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lawyer [7]
2 years ago
11

Your school is planning a field trip to a history museum. They are going to rent a large bus for $450. The cost of the ticket to

the museum is $15.75. Write an equation to represent this situation. Then, find how many people need to go on the trip for it to cost $40 per person.
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
6 0

Answer:

19

Step-by-step explanation:

To write an equation for the first situation, you need to determine which factors can be changed.  The bus will not change since you can have multiple people in one.  The ticket to the museum is per person.  This will change depending on how many people there are.

450 + 15.75x

For the second equation, you need to find how many people can go for it the cost to be equal to $40 per person.  Set the equation equal to $40 per person and solve.

450 + 15.75x = 40x

450 = 24.25x

x = 18.56

Round up to 19 since you can't 0.56 of a person.

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Anika [276]

Answer:

The probability that the maximum speed is at most 49 km/h is 0.8340.

Step-by-step explanation:

Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.

The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.

To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.

The formula to convert <em>X</em> into <em>z</em>-score is:

z=\frac{X-\mu}{\sigma}

Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

P (X ≤ 49) = P (X < 49 - 0.50)

                = P (X < 48.50)

                =P(\frac{X-\mu}{\sigma}

*Use a <em>z</em>-table for the probability.

Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.

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3 years ago
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