Answer:
Detailed Solution:
Given: He plans to deposit more than his regular $25 weekly amount over 8 weeks.
Find: The inequality and solution representing the consistent extra amount he can add weekly so that his total savings after 8 weeks exceed $500.
Approach:
His regular weekly deposit is $25.
Define x as the constant additional amount deposited each week.
Therefore, weekly deposit equals 25 plus x.
Over 8 weeks, total deposits amount to 8 times (25 plus x).
The total must be greater than 500.
Thus,
Inequality is:
Solution is:
Therefore, choice C is the correct answer.
Hence, the inequality and solution expressing the additional weekly deposit to keep the total over 500 in 8 weeks is
Response:
MAD value comes out to be 3.
Detailed Breakdown:
The given sales forecasts for the last four months are 5, 6, 11, and 12 units.
To calculate the Mean Absolute Deviation (MAD) for these forecasts:
The average of the forecasts across four months is .
Thus, the total of absolute differences between the forecast values and the average is = |5 - 8.5| + |6 - 8.5| + |11 - 8.5| + |12 - 8.5| = 3.5 + 2.5 + 2.5 + 3.5 = 12.
Hence, the MAD value will be = (Final Answer)
Answer:
The chance of completing the entire package installation in under 12 minutes is 0.1271.
Step-by-step explanation:
We define X as a normal distribution representing the time taken in seconds to install the software. According to the Central Limit Theorem, X is approximately normal, where the mean is 15 and variance is 15, giving a standard deviation of √15 = 3.873.
To find the probability of the total installation lasting less than 12 minutes, which equals 720 seconds, each installation should average under 720/68 = 10.5882 seconds. Thus, we seek the probability that X is less than 10.5882. To do this, we will apply W, the standard deviation value of X, calculated via the formula provided.
Utilizing , we reference the cumulative distribution function of the standard normal variable W, with values found in the attached file.
Given the symmetry of the standard normal distribution density function, we ascertain .
Consequently, the probability that the installation process for the entire package is completed within 12 minutes is 0.1271.
Solution
The number of weeks in a year is 52 weeks
In a typical year, where each flea treatment lasts 4 weeks, Jim's dog would receive
Conversely, during especially bad flea years, when treatments only last for 3 weeks, Jim's dog would need
So in a year, Jim's dog would need 17- 13 =4 extra treatments.
4 treatments at 3 weeks each total 4×3 =12 weeks of additional treatment