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2 years ago

Divide the difference between 1300 and three hundred fifty, by four

Mathematics

1 answer:

BaLLatris [955]2 years ago

6 0

Answer:237.5

Step-by-step explanation:

The difference =1300-350

The difference=950

Dividing the difference by 4=950/4=237.5

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There are 100 runners entered in a marathon. How many different groups of three runners can finish in first, second, and third?

Lelu [443]

Any one of the runners could be 1st.
Every runner except for the one that was 1st could be 2nd.
Every runner that wasn't 1st or 2nd could be 3rd.

100*99*98=970200 groups.
This involves permutations because order does matter.

Hope this helps!

3 0

3 years ago

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

kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by, α = 36 / day

Truck operation departure rate is given, β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

$w_{s} = \frac{1}{\alpha - \beta }$

where $w_s$ is waiting time in system

$\alpha$ is arrival rate described Poission distribution

$\beta$ is service rate described by Exponential distribution

$w_{s} = \frac{1}{\alpha - \beta }$

$w_{s} = \frac{1}{48 - 36 }$

$w_{s} = \frac{1}{12 } day$

$w_{s} = \frac{1}{12 } \times 24 hour$ ...it is due to 1 day = 24 hours

$w_{s} = 2 hours$

Therefore, time required for waiting in system is 2 hours.

5 0

3 years ago

I will mark you the brainiest for the correct answer, please be correct, Have a good day and take care, thanks. ( VIEW THE IMAGE

makkiz [27]

Mistake in Line 2 : Was in the determining the values for a ,b,c

Mistake in Line 4 : Not taking the square roots of both sides.

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2}$

First Mistake : Line 2

$a = x \\ b = 6 \\ c = 10$

Second Mistake : Line 4

$136 = {x}^{2} \\ not \\ 136 = x$

Correct Solution :

${x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x}^{2} = 100 - 36 \\$

${x}^{2} = 64 \\ \sqrt{ {x}^{2} } = \sqrt{64} \\ x = 6$

3 0

2 years ago

Complete each congruence statement by naming the corresponding angle or side. NO LINKS!!!

Oksanka [162]

Answer:

Solution given:

<JKL=<KLS

FD=GD

5 0

2 years ago

Read 2 more answers

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 100 models

gregori [183]

The given model would make the least sense to use for x=-2.75.

the given function is:

$h(x)= -16x^2 +100$

a quadratic relationship,

where

h is the height in feet

x is the time in seconds

<h3>what is kinetic energy?</h3>

Kinetic energy is a form of energy that an object or a particle has by reason of its motion.

as we know that time always appears to run forward, never backward. cannot take negative values so option 1 i.e 2.75 is not possible. Also, after a certain period of time object will vanish all its kinetic energy, resulting in h=0 but h(-2.75)= -21 which is meaningless.

h(-2.75) = $-16*(-2.75)^2+100 = -21\\$

h(0.25) = $-16*0.25^2 +100=99$ $-0.25^2*16+100=99$

h(1.75) = $-16*1.75^2+100=51$

h(25) = $-16*2.25^2+100= 19$

therefore, x=-2.75 this model would make the least sense to use

to get more about kinetic energy refer to:

brainly.com/question/114210

6 0

1 year ago