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3 years ago

What is the slope of the line passes through the pair of points (-4.1,7.4), (4.3,3.2)

1 answer:

3 0

Hi there! The formula for finding the slope is y2 - y1/ x2 - x1. This means you subtract the first x and y-coordinates form the second x and y-coordinates. (-4.1, 7.4) is the first coordinate and (4.3, 3.2) is the second coordiante. Set it up like this:

3.2 - 7.4 / 4.3 - (-4.1)

Now, let's subtract. 3.2 - 7.4 is -4.2. 4.3 - (-4.1) is 9.4. -4.2/9.4 is -0.5 when simplified. There. The slope of the line is -0.5. The answer is C: -0.5.

Note: When you subtract a negative number, you're actually adding. So if an expression is 2 - (-3), the answer is 5, because you add 3 into 2.

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Help me plz add or subtract the following fraction answer the lowest terms.

Stels [109]

1. =4/16 which in simplified terms = 1/4

2. = 37/99 (find the lowest common denominator which is 99 then multiply them, then combine fractions then subtract them)

3. 2/25

4. 12/18 which simplified is 2/3

5. 5/15 which simplified = 1/3

Hope you understand that:)

3 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

Read 2 more answers

Which lines have a y-intercept at (0,4)?

Sati [7]

Answer:

y=-3x+4

Step-by-step explanation:

Using the formula y=mx+b

mx= slope b= y-intercept

hence,

y=-3x+4 has a y-intercept of (0,4)

8 0

3 years ago

Read 2 more answers

PLEASE ANSWER FAST Write an equation or inequality to represent the relationship "three

vlabodo [156]

Answer:

idk but you should lesten to blinding lights

Step-by-step explanation:

Simplify the following using a Property of Integer Exponents.

2,345⁰

4 0

3 years ago

subtracting 1 to the product of 5 and x gives the same value as adding 10 to the product of 3 and x. what value of x makes the s

Vilka [71]

Answer:17

Step-by-step explanation: You just follow the steps.

7 0

3 years ago