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4 days ago

Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic

e (unloading using a single bay) operations follow exponential distribution with a rate of 48 trucks per day. What is the expected waiting time in the system (in hours) for a typical truck

Mathematics

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What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

tester [12383]

We have to calculate the result of the division problem.

$\frac{x^{3}-3x^{2}+3x-2}{x^{2}-x+1}$

To determine the result, long division will be employed.

$x^{2}-x+1$ ) $x^{3}-3x^{2}+3x-2$

Initially, we quotient with x since $x^{2}$ fits into $x^{3}$ , x times.

Thus, we have:

$x^{2}-x+1$ ) $x^{3}-3x^{2}+3x-2$ (x

$\text{..................}x^{3}-x^{2}+x$

After subtraction, we obtain:

$\text{....................}-2x^{2}+2x-2$

We can see that $x^{2}$ fits into $-2x^{2}$ , -2 times; therefore, the next addition to the quotient will be -2. This results in a final quotient of (x-2).

5 0

3 months ago

Read 2 more answers

Assuming two hikers begin at a trail start, which scenarios must be true based on the table? Check all that apply.

AnnZ [12381]

To respond to the query, we need to examine the table.

5 0

2 months ago

Read 2 more answers

There are 30 students in Mrs. Woodward’s class, and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of

lawyer [12517]

3 students. Step-by-step breakdown: In Mrs. Woodward's class, there are 30 students. One-fifth have their own cell phones, meaning 6 students in total. Out of these, half are permitted to use social media, leading to a total of 3 students allowed access to social media.

3 0

2 months ago

Gabi wants to drive to and from the airport. She finds two companies near her that offer short-term car rental service at differ

Inessa [12570]

Answer:

The cost difference per mile between the two companies is $0.12.

Step-by-step explanation:

Gabi formulates the equation $0.22m+7.20=0.1m+8.40$ to determine after how many miles, denoted as m, the charges of both companies will be equal.

The first company levies $c_1=0.22m+7.20$ for m miles traveled.

The second company's charge for the same m miles is $c_2=0.1m+8.40$ .

In these equations, the figures 7.20 and 8.40 signify the initial fees the companies impose.

The values 0.22 and 0.1 represent the respective costs per mile.

As such, the disparity in per-mile charges amounts to $0.22-0.1=0.12$ .

An alternative method to tackle this problem is by calculating the per-mile rate for each company:

1. Cost per mile for the first company

$c_1(0)=0.22\cdot 0+7.20=7.20\\ \\c_1(1)=0.22\cdot 1+7.20=7.42\\ \\c_1(1)-c_1(0)-7.42-7.20=0.22$

2. Cost per mile for the second company

$c_2(0)=0.1\cdot 0+8.40=8.40\\ \\c_2(1)=0.1\cdot 1+8.40=8.50\\ \\c_2(1)-c_2(0)=8.50-8.40=0.1$

3. The difference:

$0.22-0.1=0.12$

6 0

3 months ago