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wolverine [178]
3 years ago
6

Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe

r of weeks in the course Person discovers that using the inverse function to solve for x=30, he can predict when he will have 30 assignments completed explain to Pedro how to accomplish this using complete sentences
Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x =  number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
   y = 4x - 3/2

2. Exchange x and y
   x = 4y - 3/2

3. Solve for y
   4y = x + 3/2
   y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
  f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
  f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)

Answer:
Pedro needs about 8 weeks to complete 30 assignments.

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The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem
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Answer:

1. 1340

2. Variance = 47200, standard deviation = 217.25556

Step-by-step explanation:

1-

If X is the random variable that give the number of admissions, then the expected number of admissions<em> E[X]</em> for the fall semester is

1080*P(X=1080)+1380*P(X=1380)+1540*P(X=1540) =

1080*0.4+1380*0.1+1540*0.5 = 1340

2-

The <em>variance</em> is defined as

\sigma^2=E[X^2]-(E[X])^2}

We have

E[X^2]=(1080)^2*0.4+(1380)^2*0.1+(1540)^2*0.5=1842800

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(E[X])^2=(1340)^2=1795600

So the variance equals

\sigma^2=1842800-1795600=47200

The <em>standard deviation is just the square root of the variance</em>, so, the standard deviation is

\sigma=\sqrt{47200}=217.25556

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3 years ago
Thirty-six percent of the 25 chess club members are new on the team. How many members are new
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2 years ago
Point O is on line segment NP. Given NP = 18 and NO = 15, determine the length OP.​
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OP = 3 units

Step-by-step explanation:

Point O is on line segment NP.

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NO + OP = NP

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OP = 18 - 15

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3 years ago
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