What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Response:

The Work In Progress (WIP) limit is set at 0.50 days.

Detailed explanation:

Calculating WIP limits:

first, it is essential to determine the efficiency of the process and procedure, which can be calculated as follows:

Value Added Time = 12 days (arrival time)

Non-Value-Added Time = 12 days (departure time)

Efficiency = Value Added / (Value Added + Non-Value Added)

                = 12 / (12+12)

                = 12 / 24

               = 0.50 or 50%

the minimum required throughput time is 0.25 days to achieve the maximum profits

WIP limit = Throughput time / Efficiency

               = 0.25 / 50%

               = 0.50 days.

The WIP limit is 0.50 days.

Answer:

The P-value ranges between 2.5% and 5% according to the t-table.

Step-by-step explanation:

A random sample of 16 students from a large university showed an average age of 25 years with a standard deviation of 2 years.

Let = true average age of all students at the university.

So, the Null Hypothesis, : 24 years {indicating the average age is less than or equal to 24 years}

Alternate Hypothesis, : > 24 years {indicating the average age is significantly greater than 24 years}

Here we employ the One-sample t-test statistics as the population's standard deviation is unknown;

                              T.S. = ~

where, = sample average age = 25 years

             s = sample standard deviation = 2 years

             n = sample size = 16

This gives us the test statistics = ~

                                     = 2

The value of the t-test statistics is 2.

Moreover, the P-value of the test-statistics can be found as follows;

P-value = P( > 2) = 0.034 {as per the t-table}

Thus, the P-value lies between 2.5% and 5% based on the t-table.