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2 years ago

Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B

Mathematics

1 answer:

JulsSmile [24]2 years ago

5 0

Answer:

They will do rounds together again in 11 minutes and 40 seconds.

Step-by-step explanation:

Security A rounds every 2 minutes and 20 seconds in the gate 1.

That is, after 2*60 + 20 = 120 + 20 = 140 seconds.

Security B rounds every 1 minute and 40 seconds in the gate 2.

That is, after 1*60 + 40 = 60 + 40 = 100 seconds.

After how many minutes they will rounds together again?

First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:

140 - 100|2

70 - 50|2

35 - 25|5

7 - 5|5

7 - 1|7

1 - 1

lcm(140,100) = 2*2*5*5*7 = 700 seconds

They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.

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The number of tickets issued by a meter reader for parking-meterviolations can be modeled by a Poisson process with a rateparame

Doss [256]

Answer:

Step-by-step explanation:

Let X be the number of tickets issued by a meter reader for parking-meterviolations can be modeled by a Poisson process with a rateparameter of five per hour.

X is Poisson with parameter =5per hour

a) the probabilitythat exactly three tickets are given out during a particular hour

= $P(X=3)=0.14037$

b) the probabilitythat at least three tickets are given out during a particularhour

= $P(X\geq 3) =0.87534$

c) tickets we expect to be given during a 45-min period

= $5(\frac{3}{4} )\\= 3.75$

Note: Poisson distribution is

$P(X=k) = \frac{e^{-k} 5^k}{l!}$

3 0

2 years ago

Find the percent of change from 688 qt to 172 qt.

Alekssandra [29.7K]

There is 75% decrease.

Step-by-step explanation:

Given,

Old value = 688 qt

New value = 172 qt

Change = New value - Old value

Change = 172 - 688

Change = -516 qt

The negative sign indicates decrease.

Decrease percent = $\frac{Change}{Old\ value}*100$

Decrease percent = $\frac{516}{688}*100$

Decrease percent = $\frac{51600}{688}$

Decrease percent = 75%

There is 75% decrease.

Keywords: division, subtraction

Learn more about subtraction at:

#LearnwithBrainly

3 0

2 years ago

Read 2 more answers

You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr

Angelina_Jolie [31]

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

=5000×0.6=3000

Amount invested in a saving account

5000-3000=2000

The stock increases 9% in the first year

3,000×(1+0.09)=3,270

and loses 4% of its value the second year

3,270×(1−0.04)=3,139.2

Amount of a saving account after two years

2,000×(1+0.049)^(2)=2,200.8

the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer

Hope it helps

8 0

2 years ago

Read 2 more answers

A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 6 green marbles. What is the probabi

alexgriva [62]

Answer: a) $\dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}$

Step-by-step explanation:

Since we have given that

Number of red marbles = 3

Number of yellow marbles = 4

Number of green marbles = 6

Total number of marbles = 3 +4 +6 = 13

a) the marble is red?

Probability of getting a red marble = $\dfrac{3}{13}$

b) the marble is not yellow?

Probability of not getting yellow = $\dfrac{3+6}{13}=\dfrac{9}{13}$

c) the marble is either red or green?

Probability of getting either red or green = P(red) + P(green) = $\dfrac{3}{13}+\dfrac{6}{13}=\dfrac{9}{13}$

d) the marble is neither red nor green?

Probability of getting neither red nor green = P(getting yellow) = $\dfrac{4}{13}$

Hence, a) $\dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}$

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2 years ago

Pentomino’s Pizza offers a medium pizza with a 12 in diameter for $6.00. The large pizza with a 15 in diameter is on sale for $1

lora16 [44]

A large because 4 dollars is the difference for 3 inches

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2 years ago