A compound containing only C, H, and O, was extracted from the bark of the sassafras tree. The combustion of 66.1 mg produced 179 mg of CO2 and 36.7 mg of H2O. The molar mass of the compound was 162 g/mol. Determine its empirical and molecular formulas.

Answer:

The answer is B. Just did it on Edge.

Answer:

The correct answer would be option B: mAngle1 + mAngle2 = 90°

Step-by-step explanation:

Just took the test on Edge :D

:P hope this helps!

We can be 90% confident that the true mean additional tax owed in the population of audited estate tax returns falls between $3044.92 and $3875.08.

To construct a 90% confidence interval for the mean additional tax owed in a random sample of 100 audited estate tax returns, we need to use a t-distribution because the population standard deviation is not known. The formula for the confidence interval is:

CI = x' ± t*(s/√n)

Where x' is the sample mean, s is the sample standard deviation, n is the sample size, and t is the t-value from the t-distribution with (n-1) degrees of freedom and a 90% confidence level.

The t-value for a 90% confidence level with 99 degrees of freedom (n-1=100-1=99) is 1.660.

Substituting the values given in the problem, we get:

CI = 3460 ± 1.660*(2520/√100)

CI = 3460 ± 415.08

CI = (3044.92, 3875.08)

This means that if we were to repeat this sampling process many times, 90% of the time the true mean would be captured by the confidence interval.

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Complete question is:

In a random sample of 100 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3460 with a standard deviation of $2520

Construct and interpret a 90% confidence interval for the mean additional.

The correct answer is a. The mean of the sampling distribution is always equal to the population mean.

This is known as the central limit theorem, which states that as the sample size increases, the sampling distribution will approach a normal distribution with a mean equal to the population mean. However, the standard deviation of the sampling distribution (option b) is not always equal to the population standard deviation and the shape of the sampling distribution (option c) is not always approximately normal, as it depends on the sample size and the underlying population distribution. Therefore, option d is incorrect. The correct is (a). The mean of the sampling distribution is always equal to the population mean. This is due to the fact that a sampling distribution is created by taking multiple random samples from the population, and as the number of samples increases, their mean tends to converge to the population mean. Options (b) and (c) are not always true, as the standard deviation and shape of the sampling distribution depend on the sample size and the underlying population distribution.

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A dilution is a solution that has been weakened with additional solvent to decrease its concentration. To dilute a standard solution, you must calculate the concentration of the final solution and the volume of the solvent that must be added to obtain it.

The volume of hydrochloric acid with a concentration of 9.00 mol/L required for the solution is 1.75 L.To find the quantity of water required, use the following formula:C1V1 = C2V2C1 = 9.00 mol/L, V1 = 1.75 L, and C2 = 2.50 mol/L are all given, but V2 is unknown. Using the formula, we may calculate V2 as follows:C1V1/C2 = V2 = (9.00 mol/L × 1.75 L) ÷ 2.50 mol/L= 6.30 L The quantity of water required to create a 2.50 mol/L hydrochloric acid solution from a 9.00 mol/L standard solution is 6.30 L.

A standard solution is a solution with a precisely known concentration that can be utilized to determine the concentration of other solutions. The objective of dilution is to decrease the concentration of a solution by adding a solvent. The resulting diluted solution is of lower concentration than the original concentrated solution. We can dilute a concentrated solution to any degree of dilution by adding more and more solvent. This lowering of concentration is caused by an increase in the volume of the solution. A standard solution is generally highly concentrated, so before it may be utilized, it must be diluted to the proper concentration. Dilution is a process used to decrease the concentration of a solution by adding a solvent. When the volume of the diluted solution is larger than the initial volume of the concentrated solution, this is termed "dilution. "It is used to create the desired concentration from a more concentrated solution. The diluted solution is prepared by adding solvent to the concentrated solution in a ratio determined by the concentrations of both solutions and the volume required. Dilution is the addition of more solvent to decrease the concentration of a solution.

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Answer:

-5 because of I'm right I am always right

The volume of the rectangular pyramid with a height of 6in, width of 2in and length of 4in is 16 cubic inches.

A rectangular pyramid is a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.

The volume of rectangular pyramid is expressed as;

V = (1/3) × l × w × h

From the image:

Length l = 4 in

Width w = 2 in

Height h = 6 in

Volume V = ?

Plug the given values into the above formula and solve for the volume.

V = (1/3) × l × w × h

V = (1/3) × 4 × 2 × 6

V = (1/3) × 48

V = 16 in³

Therefore, the volume is 16 cubic inches.

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The 8-puzzle problem can be categorized as a "Pathfinding problem."

The 8-puzzle is a classic problem in artificial intelligence and computer science. It involves a 3x3 grid with eight numbered tiles and one empty space. The objective is to rearrange the tiles from an initial configuration to a goal configuration by sliding them into the empty space.

The reason why the 8-puzzle problem is classified as a pathfinding problem is that it involves finding a sequence of moves or actions to reach a desired state or goal. In this case, the desired state is the goal configuration of the puzzle. The problem requires determining the optimal sequence of moves that lead to the goal state while considering the constraints and limitations of the puzzle.

Pathfinding problems involve finding the shortest or optimal path from a starting point to a goal or destination. In the 8-puzzle problem, the empty space serves as the movable "agent" that can slide adjacent tiles. The objective is to find the shortest sequence of moves or actions to transform the initial configuration into the goal configuration, effectively finding a path to the solution.

Therefore, due to its nature of finding an optimal sequence of moves to reach a goal state, the 8-puzzle problem can be categorized as a pathfinding problem.

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The radical expression 10√6 ÷ 2√2 has a value of 5√3, when evaluated

The expression is given as

10√6 ÷ 2√2

The above expression is a radical expression

So, we have

(10√6 ÷ 2√2) = (10 ÷ 2) x (√6 ÷ √2)

Evaluate the quotient of 10 and 2

So, we have

(10√6 ÷ 2√2) = 5 x (√6 ÷ √2)

Rewrite the expression as

(10√6 ÷ 2√2) = 5 x √(6 ÷ 2)

Evaluate the quotient of 6 and 2

(10√6 ÷ 2√2) = 5 x √3

This gives

(10√6 ÷ 2√2) = 5√3

Hence, the value of the expression is 5√3

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Answer:

Step-by-step explanation:

a

The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

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Answer:

#12 is 1

Step-by-step explanation:

Answer:

12. Table #3

13. Table #4

14. Graph #4

15. Graph #1

Step-by-step explanation:

12. None of the tables can have repeating x-values

13. Only one with a repeating x-value

14. If you draw a line on any of the graphs you will go through one of the lines on the graph at least twice (Means it's not a function)

15. Only one where you draw a line and it'll go through twice

The combination of  number of ways of groups of 3 customers are  19600 .

What is permutation and combination?

The number of store customer is N = 50

The number of customer that receive a special gift is r = 3

The expression for the number of possible ways to choose 3 customers is

                   = ⁿCr

                   = ⁵⁰C₃

                    = 50 * 49 * 48/3 * 2 * 1

                    = 19600

Thus, the number of ways of groups of 3 customers are  19600.

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Answer: bro just look it up fr fr

Step-by-step explanation:

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

\(\displaystyle S = \frac{k}{2}\left( a + x_k\right)\)

Where k is the number of terms, a is the initial term, and x_k is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

\(\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}\)

In conclusion, the sum of the arithmetic series is 2717.

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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Answer:

a. 0.6975

b. 0.25

c. The events are independent and inclusive

Step-by-step explanation:

a. The proportion of five-star football recruits in the nation that go to universities in the three most competitive athletic conferences = 75%

Therefore, the probability of a five-star football recruits chooses to go to a university in the three most competitive athletic conferences p(A) = 75% or 0.75

The proportion of the times five-star football recruits get full football scholarships = 93%

Therefore, the probability that a five-star football recruit get full football scholarships p(B) = 93% or 0.93

Therefore, the probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship can be written as -the probability that a randomly selected five-star recruit who chooses one of the best three conferences and will be offered a full football scholarship is therefore;

p(A) ∩ p(B) = p(A) × p(B) = 0.75×0.93 = 0.6975

b. The probability that a randomly selected five star recruit will not select a university from one of the three best conferences = 1 - p(A) = 1 - 0.75 = 0.25

c. The events are independent as the given probability of occurrence of one event does not alter the probability of the other event

The events are inclusive events are exclusive events as P(A)and P(B) can take place simultaneously.

figure C

When a point is reflected across the line y = x the x and y coordinates change its place. These are the coordinates of vertices of the figure C. Therefore, figure C represents the image of parallelogram LMNP.

Figure C is the image of parallelogram lmnp after a reflection across the line y = x

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation

If a point A(x, y) is reflected over the line y = x, the new point is at A'(y, x).

Parallelogram LMNP has vertices at L(3, 1), M(4, 3), N(5, 3) and P(4, 1). If it is reflection across the line y = x, the new point is L'(1, 3), M'(3, 4), N'(3, 5) and P'(1, 4) which is the same as figure C.

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Answer: h=11.9

Step-by-step explanation:

We know that the hypotenuse is 13 and we have the adjacent side of the angle 24. This means we can use cosine to solve.

\(cos(x)=\frac{adjacent}{hypotenuse} \\cos(24)=\frac{h}{13}\)

Multiply both sides by 13 to isolate h

\(cos(24)=\frac{h}{13} \\(13)cos(24)=\frac{h}{13}(13)\\13cos(24)=h\)

h=11.9

The points where the tangent line is horizontal on the curve \(x^2 + xy + y^2 = 1\) are (√(1/3), -2√(1/3)) and (-√(1/3), 2√(1/3)).

First, let's differentiate the equation implicitly with respect to x:

\(d/dx (x^2 + xy + y^2) = d/dx\) (1)

Using the product rule and chain rule:

2x + x(dy/dx) + y + 2y(dy/dx) = 0

Rearranging the equation and factoring out dy/dx:

(dy/dx)(x + 2y) = -2x - y

To find the points where the tangent line is horizontal, we set dy/dx equal to zero:

dy/dx = 0

This leads to the equation:

0(x + 2y) = -2x - y

0 = -2x - y

y = -2x

Now we substitute this expression for y back into the original equation to find the corresponding x-values:

\(x^2 + x(-2x) + (-2x)^2 = 1\\x^2 - 2x^2 + 4x^2 = 1\\3x^2 = 1\\x^2 = 1/3\)

Taking the square root of both sides:

x = ± √(1/3)

Therefore, the x-values where the tangent line is horizontal are x = √(1/3) and x = -√(1/3).

Substituting these x-values back into the equation y = -2x, we find the corresponding y-values:

For x = √(1/3), y = -2√(1/3)

For x = -√(1/3), y = 2√(1/3)

So, the points where the tangent line is horizontal are (√(1/3), -2√(1/3)) and (-√(1/3), 2√(1/3)).

Complete Question:

Find all points where the tangent line is horizontal: \(x^2 + xy + y^2 = 1\).

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Answer:

for the 1st one (4,5) the second one (-2,-1)

Step-by-step explanation:

easy look at the graph sussy baka

(A) Given the points (5, -2) and (5, 6);

The slope m, of a line passing through two points is given as;

The slope of the line passing through the points (5, -2) and (5, 6) is undefined

(B) Given the points (-7, 3) and (-7, -3)

Similarly, the slope is given as;

The slope of the line passing through the points (-7, 3) and (-7, -3) is undefined.

Answer:

$7 total

Step-by-step explanation:

$5 + $2 = $7

Answer:

23

Step-by-step explanation:

the difference between each number in the sequence is 4. Taking 4 away from 27 gives you 23

Hope this helps!

Answer:

5 shirts (read explanation)

Step-by-step explanation:

14x+29=100

14x=71

x=5.1

She can buy 5 shirts

Step-by-step explanation:

Set up a similar triangle ratio of the corresponding sides

5cm is to 10 cm

   as     A  is  to   8cm

5/10 = A /8       Multiply both sides of the equation by 8:

8 *  5/10 = A

A = 4 cm

Answer:

b

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

Answer:

4 miles

Step-by-step explanation:

Suppose we have two points:

\(A = (x_{1}, y_{1})\)

\(B = (x_{2}, y_{2})\)

The distance between these points is:

\(D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}\)

In this question:

Points (-8, -9) and (-4, -10).

So the distance is:

\(D = \sqrt{(-8 - (-4))^{2} + (-9 - (-10))^{2}} = \sqrt{17} = 4.12\)

The distance is 4.12 miles.

Rounding to the nearest mile, 4 miles.

Answer:

No more

Step-by-step explanation:

There are 5/12 strawberries were left. This can be solved using the concept of fraction addition.

A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.

Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.

Given that,

A farmer took 2/3 of the strawberry that he harvested to a market.

At the market, the farmer sold 1/4th of the strawberry.

Now, the farmer has left no of strawberries were:

= (2/3) - (1/4)

= (8 - 3) / 12

= 5 / 12

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Answer:

$0.65

Step-by-step explanation:

x=cost of washcloth

x+1.20=cost of towel

Now,

x+x+1.20=2.50

2x=1.30

x=0.65

So, cost of washcloth is $0.65