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Stella [2.4K]
2 years ago
5

A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the

following absolute value inequalities matches this scenario?
Mathematics
2 answers:
Pepsi [2]2 years ago
8 0

Answer:

| x1 -25\ | \leq\ 6 is the correct answer to the given question.

Step-by-step explanation:

Missing information

In this question options are missing.Following are the option

(a) | x1 -25\ | \leq\ 6

(b) | x1 - 6 |\ > 25

(c)| x1 +25 |\ \leq \ 6

(d) | x1 +25 |\ > 6

As mention in the question On the highway, car is said to get 25 miles per gallon

We assume x1= 25

also that the value of x1 is fluctuate by 6 miles per gallon

x1 \leq \ 25\ \pm\ 6

This can be written as

x1\ -25 \leq \  \pm\ 6

Therefore

| x1 -25\ | \leq\ 6 is the answer

Masteriza [31]2 years ago
4 0

Answer:

KPMIOMOPLP

Step-by-step explanation:

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There are 200 seats on the Boeing 747 flight from Dallas to Houston. Assume that the number of passengers who buy tickets but do
Dimas [21]

Answer:

a. The number of reservations should the manager accept is 225 bookings

b. The probability that the manager will have to compensate for customers when there are not enough seats is 0.2317

Step-by-step explanation:

According to the given data we have the following:

Cost of Overage Co = 800

Cost of Underage Cu = 475

Hence, Critical Ratio = Cu/(Cu+Co)

Critical Ratio = 475/1275

Critical Ratio = 0.3725

To calculate the number of reservations should the manager accept we would have to calculate first the Optimal Number of Overbooking as follows:

Z = NORM.S.INV(0.3725) = -0.3251

Optimal Number of Overbooking = Mean of No show + Z*Sd of No show

Optimal Number of Overbooking = 30 - 0.3251*15

Optimal Number of Overbooking = 25.12

Optimal Number of Overbooking = 25

a. Therefore, Number of reservation = Capacity + Overbooking = 200+25 = 225 bookings

b. Number of Overbooking = 220 - 200 = 20

Manager will have to compensate if there will be less than or equal to 19 No show.

Therefore, to calculate the probability that the manager will have to compensate for customers when there are not enough seats we have to calculate the following formula:

P(Compensation) = P(No Show <= 19) = P(Z <= (19-30/15))

P(Compensation) = P(Z<= - 0.7333)

P(Z< - 0.7333) = NORM.S.DIST(-0.7333,1)

P(Z< - 0.7333) = 0.2317

P(compensation) = 0.2317

Probability of Compensation = 0.2317

6 0
3 years ago
What is the answer to this repeated subtraction problem
LenaWriter [7]

Answer:

19.875

Step-by-step explanation:

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What is the final elevation if a diver starts at 5 m and changes -16 m?
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Answer: you would do -16 - 5 = -21

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djyliett [7]

Answer: 15

Step-by-step explanation:

4 0
3 years ago
3(2x-7=5-(1-x) pls help me
vekshin1

Answer:

 3 • (2x - 7) -  (x + 4)  = 0

then do 3.1     Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  = 0

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Step-by-step explanation:

7 0
2 years ago
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