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andrey2020 [161]
3 years ago
6

Melissa can walk 1 mile in 22 minutes. If she walks the same rate for 66 minuets, how many miles has the walked ?

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
5 0

Answer: 3 miles

Step-by-step explanation:

andrey2020 [161]3 years ago
4 0

Answer:

3 miles. 22 X 3 is 66

Step-by-step explanation:

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A piece of string is 112 inches long. Isabel wants to cut it into 2 pieces so that one piece is three times as long as the other
lukranit [14]
Answer:28inches & 84inches

First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...

112=3x+x

Now lets solve for x.

112=4x
divide both sides by 4
28 inches=x

Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.

28*3=84 inches
28+84=112

4 0
4 years ago
6.
vova2212 [387]

Answer: I do think the answer is C

Step-by-step explanation: I agree with your choice.

7 0
3 years ago
Read 2 more answers
Question 2: show working out
kherson [118]
Answer in fraction form is exactly 2/27 
Answer in decimal form is approximately 0.07407

========================================================

Explanation:

4 people play both,9 play flat flute only, 12 play piano only.
So 4+9+12 = 13+12 = 25 people play one instrument only or they play both.

We have 27 people total meaning that 27-25 = 2 play neither instrument.

Divide the values 2 and 27 to get
2/27 = 0.07407
this value is approximate (rounded to five decimal places)

5 0
3 years ago
Customers arrive at a bank drive-up window every 6 minutes based on a Poisson distribution. Once they arrive at the teller, serv
Jet001 [13]

Answer:

(a) 0.01029 (b) 4.167 customers (c) 0.4167 hours or 25 minutes (d) 0.5 hours or 30 minutes

Step-by-step explanation:

With an arrival time of 6 minutes, λ=10 clients/hour.

With a service time of 5 minutes per transaction, μ=12 transactions/hour.

(a) The probability of 3 or fewer customers arriving in one hour is

P(C<=3)=P(1)+P(2)+P(3)

P(X)=\lambda^{X}*e^{-\lambda}  /X!

P(1)=10^{1}*e^{-10}  /1!=0.00045\\P(3)=10^{3}*e^{-10}  /3!=0,00227\\P(2)=10^{2}*e^{-10}  /2!=0,00757\\P(x\leq3)=0.00045+0.00227+0.00757 = 0.01029

(b) The average number of customers waiting at any point in time (Lq) can be calculated as

L_{q}=p*L=\frac{\lambda}{\mu}*\frac{\lambda}{\mu-\lambda}\\L_{q}=\frac{10}{12}*\frac{10}{12-10}\\\\L_{q}=100/24=4.167

(c) The average time waiting in the system (Wq) can be calculated as

W_{q}=p*W=\frac{\lambda}{\mu}*\frac{1}{\mu-\lambda}\\W_{q}=(10/12)*(1/(12-10))\\W_{q}=(10/24)=0.4167

(d) The average time in the system (W), waiting and service, can be calculated as

W=\frac{1}{\mu-\lambda}\\W=\frac{1}{12-10}=0.5

6 0
3 years ago
Which is the graph of f(x) = (x - 1)(x + 4)?
tensa zangetsu [6.8K]

Answer:

  • Graph D

Step-by-step explanation:

f(x)=(x-1)(x+4

roots x=1,-4,

x=0, y=-4

<u>OAmalOHopeO</u>

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3 0
3 years ago
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