\sqrt{x} -\sqrt{y} }{\sqrt{x} -\sqrt{y} }\)

\(\frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} } = \frac{2(x)-2\sqrt{xy}-3\sqrt{xy}+3(y)}{x-y}\)

\(\frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} } =\frac{2x-5\sqrt{xy}+3y}{x-y}\)

2. \(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} }\)

The denominator should be rationalized by its conjugate: \(\frac{4\sqrt{6}+3\sqrt{2}}{4\sqrt{6}+3\sqrt{2} }\)

The simplified expression would be:

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } =\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } .\frac{4\sqrt{6}+3\sqrt{2}}{4\sqrt{6}+3\sqrt{2} }\)

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } = \frac{12(6)+9\sqrt{12}+20\sqrt{12}+15(2)}{16(6)-9(2)}\)

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } =\frac{72+29\sqrt{12}+30 }{96-18}\)

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } = \frac{102+58\sqrt{3}}{78}\)

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } =\frac{51+29\sqrt{3}}{39}\)

3. \(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2}\)

The denominator should be rationalized by its conjugate: \(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}-2}\)

he simplified expression would be:

\(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} =\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} .\frac{\sqrt{a+1}-2 }{\sqrt{a+1}-2}\)

\(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} =\frac{(a+1)-2(2)(\sqrt{a+1})+4 }{(a+1)-4}\)

\(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} =\frac{a+1-4\sqrt{a+1}+4 }{a-3}\)

\(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} =\frac{a+5-4\sqrt{a+1} }{a-3}\)

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Answer:

Owwwww would be a good time

No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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