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2 years ago

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6. Use the graph that shows the percent of cat ownerswho train their cats in each category. (Examples 3 and 4)a. Out of 255 cat

owners, predict how manyowners trained their cat not to climb onfurniture.b, out of 316 cat owners, predict how many catowners trained their cat not to claw on furniture.Climbing onFurnitureClawingO FurnitureFightingwith otherAnimalsTraining Cats43%29%17%10 2030 40 50Percent Quick please

2 answers:

kodGreya [7K]2 years ago

7 0

Answer: a) 110 b) 92

Step-by-step explanation:

Since we have given that

Percentage of animals not to climbing on furniture = 43%

Percentage of animals not to clawing on furniture = 29%

Percentage of animals not to fighting with other animals training cats = 17%

If the number of cat owners = 255

Number of owners trained their cat not to climb on furniture is given by

$\dfrac{43}{100}\times 255\\\\=0.43\times 255\\\\=109.65\approx 110$

If the number of cats owners = 316

Number of owners trained their cat not to claw on furniture is given by

$\dfrac{29}{100}\times 316\\\\=0.29\times 316\\\\=91.64\approx 92$

Hence, a) 110 b) 92

Tcecarenko [31]2 years ago

3 0

A. 110 owners
B. 92 owners

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A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from s

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Answer:

a) $P=1-\frac{\lambda}{\mu}=1-\frac{20}{30}=0.33$ and that represent the 33%

b) $p_x =\frac{\lambda}{\mu}=\frac{20}{30}=0.66$

c) $L_s =\frac{20}{30-20}=\frac{20}{10}=2 people$

d) $L_q =\frac{20^2}{30(30-20)}=1.333 people$

e) $W_s =\frac{1}{\lambda -\mu}=\frac{1}{30-20}=0.1hours$

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Step-by-step explanation:

Notation

P represent the probability that the employee is idle

$p_x$ represent the probability that the employee is busy

$L_s$ represent the average number of people receiving and waiting to receive some information

$L_q$ represent the average number of people waiting in line to get some information

$W_s$ represent the average time a person seeking information spends in the system

$W_q$ represent the expected time a person spends just waiting in line to have a question answered

This an special case of Single channel model

Single Channel Queuing Model. "That division of service channels happen in regards to number of servers that are present at each of the queues that are formed. Poisson distribution determines the number of arrivals on a per unit time basis, where mean arrival rate is denoted by λ".

Part a

Find the probability that the employee is idle

The probability on this case is given by:

In order to find the mean we can do this:

$\mu = \frac{1question}{2minutes}\frac{60minutes}{1hr}=\frac{30 question}{hr}$

And in order to find the probability we can do this:

$P=1-\frac{\lambda}{\mu}=1-\frac{20}{30}=0.33$ and that represent the 33%

Part b

Find the proportion of the time that the employee is busy

This proportion is given by:

$p_x =\frac{\lambda}{\mu}=\frac{20}{30}=0.66$

Part c

Find the average number of people receiving and waiting to receive some information

In order to find this average we can use this formula:

$L_s= \frac{\lambda}{\lambda -\mu}$

And replacing we got:

$L_s =\frac{20}{30-20}=\frac{20}{10}=2 people$

Part d

Find the average number of people waiting in line to get some information.

For the number of people wiating we can us ethe following formula"

$L_q =\frac{\lambda^2}{\mu(\mu-\lambda)}$

And replacing we got this:

$L_q =\frac{20^2}{30(30-20)}=1.333 people$

Part e

Find the average time a person seeking information spends in the system

For this average we can use the following formula:

$W_s =\frac{1}{\lambda -\mu}=\frac{1}{30-20}=0.1hours$

Part f

Find the expected time a person spends just waiting in line to have a question answered (time in the queue).

For this case the waiting time to answer a question we can use this formula:

$W_q =\frac{\lambda}{\mu(\mu -\lambda)}=\frac{20}{30(30-20)}=0.0667 hours$

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2 years ago

Read 2 more answers

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alexira [117]

Answer:

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Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

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$x+y=28000$

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

$0.07x+0.09y=2200$

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

$(0.07x+0.09y)*100=2200*100\\7x+9y=220000$

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

$y=28000-x$

$7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000$

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0

2 years ago