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Helga [31]
3 years ago
10

Help with this please

Mathematics
1 answer:
Alchen [17]3 years ago
3 0

Answer:

1) A player who came to bat 318 times had 80 hits.

2) If the number of staff members is increased by 1, the wait time will decrease by 1.62 minutes.

Step-by-step explanation:

Question 1)

The scatter plot is constructed between the number of times a player comes to bat and the number of hits they had. The x-axis shows the number of times a player comes to bat and y-axis shows the number of hits they had.

We need to tell what the point (318, 80) represents in context of this problem. The first number of the ordered pair is the position along x-axis and the second point is the position along y-axis.

Therefore, 318 is the number of times a player comes to bat and 80 is the number of hits the player had.

So, the point (318, 80) shows that a player who came to bat 318 times had 80 hits.

Question 2)

The scatter plot is constructed between number of minutes people had to wait at a restaurant (along y-axis) and the number of staff available at that time (along x-axis).

The linear model that represents the data is:

y = - 1.62x  + 18

The slope of the line is - 1.62. Slope is defined as the rate of change i.e change in y variable w.r.t to change in x variable.

So, in this case the slope represents the change in wait time w.r.t  change in staff available.

Slope - 1.62 in this scenario tells us that:

If the number of staff members is increased by 1, the wait time will decrease by 1.62 minutes.

Yes, this is a realistic measure. Increasing the staff member will help in serving the customers quickly which in turn will decreasing the wait time for customers.

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ANEK [815]

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Answer:

  more than half are being used

Step-by-step explanation:

Perhaps easiest to understand is the most straightforward: figure the total number of seats and the number of seats being used. Check to see if that is more than half.

The 1 first-class carriage has usage of ...

  (3/8)(64 seats) = 24 seats.

The 6 standard carriages have usage of ...

  (7/13)(6 · 78 seats) = 252 seats.

The total number of seats used is ...

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The total number of seats on the train is ...

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Half of the seats on the train will be ...

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<em>Alternate solution</em>

Another way to look at this is to compare utilization to 1/2 in each carriage class.

  In first class 1/2 -3/8 = 1/8 of 64 seats = 8 seats fewer than 1/2 the seats are being used.

  In standard class, 7/13 -1/2 = 14/26 -13/26 = 1/26 of 78 seats = 3 seats more than 1/2 the seats are being used. There are 6 standard class carriages, so 6·3 = 18 more than half the seats in the standard-class carriages are being used.

This number is 10 more than the 8 under-utilized seats in first class, so <em>more than half the train seats are being used</em>.

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