Solve X-9+2wx=y for x

Answer:

The solution yields a number equal to -136.

Step-by-step explanation:

Let x represent the number, leading to the following equation:

x + 2 = 7/8 x - 15

Rearranging gives:

x - 7/8 x = -15 - 2

1/8 x = -17

x = -17 * 8 resulting in -136.

Answer:

The mean and center will be nearly identical, while the variability in simulation B will exceed that of simulation A.

Step-by-step explanation:

Solution

In general, the size of the sample significantly influences the distribution.

As a guideline, by quadrupling the sample size, the sampling error typically reduces by half.

Here, simulation B has a sample size that is twice that of simulation A.

Thus, the sampling error related to the mean is affected, and it stands that A does not have a greater value.

However, its sample size is considerable for this context, making them nearly equal.

Additionally, increased trials lead to decreased variability in simulation. A displays lesser variability.

As trial numbers increase, variability in simulation declines, hence A has lesser variability.

Response:

Refer to the figure attached.

Step-by-step explanation:

Each portion is treated as a function.

Let x represent the hours worked in a day

The company packs 80 boxes of toys each hour during the first three hours. Thus, y₁ = 80x, for x ∈ [0,3]

After three hours, the total boxes packed = 80 * 3 = 240

They pause packaging for two hours for a training session. Therefore, y₂ = 240, for x ∈ [3,5]

Next, for the subsequent four hours, they pack 20 boxes of toys hourly

y₃ = 20x + c, for x ∈ [5,9]

To determine c, equate y₂ and y₃ at x = 5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 = 240 - 100 = 140

∴ y₃ = 20x + 140, for x ∈ [5,9]

Consequently,

y₁ = 80x, for x ∈ [0,3]

y₂ = 240, for x ∈ [3,5]

y₃ = 20x + 140, for x ∈ [5,9]

The graph plotting the piecewise function that depicts the described situation is shown in the attached illustration.

Answer:

The variation constant is 1/9

The direct variation equation is expressed as y/x= 1/9

Step-by-step explanation:

In the case of direct variation, the formula y/x=k is used where k represents the constant of variation. For this situation, y denotes square yards and x represents square feet. Given that 27 square feet equals 3 square yards, we derive one coordinate (x₁, y₁) as (27 square feet, 3 square yards). Substituting x₁ and y₁ into our equation yields

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Consequently, the constant of variation is 1/9

Subsequently, as previously mentioned, y/x = k outlines the direct variation equation. Thus, we have y / x = 1/9 as our equation

* We can simplify the fraction since 3 divides both 3 and 27 evenly. To find the greatest common factor, you can list factors of each number and determine the highest shared factor.