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Usimov [2.4K]
3 years ago
12

Ge A flower bed has the shape of a rectangle 24 feet long and 9 feet wide. What is its area in square yards? Be sure to include

the correct unit in your answer.
Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer:

area = 24 yd²

Step-by-step explanation:

convert the dimensions into yards using the conversion

1 yard = 3 feet

24 feet = \frac{24}{3} = 8 yards

9 feet = \frac{9}{3} = 3 yards

area = length × width = 8 × 3 = 24 yd²


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How do you do this problem? Explain.
Elza [17]

Answer:

The charges will be the same after 4 hours.

Step-by-step explanation:

Total Amount = y

Number of hours = x for x > 2

Garage A: y = $7.00 + (x - 2)*3

Garage B: y = 3.25*x

Part 3: What is the cost to be equal?

3.25x = 7 + 3(x - 2)                     Remove the brackets

3.25x = 7 + 3x - 6                       Collect terms on the right

3.25x = 3x + 1                              Subtract 3x from both sides.

3.25x - 3x = 3x - 3x + 1               Combine

0.25x = 1                                     Divide by 0.25

0.25 x/0.25 = 1 / 0.25            

x = 4 hours.


 

7 0
3 years ago
Between which 2 numbers on a number line will √20 be found?
ehidna [41]

Answer:

C.

Since the square root of 20 is around 4.5, we know that ≈4.5 is almost at the half mark between 4 and 5 on the number line.

4 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
2 years ago
Read 2 more answers
Nadine has a cup of nickels and a cup of dimes.
WITCHER [35]

Answer: 135 nickels

Step-by-step explanation:

135 Nickels is $6.75 and 165 dimes is $16.50

That's 300 coins. $6.75 + $16.50 = $23.25

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2 years ago
70% of x is 63. Write an equation to find the value of x, and solve the equation. What is the value of x?
melisa1 [442]

Answer:

70%of x = 63

70/100 × x = 63

x=63×100/70

x=90

Step-by-step explanation:

7 0
3 years ago
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