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Vilka [71]
2 years ago
9

Ratna , who is in Mumbai , telephones her brother Ravi in Ahmedabad and speaks for 89 seconds . She is charged Rs 1.20 for every

16 seconds or part of 16 seconds . There is also a service charge of Rs 2 / - . Study the bill carefully . How much will it cost Ratna if she speaks to Ravi for 3 minutes ?
A) 14.40
B) 16.40
C) 18.40
D) 20.40

Please give explanation of your answer , please .
Mathematics
1 answer:
blondinia [14]2 years ago
7 0

Answer:

16.40

Step-by-step explanation:

3 min-> 180 s

180÷16≈11

11+1=12

12x1.20=14.40

14.40 + 2 = 16.40

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The data in this question will be utilized for the next three questions. The number of pets a group of students have are given b
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Question

The data in this question will be utilized for the next three questions. The number of pets a group of students has, are given below.

Number of pets:        0-2    2-4   4-6   6-8   8-10   10-12    12-14

Number of students:  1        2      1        5       6         2           3

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Answer:

(1) \bar x = 8.1

(2) \sigma^2 = 6.341

(3) \sigma = 2.518

Step-by-step explanation:

Given

The above data

First, we calculate the class midpoint (x)

Pets:  0-2    2-4   4-6   6-8   8-10   10-12    12-14

x           1           3          5       7           9          11          13

f:           1            2         1        5           6         2           3

The class midpoint (x) is calculated by the average of each group.

For pets: 0 - 2.

x = \frac{0 + 2}{2}= \frac{2}{2} = 1

The same is done for other groups.

Solving (a): Mean

\bar x = \frac{\sum fx}{\sum f}

This gives:

\bar x = \frac{1 * 1 + 3 * 2 + 5 * 1 + 7 * 5 + 9 * 6 + 11 * 2 + 13 * 3}{1 + 2 + 1 + 5 + 6 + 2 + 3}

\bar x = \frac{162}{20}

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Solving (b): Sample Variance

This is calculated as:

\sigma^2 = \frac{\sum(x_i - \bar x)^2}{\sum f - 1}

So:

\sigma^2 = \frac{(1 - 8.1)^2+(3 - 8.1)^2+(5 - 8.1)^2+(7 - 8.1)^2+(9 - 8.1)^2+(11 - 8.1)^2+(13 - 8.1)^2}{20 - 1}

\sigma^2 = \frac{120.47}{19}

\sigma^2 = 6.341

Solving (c): The sample standard deviation

This is calculated as:

\sigma = \sqrt{\sigma^2

\sigma = \sqrt{6.341

\sigma = 2.518

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Answer: 10

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