4. the center of the confidence interval is determined by the and the width of the confidence interval is determined by the . a. margin of error; sample statistic b. population parameter; margin of error c. sample statistic; population parameter d. population parameter; sample statistic e. sample statistic; margin of error

Answer:

15.5 feet

Step-by-step explanation:

12 (each foot have 12 inches) × 8 (two 4-foot pieces of rope) = 96

6 (six pieces of rope) × 15 (each rope have fifteen inches long) = 90

90 + 96 = 186

186 ÷ 12 = 15.5

12 × 15.5 = 186

Patty need 15.5 feet.

1.a) The total revenue received for CD sales was $12,090,000.

1.b) The total revenue received for downloads was $2,499,000.

1.c) The total amount that Craze-K received in royalties last year was $1,240,065.

2) The total royalties that Mr. Pambruccian received last year were $45,210.01.

Commission = 8.5%

                                               CDs         Downloads      Total

Number of items sold     1.86 million      2.1 million

Selling price per unit       $6.50             $1.19

Total sales revenue      $12,090,000   $2,499,000   $14,5898,000

                                  (1.86 m x $6.50)  (2.1 m x $1.19)

Sales commission =      $1,027,650      $212,415        $1,240,065

Royalties = 4%

Selling price per book = $45.99

The total number of books sold = 24,576

The total revenue (sales) = $1,130,250,24 (24,576 x $45.99)

Royalties received = $45,210.01 ($1,130,250.24 x 4%)

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to the nearest whole percent, the percentage yield is 13%.

What is the percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.

The percentage yield of a stock is calculated as follows:

Percentage Yield = (Annual Dividend / Stock Price) x 100%

Substituting the given values, we get:

Percentage Yield = (0.68 / 5.07) x 100% = 13.43%

Hence, to the nearest whole percent, the percentage yield is 13%.

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Answer:

Quintic

Step-by-step explanation:

the degree of a polynomial is determined by the variable with the largest exponent in the expression.

3h³ ← is of degree 3

6 ← is of degree 1

4h² ← is of degree 2

4[tex]h^{5}[/tex] ← is of degree 5

then the degree of the polynomial is 5 , or a Quintic

If the number of degrees of freedom for a chi-square distribution is 81, then the population mean and standard deviation is calculated to be 81 and 12.7279 respectively.

For a chi-square distribution with k degrees of freedom, the population mean and standard deviation are:

Population Mean = k

Population Standard Deviation = √(2k)

Therefore, for a chi-square distribution with 81 degrees of freedom:

Population Mean = k = 81

Population Standard Deviation = √(2k) = √(2×81) = √(162)

Population Mean = 81

Population Standard Deviation = 12.7279 (rounded to four decimal places)

So the population mean is 81 and the population standard deviation is approximately 12.7279.

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Answer:

diameter= 70

circumference= 219.8

Step-by-step explanation:

to find the diameter, es the doble of radius

35×2=

to fine circumference

πd

3.14× diameter

The rate that would result in a single investment doubling in 3 years with annual compound interest can be calculated using the rule of 72.

The rule of 72 states that if you divide 72 by the annual interest rate (as a percentage), you get the approximate number of years it takes for an investment to double in value.

So, to find the annual interest rate that would result in a single investment doubling in 3 years, we need to solve the equation: 72 / r = 3 where the r is the annual interest rate (as a percentage).

Simplifying the equation, we get:

r = 24

Therefore, the annual interest rate that would result in a single investment doubling in 3 years is 24%.

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The solution is A. 3/8. We can calculate it in the following manner.

According to the general equation for conditional probability,

P(A|B) = P(A and B) / P(B)

We are given that P(A|B) = 3/10 and P(B) = 2/5.

We need to find P(A and B) to solve for P(A|B).

Using the formula for conditional probability, we can rearrange the equation as:

P(A and B) = P(A|B) * P(B)

Substituting the given values, we get:

P(A and B) = (3/10) * (2/5) = 6/50 = 3/25

Now, we can find P(A|B) using the first equation:

P(A|B) = P(A and B) / P(B) = (3/25) / (2/5) = (3/25) * (5/2) = 3/10

Therefore, the answer is A. 3/8.

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The numerical value of x rounded to the nearest tenth is 7.5.

The Midsegment Theorem states that the segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side.

Hence:

the smaller segment = half the third side

From the diagram;

The smaller segment = x

The larger third side = 15

Using the Midsegment Theorem

x = half of 15

Solve for x

x = 1/2 × 15

x = 15/2

x = 7.5

Therefore, the value of x is 7.5.

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Answer:

Yes, the graph of y = -2x^2 + 5 is different from the graph of y = -2x^2. Both equations are quadratic functions with a leading coefficient of -2, which means that they have the same shape of a downward-facing parabola.

However, the graph of y = -2x^2 + 5 is shifted upwards by 5 units compared to the graph of y = -2x^2. This means that for any given value of x, the y-value of y = -2x^2 + 5 will be 5 units higher than the y-value of y = -2x^2.

When skiing down a mountain with a vertical height of 1150 feet and a base-to-top distance of 2300 feet, the angle of elevation from the base to the top of the mountain is approximately 26.56 degrees.

When skiing down a mountain with a vertical height of 1150 feet and a base-to-top distance of 2300 feet, the angle of elevation from the base to the top of the mountain is given by tan⁻¹(1150/2300).

How to find the angle of elevation from the base to the top of the mountain?

The angle of elevation of an object from a point is the angle between the horizontal and the line of sight from the observer to the object above the horizontal. We can use the inverse tangent function to calculate this angle of elevation.

Step 1: Find the tangent of the angle of elevation: Let the height of the mountain be h and the distance from the base to the top of the mountain be d. Then tan(θ) = h/d.

Step 2: Inverse tangent of the height and distance of the mountain: Take the inverse tangent of the quotient to find the angle of elevation from the base to the top of the mountain. θ = tan⁻¹(h/d).Here, h = 1150 feet and d = 2300 feet. Substituting these values in the formula θ = tan⁻¹(1150/2300), we can find the angle of elevation from the base to the top of the mountain.θ = tan⁻¹(1150/2300) = 26.56 degrees.

So, the angle of elevation from the base to the top of the mountain is approximately 26.56 degrees.

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The expected value of the sample mean of mpg derived from a random sample of four passengers is 30.5 mpg.

The expected value of the sample mean can be calculated using the formula

E(x) = μ

where x is the sample mean, and μ is the population mean.

In this case, the population mean is given as 30.5 mpg. The standard deviation of the population is also given as 4.1 mpg.

The standard deviation of the sample mean can be calculated using the formula

σx = σ/√n

where σ is the population standard deviation and n is the sample size.

Substituting the given values, we get:

σx = 4.1/√4 = 2.05

So the expected value of the sample mean is

E(x) = μ = 30.5 mpg.

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First, we need to calculate the monthly interest rate by dividing the APR by 12:

11.99% / 12 = 0.9992%

Next, we can use the formula for monthly interest on credit cards, which is:

(balance x monthly interest rate) + (payment - (balance x monthly interest rate)) = new balance

We can solve for the new balance each month, and then use the new balance to calculate the interest for the following month. Here's how it works:

Month 1:

(balance x 0.9992%) + ($350 - (balance x 0.9992%)) = $7,219.17 (new balance)

Month 2:

($7,219.17 x 0.9992%) + ($350 - ($7,219.17 x 0.9992%)) = $6,870.19 (new balance)

Month 3:

($6,870.19 x 0.9992%) + ($350 - ($6,870.19 x 0.9992%)) = $6,516.76 (new balance)

Month 4:

($6,516.76 x 0.9992%) + ($350 - ($6,516.76 x 0.9992%)) = $6,158.68 (new balance)

Month 5:

($6,158.68 x 0.9992%) + ($350 - ($6,158.68 x 0.9992%)) = $5,795.73 (new balance)

Month 6:

($5,795.73 x 0.9992%) + ($350 - ($5,795.73 x 0.9992%)) = $5,427.67 (new balance)

Month 7:

($5,427.67 x 0.9992%) + ($350 - ($5,427.67 x 0.9992%)) = $5,054.24 (new balance)

Month 8:

($5,054.24 x 0.9992%) + ($350 - ($5,054.24 x 0.9992%)) = $4,675.18 (new balance)

Month 9:

($4,675.18 x 0.9992%) + ($350 - ($4,675.18 x 0.9992%)) = $4,290.23 (new balance)

Month 10:

($4,290.23 x 0.9992%) + ($350 - ($4,290.23 x 0.9992%)) = $3,899.12 (new balance)

Month 11:

($3,899.12 x 0.9992%) + ($350 - ($3,899.12 x 0.9992%)) = $3,501.61 (new balance)

At the end of the 11th month, the balance is paid down to $3,501.61, and then at the end of the 12th month, it is paid off completely.

To calculate the total interest paid, we can add up the interest for each month:

$7,568.19 - $7,219.17 = $349.02

$7,219.17 - $6,870.19 = $348.98

$6,870.19 - $6,516.76 = $353.43

$6,516.76 - $6,158.68 = $358.08

$6,158.68 - $5,795.73 = $362.95

$5,795.73 - $5,427.67 = $368

I explained step by step.

Answer:

368

Step-by-step explanation:

Answer:

84.3.

Step-by-step explanation:

To find the range of the given data, we need to subtract the smallest value from the largest value in the set.

The smallest value in the set is 11.2 and the largest value is 95.5. Therefore, the range is:

Range = Largest value - Smallest value

= 95.5 - 11.2

= 84.3

the range of the given data is 84.3.

Based on the sample, the number of people whose favorite snack is cake are 589.

We learn languages ​​to communicate. In the world of mathematics, we express language based on algebraic formulas. Algebraic Expressions Simply put, defining an algebraic expression means combining numbers, letters, and operators to convey instructions or explanations. This is similar to forming sentences as a child learns to express himself in sentences.

Let,

The number of people whose favorite snack is cake = 31x

The number of people whose favorite snack is pretzels = 25x

The number of people whose favorite snack is cookies = 53x

The number of people whose favorite snack is other = 60x

Since the reception is been planned for 3200 people:

31x + 25x + 53x + 60x = 3200

169x = 3200

x = 3200/169

x = 18.93

x ≈ 19

As, The number of people whose favorite snack is cake:

= 31x

= 31 × 19

= 589

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After solving (d + 3)(d² - 4d + 1) by using the FOIL method we get d³ - d² - 11d + 3.

The foil method is a strategy for organising your memory of the steps

needed to multiply two binomials. First, outer, inner, and last are the

letters that make up the acronym F-O-I-L.

To solve the given expression using the FOIL method, you have to follow the below steps:

F: Multiply the First terms (d x d²)

O: Multiply the Outer terms (d x -4d)

I: Multiply the Inner terms (3 x d²) and

L: Multiply the Last terms (3 x 1)

Finally, combine the like terms to get the answer

(d + 3)(d² - 4d + 1)= d(d² - 4d + 1) + 3(d² - 4d + 1)

                           = d³ - 4d² + d + 3d² - 12d + 3

                           = d³ - d² - 11d + 3

Thus, (d + 3)(d² - 4d + 1) equals d³ - d² - 11d + 3.

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Answer:

To find out how much more Joi paid than Adelyn for each fidget popper, we need to know how much Adelyn paid for each fidget popper.

If we assume that Adelyn bought the same set of fidget poppers as Joi at the regular price of $20 without tax, then we can calculate how much Adelyn paid for each fidget popper by dividing the total price by the number of fidget poppers in the set.

Let’s say that there are 10 fidget poppers in the set. Then, Adelyn paid $20 / 10 = $2 per fidget popper.

Joi bought the same set of fidget poppers at the regular price of $20 plus 8% sales tax. To find out how much Joi paid for each fidget popper, we can add the sales tax to the regular price and then divide by the number of fidget poppers in the set.

The sales tax is 8% of $20, which is $1.60. So, Joi paid a total of $20 + $1.60 = $21.60 for the set.

If there are 10 fidget poppers in the set, then Joi paid $21.60 / 10 = $2.16 per fidget popper.

To find out how much more Joi paid than Adelyn for each fidget popper, we can subtract Adelyn’s price per fidget popper from Joi’s price per fidget popper:

$2.16 - $2 = $0.16

Therefore, Joi paid $0.16 more than Adelyn for each fidget popper

Answer:

Nn

Step-by-step explanation:

The 90% confidence interval for bmi is:  (27.998, 28.302)

The correct answer is an option (d) (27.97, 28.33)

We know that the formula for the confidencce interval is,

CI = [tex](\bar{x}\pm z\frac{s}{\sqrt{n} })[/tex]

where, Ci is the confidence interval

[tex]\bar{x}[/tex] is the sample mean

z is the confidence level value

s = sample standard deviation

n = sample size

Here we need to find 90% confidence interval for bmi in a sample of 3,326 adults, the mean bmi was 28.15 and the sample standard deviation was 5.32

n = 3326,  [tex]\bar{x}[/tex]  = 28.15 and σ = 5.32

We know that 1 - α = confidence interval

1 - α = 0.90

so, α = 0.10

α/2 = 0.05

And from the standard normal table [tex]z_{\alpha /2}[/tex] = 1.64

Using above formula of confidence interval,

CI = [tex](28.15 \pm 1.64\frac{5.32}{\sqrt{3326} } )[/tex]

CI = (28.15 ±0.152)

CI = (27.998, 28.302)

Therefore, the correct answer is an option (d) (27.97, 28.33)

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Answer:

y = -2x.

Step-by-step explanation:

The slope-intercept form of the equation of a line is:

y = mx + b

where m is the slope of the line, and b is the y-intercept.

In this case, the slope is -2, and the y-intercept is 0. So we can substitute these values into the slope-intercept form of the equation:

y = (-2)x + 0

Simplifying, we get:

y = -2x

the equation of the line in slope-intercept form is y = -2x.

The range of a set of numbers measures the spread or dispersion of the values in the set, and in the given set of numbers, the range is 4.1.

The range of a set of numbers is the difference between the largest and smallest numbers in the set.

The range can be a useful measure of the variability of a dataset, as it can tell us if the values are tightly clustered or widely spread out. However, the range can be influenced by extreme values, also known as outliers, which can distort the measure.

In the given set of numbers:

9, 6.9, 8.1, 7, 7.9, 7.1, 9, 7.6, 4.9

The largest number is 9, and the smallest number is 4.9.

So, the range is:

9 - 4.9 = 4.1

Therefore, the range of the given set of numbers is 4.1.

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The pοpulatiοn οf bacteria will be apprοximately 104,320 bacteria 1,705 minutes frοm nοw.

Expοnential grοwth is a type οf grοwth in which a quantity increases at a rate prοpοrtiοnal tο its current value.

Tο sοlve the prοblem, we can use the fοrmula fοr expοnential grοwth, which is:

N = N₀ * [tex]2^{(t/d)[/tex]

where:

N₀ = initial pοpulatiοn

N = final pοpulatiοn

t = time elapsed

d = dοubling time

In this case, the dοubling time is 341 minutes. Sο, we can plug in the given values and sοlve fοr N:

[tex]N = 1630 * 2^{(1705/341)[/tex]

N ≈ 104,320

Therefοre, the pοpulatiοn οf bacteria will be apprοximately 104,320 bacteria 1,705 minutes frοm nοw.

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Answer:

O y = 15x + 10 is the only linear function

Hope this helps!!!

The Statements 1,2 and 4 are true about quadratic function. So, the right answer for this problem is options (1), (2) and (4).

Quadratic function is defined as a function whose highest power of exponent is 2.

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Answer:

100

Step-by-step explanation:

its impossable

The new volume of the cylinder is $100$ cubic feet.

Let the original radius and height of the cylinder be $r$ and $h$, respectively. Therefore, the original volume of the cylinder is given by $\pi r^2 h = 100$. After the radius decreases by $10%$ and the height increases by $10%$, the new radius and height become $0.9r$ and $1.1h$, respectively. The new volume of the cylinder can be calculated as $\pi (0.9r)^2 (1.1h) = 0.891\pi r^2 h$. Since $0.891\pi r^2 h = 100$, the new volume of the cylinder is $100$ cubic feet.

Therefore, the new volume of the cylinder is the same as the original volume, i.e., $100$ cubic fee

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Consumer surplus and deadweight loss have decreased due to the price floor of $9.00 set by the government. The correct option is c.

To answer this question, we need to first understand what a price floor is and how it affects the market.

A price floor is a government-imposed minimum price that must be paid for a good or service.

In the context of a market, a price floor that is set above the equilibrium price will create a surplus of the good or service.

This is because the price floor creates a situation where the quantity supplied exceeds the quantity demanded.

Now, let's examine the diagram:

           ^

        | P=$9.00  <- price floor

  S    |  / \

        |  /  \

$10  | /     \

        |/        \

 $8   /           \

         |               \

$6   /|_________\

        |                      \

        |       Qd   Qs   |

        |___________|

                 Q

In this diagram, the price floor is set at $9.00, which is above the equilibrium price of $8.00.

As a result, there is a surplus of the good, with quantity supplied (Qs) exceeding quantity demanded (Qd).

Now, let's consider the impact on consumer surplus, producer surplus, and deadweight loss:

Consumer surplus is the difference between the price consumers are willing to pay and the actual price they pay. In this case, the price consumers are willing to pay is below the price floor, so consumer surplus is reduced. Therefore, option c.) "Consumer surplus and deadweight loss" is the correct answer.

Producer surplus is the difference between the price producers receive and the minimum price they are willing to accept. In this case, the price producers receive is above the equilibrium price, so producer surplus is increased. Therefore, option b.) "Consumer surplus and producer surplus" is incorrect.

Deadweight loss is the loss of economic efficiency that occurs when the quantity of a good that is bought and sold is below or above the equilibrium quantity. In this case, the price floor creates a surplus, which leads to deadweight loss. Therefore, option d.) "Only deadweight loss" is incorrect.

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Consider the diagram below. Which of the variables (consumer surplus, producer surplus, and deadweight loss) have decreased due to the price floor of $9.00 set by the government?

a.) Producer surplus and deadweight loss

b.) Consumer surplus and producer surplus

c.) Consumer surplus and deadweight loss

d.) Only deadweight loss

The recent study says 24% wage gap between nonmetropolitan and metropolitan workers can be attributed to differences in job opportunities, education and skill levels, cost of living, and economic development.

According to a recent study, the median earnings of nonmetropolitan workers in the United States was 24% less than the median earnings of metropolitan workers.

The most likely explanation for this phenomenon can be attributed to several factors.
1. Job opportunities: Metropolitan areas tend to have a higher concentration of job opportunities, particularly in higher-paying industries such as finance, technology, and professional services.

In contrast, nonmetropolitan areas often have fewer job options and may be dominated by lower-paying industries such as agriculture, retail, and hospitality.
2. Education and skill levels: Metropolitan areas generally have a larger pool of highly educated and skilled workers, which can lead to higher salaries.

Nonmetropolitan areas may have lower levels of education and skill among the workforce, which can result in lower earnings.
3. Cost of living: The cost of living is generally higher in metropolitan areas, which can lead to higher salaries to offset these expenses.

In nonmetropolitan areas, the cost of living is typically lower, which can result in lower wages as employers do not need to pay as much to maintain a reasonable standard of living for their workers.
4. Economic development: Metropolitan areas tend to have more robust economies with higher levels of economic development.

This can create a more competitive job market, which can lead to higher salaries for workers. Nonmetropolitan areas often have less economic development, which can result in fewer high-paying jobs and lower wages overall.
In summary, the 24% wage gap between nonmetropolitan and metropolitan workers can be attributed to differences in job opportunities, education and skill levels, cost of living, and economic development.

These factors contribute to the higher median earnings of metropolitan workers compared to their nonmetropolitan counterparts.

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The points that are in the solution set are (-1, -1) and (2, -1).

In order to determine which ordered pairs are valid and true solutions based on the given linear inequalities, we would have to test the given ordered pairs by substituting their values into each of the linear inequality as follows;

For ordered pair (0, 0), we have:

y ≤ -1

0 ≤ -1 (False).

For ordered pair (0, 0), we have:

3x + 4y < 4

3(0) + 4(0) < 4

0 < 4 (True)

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

y ≤ -1

-1 ≤ -1 (True).

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

3x + 4y < 4

3(-1) + 4(-1) < 4

-7 < 4 (True).

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

y ≤ -1

-1 ≤ -1 (True).

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

3x + 4y < 4

3(2) + 4(-1) < 4

-2 < 4 (True).

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

y ≤ -1

2 ≤ -1 (False).

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

3x + 4y < 4

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

-6 + 8 < 4

2 < 4 (True).

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The sequence's eighth partial total, then, is zero.

A series is a collection of things that is in order in mathematics. (or events). Similar to a group, it has individuals. (also called elements, or terms). The total length of the series is the number in ordered components (possibly endless).

The sequence is: 24, -24, 24, -24, ...

To find the 8th partial sum, we need to add the first 8 terms of the sequence.

S8 = 24 + (-24) + 24 + (-24) + 24 + (-24) + 24 + (-24)

Simplifying this expression, we see that every pair of adjacent terms cancels each other out, leaving us with:

S8 = 0 + 0 + 0 + 0

Therefore, the 8th partial sum of the sequence is 0.

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In order to determine the volume of a solid of revolution revolving around an axis that is alternatively the x or y-axis, the technique of cylindrical shells can be employed.

The general steps for doing this are as follows:

First, recognizing the area to revolve and the central axis must take place.

Second, an expression for the distance from the pivotal point to every single point within the region should be established; let us denote this distance as 'r'.

Then, discovering the measurement of each individual cylindrical shell can also be necessary by obtaining the distinction between two separate vertical points within the region; we shall refer to this tallest height identified as 'h.'

Lastly, setting up an integral expression for the volume of every encompassing cylindrical shell can bring forth more specific results.

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The experimental probability of rolling the number 3 is approximately 0.2

Experimental probability is the ratio of the number of times an event occurs to the total number of trials or observations conducted in an experiment or a trial. It is an estimate of the probability of an event based on the actual outcome of a series of trials or experiments.

To find the experimental probability of rolling the number 3, we need to divide the number of times the number 3 occurred by the total number of rolls.

From the table, we can see that the number 3 occurred 45 times. The total number of rolls is

42 + 44 + 45 + 44 + 47 + 46 = 268

So, the experimental probability of rolling the number 3 is

45/268 = 0.168 (rounded to the nearest tenth)

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The given question is incomplete, the complete question is:

A class rolled number cubes. their results are shown in the table. what is the experimental probability of rolling the number 3? round your answer to the nearest tenth.