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balandron [24]
3 years ago
12

A park ranger observed the number and ages of children who visited the park on a Friday morning. The results of his observations

are in the chart. How many children between the ages of 9 and 15 visited the park?

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0
ANSWER

The number of children between the ages of 9 and 15 who visited the park is
20


EXPLANATION


The number of children between the ages of 9 and 15 who visited the park are those within the age group 9 to 12 and 12 to 15.


We can from the graph that, the height of the bar that corresponds to the age group 9 to 12

= 14
and the height of the bar that corresponds to the age group 12 to 15

= 6


The sum of the two frequencies

= 14 + 6 = 20
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8 0
3 years ago
When p = 12, t = 2, and s = One-sixth, r = 18. If r varies directly with p and inversely with the product of s and t, what is th
bagirrra123 [75]

Answer:

k = \frac{1}{2}

Step-by-step explanation:

Given

p = 12

t = 2

s = \frac{1}{6}

r = 18

r\ \alpha\ p\ * \frac{1}{s * t}

Required

Find the constant of variation

From the question, the variation is as follows

r\ \alpha\ p\ * \frac{1}{s * t}

r\ \alpha\ \frac{p * 1}{s * t}

r\ \alpha\ \frac{p}{s * t}

Convert variation to equation

r\ = k\frac{p}{s * t}

Where k represents the constant of variation

Make k the subject of formula;

Multiply both sides by s * t

r * s * t = k\frac{p}{s * t} * s * t

r * s * t = kp

Divide both sides by p

\frac{r * s * t}{p} = \frac{kp}{p}

\frac{r * s * t}{p} = k

k = \frac{r * s * t}{p}

Substitute the values of p, r, s and t in the above equation

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Divide numerator and denominator by 6

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Hence, the constant of variation is; k = \frac{1}{2}

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