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KiRa [710]
2 years ago
14

The two-way frequency table below shows data on student behavior and the use of positive phone calls home as an incentive for go

od behavior for a group of students at Lion's Lane Elementary School.
Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Desirable behavior Undesirable behavior
Phone call 19 9
No phone call 8 6

Desirable behavior Undesirable behavior Row total
Phone call 1.00
No phone call 1.00

Mathematics
1 answer:
dusya [7]2 years ago
8 0

Answer:

From the frequency table, let's calculate the row total.

Row total for phone call = 19 + 9 = 28

Row total for no phone call = 8 +6 = 14

To calculate their respective row relative frequencies, let's use:

Row relative freq = \frac{freq.}{Row total}

Now, the two-way frequency table will be computed as:

For phone call:

Desirable behavior = \frac{19}{28} = 0.67857 ≈0.69

Undesirable behaviour = \frac{9}{28} = 0.3214 ≈0.32

No phone call:

Desirable behaviour = \frac{8}{14} = 0.5714 ≈ 0.57

Undesirable behaviour = \frac{6}{14} = 0.4286 ≈ 0.43

The complete two-way table is attached.

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A recipe states that 5 servings of peanuts have 1,250calories. How many calories is 2 servings of peanuts? *
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Answer:

Step-by-step explanation:

distance = rate times time, so

           

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time = --------------  =  (40/x) hr

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If the speed is reduced by 2 km/hr, we get:

              40 km                                            40 km                  40

time = -------------------------------  or time = ----------------------- = --------- hr

             (x km/hr - 2 km/hr)                      (x - 2) (km/hr)       x - 2

The difference between the times is:

 40          40

-------- - --------- = 1 hr          Solve this for the original speed, x

x - 2         x

40x - 40x + 80                                80

-----------------------  =  1 hr     or     ------------ = 1     or 80 = x^2 - 2x

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Rewriting this in standard quadratic form:  x^2 - 2x - 80 = 0

Here a = 1, b = -2 and c = -80, and so the discriminant b^2 - 4ac is:

(-2)^2 - 4(1)(-80) = 324

The solutions are:

   

      -(-2) ± √324       2 ± 18

x = -------------------- = ------------ = 1 ± 9, or 10 (discard the other root)

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Prompt:
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Answer:

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Answer:

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Step-by-step explanation:

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Over the interval [2, 4], the local minimum is –8.

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Over the interval [3, 5], the local minimum is –8.

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