Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld?

The slope equals $0.10        (since $1.00 per 10 tokens translates to $0.10 per token)

The y-intercept is $60    (the fixed yearly membership fee)

The linear equation is y = 0.10x + 60    (following y = mx + b)  

The domain consists of all x values where x ≥ 0        (negative token quantities are impossible)

The range includes all y values with y ≥ 60        (plugging the domain values into the function)

The y-intercept of this function stands at $60

The correct choice is option D. The given equations are:...[1]...[2] Multiply equation [1] by 5 on both sides; we have...[3]. By using the elimination method, we can add equations [2] and [3] to eliminate y and determine x, resulting in... Dividing both sides by 13 yields x = 3. Substituting x back into equation [1] results in 2(3) - y = -4, which simplifies to 6 - y = -4. After subtracting 6 from both sides, we find -y = -10. Dividing through by -1 gives y = 10. Hence, the solution is (3, 10). Consequently, a valid equation that can replace 3x + 5y = 59 in the original set while still yielding the same result is 13x = 39.

To resolve this question, we begin by determining the height of the tree. If Sharon measures 54 inches, and the tree is five times her height, the calculation would be 54 times 5, resulting in 270 inches. Next, we find the height of the treehouse floor, which is stated to be twice her height, thus 54 times 2 equals 108 inches. Finally, we need to calculate the difference between the top of the tree and the height of the treehouse floor: 270 - 108 equals 162. I hope this information assists you!:) Best answer?

Response:

Regarding this scenario, we have the following details about the timeframe to organize a return

And we select a sample size =49>30, and we aim to find the standard deviation for the sample mean. Based on the central limit theorem, we understand that the sample mean distribution is represented by:

The standard deviation would then be:

Therefore, the most accurate response would be

b. 2 minutes

Step-by-step explanation:

Prior concepts

Normal distribution, defines a probability distribution that is symmetric around the mean, showing that occurrences near the mean are more frequent than those that are further away.

The central limit theorem states that "when we have a population with mean μ and standard deviation σ and draw sufficiently large random samples from the population with replacement, then the distribution of the sample means will resemble a normal distribution. This applies regardless of whether the original population is normal or skewed, given that the sample size is large enough".

Solution to the problem

For this case, we have the following information about the time to prepare a return

A sample size =49>30 also indicates that we are focused on determining the standard deviation for the sample mean. Based on the central limit theorem, we recognize that the sample mean distribution is described by:

And subsequently, the standard deviation will be:

Hence, the most accurate answer would be

b. 2 minutes