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NeX [460]
2 years ago
14

Someone help me ...plzz

Mathematics
1 answer:
Paha777 [63]2 years ago
5 0

Answer:

C) Its vertex is 2 units to the right of the vertex of the graph of f.

Step-by-step explanation:

By looking at the graph f(x) has vertex (1, - 2)

so f(x) = (x - 1)^2 - 2

If g(x) = f(x - 2) then g(x) will be:

g(x) = (x - 2 - 1 )^2 - 2

g(x) = (x - 3)^2 - 2

Vertex of g(x) : (3 , -2)

So answer:

Its vertex is 2 units to the right of the vertex of the graph of f.

Hope that helps

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Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have
serg [7]

Answer:

On average, customer spends approximately  98 min at Little’s Law Firm

Step-by-step explanation:

Given the data in the question;

Arrival rate λ = 6 per 8 hours =  6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute

Service rate δ = 1 / 50 min = 0.02 per minute

Standard deviation σ = 20 min

Now,

Utilization rate U = Arrival rate / Service rate

U = 0.0125 / 0.02

Utilization rate = 0.625

Number of people in Queue will be;

⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )

we substitute

⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )

⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )

⇒ 0.453125 / 0.75

Number of people in Queue = 0.6042

Now

Wait in the Queue = Number of people in Queue / λ

= 0.6042 / 0.0125 = 48.336

Wait Time in Office = Wait in the Queue + ( 1 / δ )

= 48.336 + ( 1 / 0.02 )

= 48.336 + 50

Wait Time in Office = 98.336 ≈ 98 min

Therefore, On average, customer spends approximately  98 min at Little’s Law Firm

3 0
3 years ago
What is the geometric mean of 7 and 9.
kirza4 [7]
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4 0
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kim took a trip to china. upon leaving she decided to convert all of her yuan back into dollars. How many dollars did she receiv
Kamila [148]
She received $2
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8x2= 16
So if 8 yuan equals $1 then 16 divided by 8 would be $2, hope this helped.
6 0
3 years ago
Read 2 more answers
How do you model a decimal using a fraction
stiks02 [169]
Okie dokie, 
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or \frac{5}{10}
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
\frac{1}{2} is your answer!
--------
Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
26/100 or \frac{26}{100}
You can simplify this!
13/50 is your answer!

Calculators can also come in handy!
Good luck!

4 0
3 years ago
503,497 and 26,475 the value of 7 in?is ?times the value of 7 in ?
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