What is the approximation for 78.8×6.8

OS=D/T

The transformation from the function f(x) = 3x to the function f(x) = 3x - 2 indicates: B. a downward shift of 2 units.

In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.

In Mathematics and Geometry, a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

Since the parent function is f(x) = 3x, g(x) would be created by translating f(x) the parent function two units downward as follows;

f(x) = 3x

f(x) = 3x - 2

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i like chicken nuggets

Answer:

what the heck is this

Step-by-step explanation:

Answer:

6.95 gallon/month

Step-by-step explanation:

you have to divide

put the decimal in the multiplication problem in the exact same point under the line then multiply as normal and you should get 152.6 meaning $152.60

Answer:

11.3x=33(vertically opposite angle)

x=33/3=11

12.117=4x-11(vertically opposite angle)

117+11=4x

x=128/4=32

13.4x-7+x+16=68(given)

5x=68+7-16

5x=59

x=59/5

Answer:

1

Step-by-step explanation:

|13 + 5| – |7 – 10| =1

Answer:

I18I-I-3I

18-3

15

Step-by-step explanation:

It is important to consider the scale of measurement and the specific characteristics of the variables when selecting an appropriate statistical test.The tests can be classified as follows:

1. A researcher measures the proportion of schizophrenic patients born in each season.

This test is nonparametric. The scale of measurement is categorical, as the seasons (spring, summer, fall, winter) represent distinct categories rather than continuous numerical values. Therefore, parametric assumptions, such as normality and equal variances, do not apply to this measurement.

2. A researcher measures the average age that schizophrenia is diagnosed among male and female patients.

This test is parametric. The scale of measurement is continuous and numerical (age in years). Parametric tests, such as t-tests or ANOVA, can be applied when working with continuous data, assuming the data meet the required assumptions (e.g., normality, independence, and equal variances).

3. A researcher tests whether frequency of Internet use and social interaction are independent.

This test can be both parametric or nonparametric, depending on the measurement scale and the specific statistical test used. If the variables are measured on a nominal or ordinal scale, nonparametric tests, such as the chi-square test, would be appropriate. If the variables are measured on a continuous scale, parametric tests, such as logistic regression, could be employed.

4. A researcher measures the amount of time (in seconds) that a group of teenagers uses the Internet for school-related and non-school-related purposes.

This test is parametric. The scale of measurement is continuous (time in seconds), and parametric tests, such as t-tests or ANOVA, can be utilized to compare means or variances, assuming the required assumptions are met.

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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The probability of drawing one paisley tie is 0.43

Three paisley ties and four solid ties are in a dresser. Therefore, the probability if drawing out one paisley tie without looking can be calculated as follows:

The total number of ties is the sum of the paisley ties and solid ties, which is 3 + 4 = 7.

Therefore, the probability of drawing out 1 paisley tie without looking is as follows:

probability of drawing out 1 paisley tie without looking = 3 / 7

probability of drawing out 1 paisley tie without looking = 0.42857142857

Hence , the probability of drawing out one paisley tie without looking is 0.43

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Answer:

Step-by-step explanation:

A). In this case, the five-number summary of the data set would be:

   Minimum: 16

   Q1 (also known as the lower quartile): 22

   Median: 25

   Q3 (also known as the upper quartile): 43

   Maximum: 50

B.) are those the only two box plots listed?

Answer:

k = 14

Step-by-step explanation:

2(k+8) = 44

2*k + 2*8 = 44

2k + 16= 44

2k = 44 - 16

2k = 28

k = 28/2

k = 14

Check:

2(14+8) = 44

2*22 = 44

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

i belive the answer is c because they always try and trick you making you choose the wrong one and all the evidence cites that it could be c!!

Step-by-step explanation:

EXPLANATION

Given that we need to consider the bartering system, we can apply the following reasoning:

10 carrot sticks -----1 apple

1 apple ------- 20 potato chips

(1/2 grab bag) --- 1/2 pudding cup

1 grab bag ---1 pudding cup

Constraint: apples ad pudding cups may not be divided.

Juliana ---->

15 carrot sticks + 1 apple

As 1 apple is equivalent to 1/2 pudding cup, but the pudding cups can not be divided, we need to add a half more fraction in order to get the pudding cup.

Also, as 10 carrot sticks are equivalent to 1/2 pudding cup, we can trade 1 apple and 10 carrot stick for a pudding cup.

In conclusion, she should give 1 apple and 10 carrot sticks in order to get 1 pudding cup.

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

c = -72

Step-by-step explanation:

Subtract 6 from both sides (14 - 6 = 8)

c/-9 = 8

Multiply -9 to both sides to isolate c (8 * -9 = -72)

c = -72

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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By generating 20 samples of size 100 and calculating the proportions of vacationers who enjoy water parks in each sample, we can assess how closely the samples estimate the percent of all vacationers who enjoy water parks.

To estimate how closely the samples of size 100 reflect the percent of all vacationers who enjoy water parks, we can conduct a simulation using technology.

By generating multiple samples and calculating the proportion of vacationers who enjoy water parks in each sample, we can compare the sample proportions with the known population proportion of 60%.

Using a random number generator or statistical software, we generate 20 samples of size 100. For each sample, we calculate the proportion of vacationers who enjoy water parks by dividing the number of vacationers who enjoy water parks by the total sample size.

After obtaining the sample proportions, we can compare them with the known population proportion of 60%. We can calculate the difference between each sample proportion and 60% to measure how closely the samples estimate the true population proportion.

We can then calculate summary statistics, such as the mean, standard deviation, and confidence interval, to assess the overall accuracy and variability of the sample estimates.

For example, if the average of the sample proportions is close to 60% and the standard deviation is relatively small, it indicates that the samples provide accurate estimates of the population proportion.

On the other hand, if the sample proportions vary widely and deviate significantly from 60%, it suggests that the sample estimates may not accurately reflect the population proportion.

By conducting this simulation with 20 samples of size 100, we can evaluate how closely the samples estimate the percent of all vacationers who enjoy water parks and assess the accuracy and variability of the sample estimates.

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Answer:

Option B) 803.84in²

Step-by-step explanation:

We know the formula to find the area of a circle is listed as,

\(A = \pi r^{2}\)

But over here the diameter is only given

that means we have to find the radius which is,

\(r = \frac{32}{2}\)

\(r = 16in\)

Now we can find the area of a circle which is,

\(A = 3.14X(16)^{2}\)

\(A = 803.84in^{2}\)

Hence , Option B) is the correct answer

Answer: 3x (x-2)

Explanation:

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Step-by-step explanation:

a = 7

d = 14-7 = 7

s(50) = n/2*[a+(n-1)*d]

         = 50/2*[7+(50-1)*7]

         = 8750

Given:

The functions are:

\(h(x)=x^2\)

\(k(x)=-\dfrac{1}{7}x^2\)

To find:

The transformation from the graph of h to the graph of k.

Solution:

The transformation is defined as

\(k(x)=ah(x+a)=\)                .... (1)

Where, a is stretch factor

If 0<|a|<1, then the graph compressed vertically by factor |a| and if |a|>1, then the graph stretch vertically by factor |a|.

If \(a<0\), then the graph of h(x) reflected across the x-axis.

We have,

\(h(x)=x^2\)

\(k(x)=-\dfrac{1}{7}x^2\)

It can be written as

\(k(x)=-\dfrac{1}{7}h(x)\)         ...(2)

On comparing (1) and (2), we get

\(a=-\dfrac{1}{7}<0\)

The graph of h(x) reflected across the x-axis.

\(|a|=\dfrac{1}{7}<1\)

So, the graph is compressed vertically.

It means the graph of h reflection over the x-axls and a vertical stretch to get the graph of k.

Therefore, the correct option is B.

Answer:

Biconditional statements do not use the key words 'if' and 'then. ' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if. ' For example, the statement will take this form: (hypothesis) if and only if (conclusion).

Step-by-step explanation:

Answer:

Let the no.be X

when multiplied by 4 = 4X

68-4X=3(X+4)

68-4X=3X+12

collecting like terms together,

7X=56

therefore; X=8

hence ,the number is 8.

Given that,The lateral and surface area for a pyramid with a regular base is:L=½P x SL = ½ l × P × SVolume=⅓BHHere, L = 900 cm², S = ?Given solution is 40 cm 25 cm.

P=Perimeter of the base of the pyramidS=Area of the surface area of the pyramidL=Lateral surface areaB=Area of the base of the pyramidH=Height of the pyramid.B = l²The perimeter of the base,

P = 4lHere, the pyramid has a regular base, and we have the dimension of the base of the pyramid;

therefore, we can find the perimeter of the base.P=4l=4(25)=100 cmFind the slant height of the pyramid using the Pythagorean theorem.s² = l² + h²s² = 25² + h²s² - h² = 625s = √625s = 25 cmNow that we have the slant height, we can find the surface area of the pyramid.

S = ½Pl + Bwhere B = l² = 25² = 625 cm²S = ½(100)(25) + 625S = 1250 + 625S = 1875 cm²Thus, the surface area of the pyramid is 1875 cm².  And we have already found the lateral surface area.L = ½PlL = ½(100)(25)L = 1250 cm²Thus, the lateral surface area of the pyramid is 1250 cm².

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The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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