solve (2x-10)=(65-x)

Answer:

the answer is D

Step-by-step explanation:

the quadrilaterals are not the same

The probability that all four piles have exactly one Ace is 1 / (13 * 17 * 50 * 49), which is approximately 0.00014424.

To find the probability that all four piles have exactly one Ace, we can consider the number of ways to distribute the Aces and the total number of possible distributions.

There are 4 Aces in the deck, and each pile should receive exactly one Ace. The first Ace can be placed in any of the 52 cards, the second Ace in any of the remaining 51 cards, the third Ace in any of the remaining 50 cards, and the fourth Ace in any of the remaining 49 cards.

So, the total number of possible distributions is 52 * 51 * 50 * 49.

To calculate the probability, we need to divide the number of favorable outcomes (where all piles have exactly one Ace) by the total number of possible distributions.

Since each Ace can be distributed to any of the 4 piles, the number of favorable outcomes is 4 * 3 * 2 * 1.

Therefore, the probability is (4 * 3 * 2 * 1) / (52 * 51 * 50 * 49), which simplifies to 1 / (13 * 17 * 50 * 49).

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If the slope of the line is 7 /10, the vertical change that will be present for a horizontal change of 63 ft is 44.1 ft

The slope of a line is the measure of its steepness. Therefore,

slope = change in y(vertical) / change in x(horizontal)

slope = y₂ - y₁ / x₂ - x₁

slope = 7 / 10

Therefore,

7  / 10 = y / 63

cross multiply

441 = 10y

divide both sides by 10

y = 441 / 10

y = 44.1 ft

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Answer:

AAS

Step-by-step explanation:

Answer:

1.87

Step-by-step explanation:

Is 4 less than five in the thousands place, yes, so keep the first two decimal digits the same

To see statistics by category you would use an aggregate query or a group by query.

To see statistics by category, you would typically use an aggregate query or a group by query.

These types of queries allow you to group data based on a specific category and calculate statistics or summaries for each category.

In SQL, you can use the GROUP BY clause to group data based on a specific column or columns. You can then use aggregate functions like COUNT, SUM, AVG, MAX, MIN, etc., to calculate statistics for each category.

Depending on the specific database management system or programming language you are using, the syntax may vary slightly, but the concept of using an aggregate or group by query remains the same.

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Answer:

3.09, 3.75, 4.04, 4.09, 4.42

Step-by-step explanation:

Interpreting data involves analyzing the information presented and drawing conclusions or making predictions based on that information.

What is data ?

Data is a collection of facts, observations, measurements, or descriptions of something that can be used to analyze, understand, or make decisions.

Displaying and interpreting data is an important part of understanding and communicating information. Here are some common ways of displaying and interpreting data:

Tables: Tables are a common way of organizing and displaying data. They can be used to show different categories of data, such as the number of students in a class by grade level or the sales of different products by month.

Bar graphs: Bar graphs are used to compare different categories of data. The height of each bar represents the value of the data for that category. Bar graphs can be vertical or horizontal.

Line graphs: Line graphs are used to show trends over time. The x-axis represents time and the y-axis represents the value of the data. Line graphs can be used to show changes in temperature over the course of a day or changes in the stock market over the course of a year.

Pie charts: Pie charts are used to show the proportion of different categories of data. The circle represents the whole and each slice represents a percentage of the whole.

Mean, median, and mode: Mean, median, and mode are measures of central tendency that can be used to describe a set of data. The mean is the average of all the data points, the median is the middle value when the data is arranged in order, and the mode is the most common value.

Therefore, Interpreting data involves analyzing the information presented and drawing conclusions or making predictions based on that information.

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Completed question:

Define Displaying and Interpreting Data.

Answer:

Yes.  It needs to be clear that it is on going.  So as long as it is evident that it repeats, you're good.

Step-by-step explanation:

The (p ∧ q) → r is true.On the basis of above discussion, it is proved that (p → r) ∨ (q → r) is logically equivalent to the statement (p ∧ q) → r.

We need to prove that (p → r) ∨ (q → r) is logically equivalent to the statement (p ∧ q) → r.Statement: (p ∧ q) → r. We know that the conditional statement is only false when the hypothesis is true and the conclusion is false. It is true otherwise.So, we need to consider the following two cases:Case 1: p ∧ q is trueIn this case, as p ∧ q is true, p is true and q is true. As (p ∧ q) is true, the conclusion r must be true. Hence, the statement (p ∧ q) → r is true.Case 2: p ∧ q is falseAs p ∧ q is false, either p is false or q is false or both. Hence, the conclusion r can be either true or false. In this case, the statement (p ∧ q) → r is true as well.Now, we need to prove that (p → r) ∨ (q → r) is also true. Let's consider the following cases:Case 1: p → r is trueIn this case, if p is true, then r must be true. Otherwise, the statement p → r would be false. Hence, (p → r) ∨ (q → r) is true.Case 2: q → r is trueIn this case, if q is true, then r must be true. Otherwise, the statement q → r would be false. Hence, (p → r) ∨ (q → r) is true.Case 3: p → r and q → r are falseIn this case, p and q are false, which means that (p ∧ q) is false. Hence, (p ∧ q) → r is true.On the basis of above discussion, it is proved that (p → r) ∨ (q → r) is logically equivalent to the statement (p ∧ q) → r.

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Answer: 6

Step-by-step explanation: The way to solve this problme is to move backwards. Instead of adding you would subtract the number after the equal sign and whatever number before. It's kind of like a fact family!

10-4=6 so the answer is 6.

I hope this help you out, have an awesome day! :)

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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(a) The sum of the interior angles of the nonagon is 1260°.

(b) The sum of the interior angles of the dodecagon is 1800°.

(c) The sum of the interior angles of the 23-gon is 3780°.

What is a convex polygon?

A convex polygon is a closed figure with all of its interior angles less than 180° and all of its vertices pointing outward. The term convex refers to a shape with a curve or a projecting surface. To put it another way, all of the lines across the outline are straight and point outwards.

The formula for the sum of the interior angle is (n -2)180°.

The number of sides of the nonagon is 9.

Putting n = 9 in (n -2)180°, to find the sum of interior angle of nonagon:

The sum of the interior angle is (9 -2)180° = 1260°.

The number of sides of dodecagon is 12.

Putting n = 12 in (n -2)180°, to find the sum of interior angle of dodecagon:

The sum of the interior angle is (12 -2)180° = 1800°

Putting n = 23 in (n -2)180°, to find the sum of interior angle of 23-gon:

The sum of the interior angle is (23 -2)180° = 3780°.

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Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Answer:

k=15

Step-by-step explanation:

Answer:

Therefore, the measure of ∠x is 33 degrees.

Step-by-step explanation:

As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:

∠R + ∠x = 90 degrees

Substituting the given values, we get:

57 + ∠x = 90

∠x = 90 - 57

∠x = 33 degrees

Answer: x = 32°

Step-by-step explanation: triangle of ABC = 58°, 90° & x°

                                              x = 180°-148° = 32°

(x° is equal to the unknown° where C is, as well as 58° where A is)

Answer:

First one

Step-by-step explanation:

5sin(3pix)+8=4

5sin(3pix) = -4

sin(3pi x) = -0.8

Basic angle: sin^-1(0.8) = 0.927295218

3pi x = pi+0.927295218, 2pi-0.927295218

3pi x = 4.068887872, 5.355890089, 4.068887872 + 2pi, 5.355890089 + 2pi, 4.068887872 + 4pi, 5.355890089 + 4pi,

x = above values/3pi

x = 0.43217, 0.568, 1.0984, 1.235, 1.765, 1.9016

Answer:

exponential decay

Step-by-step explanation:

a value is less than 1 but greater than 0, making it decay.

No, The random sum Yn = ΣXx is not a Poisson-distributed is the answer.

No, the random sum Yn = ΣXx is not Poisson-distributed. The Poisson distribution is a probability distribution that describes the number of events occurring within a fixed interval of time or space, given the average rate of occurrence. In this case, the random variables Xk in the sequence {Xx}k>1 are independent and Poisson-distributed, but they are not identically distributed. This means that each Xk has its own specific Poisson distribution with its own mean and rate parameter.

When we sum the random variables in Yn, we are essentially adding together different Poisson distributions with different mean and rate parameters. The resulting distribution of Yn will depend on the specific values of Xk and their corresponding distributions. It will not follow a Poisson distribution.

To illustrate this, consider the case where X1 follows a Poisson distribution with mean λ1 and X2 follows a Poisson distribution with mean λ2. The sum Yn = X1 + X2 will follow a Poisson distribution with mean λ1 + λ2, but it will not be a Poisson distribution with a single rate parameter.

Therefore, the random sum Yn = ΣXx is not Poisson-distributed.

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Answer:

\(y = -\frac{5}{3}x-7\)

Step-by-step explanation:

We are given three coordinates. First, we have to find the slope. We can do this by counting the slope of two points which we will do for simplicity's sake.

\(\frac{rise}{run}\) gives us \(-\frac{5}{3}\) which we will use as the slope.

Looking at the graph, the y intercept of the equation is -7, so our equation would be \(y=-\frac{5}{3}x-7\)

By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

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Yes the graph of the function represents a linear piecewise function of x.

From the graph we can see that the function can be broken down into 3 distinct parts.

Let us take the first part of the graph which represents the function:

For values of x ranging from negative infinity to 0, the value of y is 2 .

So the function is of the form y = 2.

Now for the second slanting part of the function.

The function passes through the points (0,2) and (2,-2)

Slope of the line = (-2-2)/(2-0) = -2

Equation of the line :

y-2 = -2(x)

or, y + 2x = 2.

Now for the third part of the function is y = -2 for all x>2

Hence the piecewise function can be represented as for the domain of x:

     {2 , x < -2 }

y = {2-2x , -2 ≤ x ≤ 2}

     {-2 , x > 2}

Hence all parts are linear so the function is linear in nature.

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I Believe that the correct answer is option C) 401 r

8,441 ÷ 21 = 401.952380952

HOPE THIS HELPED!!!

If not please comment below

Answer:

Angle B = 24°

Step-by-step explanation:

Given:

that means, Angle A = 5 ( Angle B + 7.2 )

Now,

Let Angle B = x (say)

•.• Angle A = 5 ( x + 7.2 )

Therefore, As it is given that the angles are supplementary , the sum of Angle A and Angle B will be equal to 180°.

Angle A + Angle B = 180°

\(⇢x + 5(x + 7.2) = 180\)

\(⇢x + 5x + 36 = 180\)

\(⇢6x = 180 - 36\)

\(⇢6x = 144\)

\(⇢x = \frac{144}{6} \)

Now, substituting the value of x. . .

Thus, Angle B comes out 24°

Each cutting machine cuts 105 parts every 3 minutes. There are 5 cutting machines because one cutting machine is shut down.

In order to determine how many parts the 5 cutting machines cut in 4 1/2 hours, multiply the factor 105/3 by 5 (number of cutting machines) by the factor 4 1/2 but in minutes:

4 1/2 = 4.5 hours = 4.5 (60 min) = 270 min

then,

(5)(105 parts/ 3min)(270 min) = 47,250

Hence, in 4 1/2 hours the rest of the cutting machines cut 47,250 parts

Answer: two hundred thirty-eight thousand nine, (2 x 100,000) + (30 x 10,000) + (8 x 1,000) + (9 x 1). doscientos treinta y ocho mil nueve, (2 x 100.000) + (30 x 10.000) + (8 x 1.000) + (9 x 1).

Step-by-step explanation: I learned it already.

Answer:

A, C

Step-by-step explanation:

Answer:

125235

Step-by-step explanation:

There are n=495 integers from a₁=6 to aₙ=500:

\(\displaystyle S_n=\frac{n}{2}(a_1+a_n)\\\\S_{495}=\frac{495}{2}(6+500)\\\\S_{495}=(247.5)(506)\\\\S_{495}=125235\)

Therefore, the sum of the integers will be 125235

Answer:

S=2t

or

T=1/2 S