22. Pamela is making the legs for a three-legged stool from two pieces of scrap wood. The lengths of the two pieces of wood are 36 inches and 21 inches. Each leg is 16 inches long. a. Pamela cuts one leg from each piece of wood. Write and evaluate two expressions to show how much of each piece of wood is left over. b. Will Pamela have enough wood for a third leg? Explain.​

Answer:

Step-by-step explanation:

Please mark brainly if you like my answer

The formula for converting from fahrenheit to celsius is given as

F = 9/5C + 32

Where

C represents Celsius

F represents Fahrenheit

If C = 35, then the temperature in fahrenheit is

F = 9/5 * 35 + 32

F = 63 + 32

F = 95

The correct option is 95

The confidence interval for the difference in average lifespan between the two groups of children (-43, 9) years includes 0, which means that we cannot conclude with confidence that there is a significant difference between the two groups.

Since the confidence interval includes negative values, we cannot even conclude that the garlic pills were beneficial in prolonging the life of the children. It is possible that the garlic pills had no effect or even a harmful effect on the lifespan of the children.

Therefore, based on this information, we cannot conclude that garlic pills are effective in prolonging the life of children with deliops disease. Further research would be needed to determine whether garlic pills have any beneficial effects on the lifespan of these children.

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Answer:

20 hours

Step-by-step explanation:

Answer:

The lie is #3.

Step-by-step explanation:

1 divided by 7^-3 is not equal to 7^-3. 7^-3/1 is equal to 7^-3 though.

Equation of line in slope-intercept form is 3y-2x= -1.

Hence, Equation of line in slope-intercept form is 3y-2x= -1.

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Answer:

6/12 or 1/2 which is 0.5

Step-by-step explanation:

I hope this is right, because I'm doing this stuff as well in class.

Slope is always rise over run. It is rising by 6 and it is running (going across) by 12. This fraction (6/12) can be simpiled to 1/2 and that can be narrowed down to 0.5.

Hope this is clear and correct.

We are given that

In right triangle ABC, if angle A is 90 degrees, angle C is 34 degrees, and AC is 71.4, find BC.

Solution

We will first draw a diagram to illustrate the information

Above we want to find x

The method to use is SOHCAH

From the right angle triangle above we have above, we have the adjacent side and we want to find the hypotenus, so we use cosine

i.e

We need to solve for x here

Thus, |BC| = 86.1 (to the nearest tenth

Answer:

Answer: 40 small cups sold and 30 large cups sold.

Answer:

The data points in Set 1 are more spread out than the points in set 2

he mean than the points in Set 2 because the mean absolute deviation is Larger

Step-by-step explanation:

The mean absolute deviations for two sets of data are shown.

A 2-column table with 2 rows. Column 1 is labeled Set with entries 1, 2. Column 2 is labeled M A D with entries 8.4, 0.2.

The data points in Set 1 are more_____

the mean than the points in Set 2 because the mean absolute deviation is_____

By organizing countless data points into comprehensible ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an understandable visual. So Histograms based on data on housing, prices and salaries typically are skewed to the right.

A histogram in statistics is a graphic depiction of the data distribution. The histogram is shown as a collection of rectangles that are next to one another, where each bar represents a different type of data.

A branch of mathematics called statistics is used in many different fields. Frequency is the term for how often numbers appear in statistical data; it can be shown as a table and is known as a frequency distribution.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis.

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In this game, the pure best response equilibria (BNE) are when Anna bids 200 and Brian bids 100, or when Anna bids 100 and Brian bids 200. These equilibria occur because both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

(a) The normal form of the game can be represented in a payoff matrix where the rows represent Anna's strategies (bids) and the columns represent Brian's strategies (bids):

scss

Copy code

            Brian

         |   100   |   200   |

-------------------------------

 100 |  (300, 0) | (300, 0) |

-------------------------------

 200 | (0, 100)  | (0, 200) |

-------------------------------

In each cell, the first number represents Anna's payoff, and the second number represents Brian's payoff.

(b) To find all pure best response equilibria (BNE), we need to examine each player's strategy and determine if they have a best response to the other player's strategy.

For Anna:

If Brian bids 100, Anna's best response is to bid 200, as this guarantees a higher payoff of 300.

If Brian bids 200, Anna's best response is to bid 100, as this guarantees a higher payoff of 300.

For Brian:

If Anna bids 100, Brian's best response is to bid 200, as this guarantees a higher payoff of 0.

If Anna bids 200, Brian's best response is to bid 100, as this guarantees a higher payoff of 0.

Therefore, the pure best response equilibria (BNE) of this game are:

(Anna: 200, Brian: 100)

(Anna: 100, Brian: 200)

In both cases, both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

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To get the slope of the line tangent to the particle's path at the point where t=3, we need to find the derivative of y with respect to x and the value of k is 1.

A tangent is a line that touches the curve or a circle at a point. The point at which the tangent line and the curve meets is called the point of tangency. Steps here:
Step:1 y = kt^2
x = ln(t+1)
Step:2 Using the chain rule, we can find dy/dx as follows: dy/dt = 2kt
dx/dt = 1/(t+1)
dy/dx = (dy/dt)/(dx/dt) = 2kt/(1/(t+1)) = 2k(t+1)
Step:3. Now we can use the fact that the slope of the tangent line at t=3 is 8:
dy/dx = 2k(3+1) = 8
k = 1
Therefore, the value of k is 1.

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Answer:

mean = 24

Step-by-step explanation:

From inspection, there are 7 values.

The values are 12, 13, 15, 28, 28, 30, 42

To find the mean, sum the numbers: 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Divide by the number of values:  168 ÷ 7 = 24

Therefore, mean = 24

Answer:

The son is 13 and the father is 39,

Step-by-step explanation:

x= dad's age

y= 1/3x= boy's age

x+y=52

Substitute y=1/3x

x+1/3x=52

1 1/3x= 52

4/3x= 52

Multiply by reciprocal on both sides

(3/4)(4/3x)= (52)3/4)

x= (52*3)/4

x= 156/4

x=39 dad's age

Substitute x answer in to find boy's

y= 1/3x= 1/3(39)= (1*39)/3= 39/3= 13 boy's age

Check:

13+39= 52

Answer:

speak Spanish

Step-by-step explanation:

I"m sorry

to help

(a) Based on Khalid's results we would expect 52 purple candies and 130 blue candies in the bag.

(b) Lastly, we would expect 78 more blue candies than purple candies.

According to Khalid's results, 10% of the candies were purple, which means there were:

0.10 x 520 = 52 purple candies

Similarly, 25% of the candies were blue, which means there were:

0.25 x 520 = 130 blue candies

To find the difference between the number of blue and purple candies, we can subtract the number of purple candies from the number of blue candies:

130 - 52 = 78

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There is significant evidence to support the alternative hypothesis at the 0.05 level of significance.

If you use a 0.05 level of significance in a two-tail hypothesis test and obtain a z-statistic of -2.28, you would first find the critical z-values associated with the 0.05 significance level.

For a two-tail test, you would divide the significance level by 2, resulting in 0.025 in each tail. The critical z-values are approximately -1.96 and +1.96.

Since your z-statistic, -2.28, is less than the lower critical z-value of -1.96, you would reject the null hypothesis. This indicates that there is significant evidence to support the alternative hypothesis at the 0.05 level of significance.

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Answer:

Sweet and Sour Company

Step-by-step explanation:

$24/4 gallons=$6/gallon

$16/8 quarts       (divide by 4 cause there's 4 quarts per gallon)=$8/gallon

Answer: Sweet and Sour company is right

Step-by-step explanation:

The solution of 3 drops of yellow food coloring needed to make a shade of orange icing with 9 drops of red food coloring is 72/24

The formula for calculating the number of drops of yellow food coloring required to make a shade of orange icing would be:

Yellow Food Coloring Drops = (Red Food Coloring Drops x 8) / 24

In this example, we are using 9 drops of red food coloring. To calculate the number of drops of yellow food coloring needed, we would plug in 9 for the number of drops of red food coloring, resulting in the following equation:

Yellow Food Coloring Drops = (9 x 8) / 24

We can solve this equation by multiplying both sides by 24 to get:

Yellow Food Coloring Drops x 24 = 9 x 8

We can further simplify the equation by multiplying the numbers on the right side of the equation to get:

Yellow Food Coloring Drops x 24 = 72

Finally, we can solve for the number of drops of yellow food coloring by dividing both sides of the equation by 24 to get:

Yellow Food Coloring Drops = 72/24

After simplification, we end up with the solution of 3 drops of yellow food coloring needed to make a shade of orange icing with 9 drops of red food coloring.

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In order to calculate how much was collected for sales tax, we need to calculate 8% of $216.

To do so, let's multiply 216 by 0.08:

Therefore the amount collected is $17.28.

Answer:

12

Step-by-step explanation:

Answer: Depending on you mean I have answers for them so I hope one of them is for what your looking for.

Answer:

Step-by-step explanation:

Use the speed formula:

\(s = \frac{d}{t}\)

The runner travelled 1 yard in 6  minutes.

\(s = \frac{1\:yard}{6\:minutes}\\s = 0.166...7\)

Hope this helps!

a. EVA (Economic Value Added) measures a company's economic profit by deducting the cost of capital from net operating profit after taxes.

b. EVA is a more comprehensive and suitable measure compared to EPS or ROE in evaluating a company's value creation.

a. EVA (Economic Value Added) is a financial metric that measures the economic profit generated by a company. It is calculated by subtracting the company's cost of capital from its net operating profit after taxes. EVA is significant because it provides a more accurate measure of a company's financial performance than traditional metrics like net profit or earnings per share. By deducting the cost of capital, EVA takes into account the opportunity cost of using capital and provides a clearer picture of whether a company is creating value for its shareholders.

b. EVA is a comprehensive measure that considers both the profitability and capital efficiency of a company, making it a more holistic indicator of performance compared to metrics like EPS (Earnings Per Share) or ROE (Return on Equity). While EPS focuses solely on the profitability of a company, and ROE measures the return generated on shareholders' equity, EVA takes into account the total capital employed and the cost of that capital. This makes EVA more suitable for evaluating the true economic value generated by a company.

In the Indian context, EVA can be a valuable metric for assessing corporate performance. It provides insights into how efficiently a company utilizes its capital and whether it is creating value for its shareholders. However, the adoption and use of EVA may vary among Indian companies, as it requires accurate and transparent financial data, as well as a thorough understanding of the concept and its calculation. Nevertheless, for companies that prioritize value creation and long-term sustainable growth, EVA can be a valuable tool for evaluating performance.

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Answer:

19/3 (6 1/3)

Step-by-step explanation:

Answer: Increases by 16 students per year

Step-by-step explanation:

100% = 800

2% = x

So between 100% and 2%, the scale factor would be 50 since 100 / 2 = 50

Then 800 / 50 would be 16

So..

1 Year = 816 students

2 Years = 832 students

3 Years = 848 students

4 Years = 864

And so on..

The value of a is 2/√7.

The given quadratic equation is x² ₋ 3ax ₊ a² = 0

sum of the roots of the equation  = 4

here, A = 1

B = 3a

C = a²

Let α and β be the roots of the equation.

α ₊ β = ₋B/A

= ₋3a/1

= ₋3a

⇒ α×β = C/A

= a²/1

= a²

⇒α² ₊ β² = (α ₊ β )²  ₋ 2αβ

= (₋3a)² ₋ 2(a²)

= 9a² ₋ 2a²

therefore, 7a² = 4

a² = 4/7

a = √4/7

a = 2/√7

Hence we found the value of a as 2/√7.

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Answer:

Based on the calculations, Option 3 has the lowest price per ml of juice and is, therefore, the best value for Sara.

Step-by-step explanation:

To find the cost of 1 ml of juice for each option, we need to calculate the price per ml of juice.

Option 1:

Regular carton is 500 ml and costs £1, with a 15% discount, the price would be:

1 - 0.15 = 0.85

0.85 x £1 = £0.85

Price per ml of juice = £0.85 ÷ 500 ml = £0.0017/ml

Option 2:

25% more juice than the regular carton is 625 ml, which is 125 ml more than option 3. But, the price is the same as the regular carton, which means:

Price per ml of juice = £1 ÷ 625 ml = £0.0016/ml

Option 3:

20% more juice than the regular carton is 600 ml, and with a 9% discount, the price would be:

1 - 0.09 = 0.91

0.91 x £1 = £0.91

Price per ml of juice = £0.91 ÷ 600 ml = £0.0015/ml

Based on the calculations, Option 3 has the lowest price per ml of juice and is, therefore, the best value for Sara.