3 years ago

Fill in the blank by choosing the most appropriate word.

Mathematics

1 answer:

Zanzabum3 years ago

4 0

Answer:

accurate

Step-by-step explanation:

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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7 − x 2 y=7-x2. what are the dimensions of such a rectangle with the greatest possible area?

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3 years ago

Solve the following system of equations using matrices:<br><br> 4x + 5y = 40<br> X-y=1

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About 145 out of 500 students prefer walking instead of riding the bus to school. About what percent of the students prefer walk

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4 years ago

Which equation is equivalent to log3 (x+5) = 2 ?

Serjik [45]

Answer:

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Step-by-step explanation:

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2 years ago

3. Students arrive at an ATM machine in a random pattern with an average inter-arrival time of 3 minutes. The length of transact

svp [43]

Answer:

The probability that a student arriving at the ATM will have to wait is 67%.

Step-by-step explanation:

This can be solved using the queueing theory models.

We have a mean rate of arrival of:

$\lambda=1/3\,min^{-1}$

We have a service rate of:

$\mu=1/2\,min^{-1}$

The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).

Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.

The last can be calculated as:

$P_{n>0}=\rho=\dfrac{\lambda}{\mu}=\dfrac{1/3}{1/2}=\dfrac{2}{3}=0.67$

Then, the probability that a student arriving at the ATM will have to wait is 67%.

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3 years ago