What value of y makes the statement true? -6(y+15)=-3+6

Which table represents a proportional relationships

Soloha48 [4]

I think The last one in right

y |2| 6 |10 |14
x |6 |18 |30 |42

6 0

3 years ago

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Relatable?? uhh yeah

mafiozo [28]

Answer:

mhm thanks 4 the points

Step-by-step explanation:

7 0

2 years ago

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a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the

ss7ja [257]

Answer:

16/100 = 4/25

Step-by-step explanation:

4/10 * 4/10 = 16/100

8 0

2 years ago

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

quester [9]

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

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

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:

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

6 0

3 years ago

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If it requires 6 pounds of wild caught animals to create 1 pound of salmon, what percent of the wild caught animals are wasted?

Oduvanchick [21]

The percentage of animal wasted is the number of animal wasted over 100

85.7% of the wild caught animals are wasted

<h3>How to calculate the animal wasted</h3>

From the question, we have:

Animals caught = 6 pounds

Salmon = 1 pound

The total weight in the system is:

Total = 6 pounds + 1 pound

So, we have:

Total = 7 pounds

The percent of wild caught animals wasted is then calculated as:

$\%Wasted = \frac{6}{7} * 100\%$

Simplify

$\%Wasted = 85.7\%$

Hence, 85.7% of the wild caught animals are wasted