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Rina8888 [55]
3 years ago
13

Please answer before Monday 9 a.m.I have to go to school that day at that time.

Mathematics
1 answer:
xeze [42]3 years ago
6 0

Answer:

  • <u>First choice, 984 cm²</u>

Explanation:

The plastic pencil case has form of a triangular prism.

This triangular prism has five faces:

  • Top and bottom faces: two congruent triangles with a 10 cm base and 12 cm height.

  • Lateral faces: two congruent rectangles with a 24 cm length and 13 cm widht, and one rectangle with 24 cm length and 10 cm widht.

<u>Surface area:</u>

  • <u>Top and bottom triangles</u>:

        area = (1/2) base × height

         area of one triangle = 10 cm × 12 cm × (1/2) = 60 cm²

          area of the two triangles = 2 × 60 cm² = 120 cm²

  • <u>Lateral rectangles:</u>

        area of a rectangle = length × width

         area of the trhee triangles = 24 cm × 10 cm + 2 × 24 cm × 13 cm = 240 cm² + 624 cm² = 864 cm².

  • <u>Total area: </u>120 cm² + 864 cm² = 984 cm²

Answer: first choice, 984 cm²

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(c) Given that a respondent from age 12~50 is selected, what is the probability that the respondent believe email messages shoul
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Question Completion:

Do people of different age groups differ in their response to email messages? A survey reported that 71.3% of users over 70 years of age believe that email messages should be answered quickly, as compared to 52.5% of users 12 to 50 years old. Suppose that the survey was based on 1, 000 users over 70 years of age and 1, 000 users 13 to 50 years old. The table summarizes the results.

          Answers Emails Quickly

Age         12 - 50     Over 70         Total

Yes          525             713             1,238

No            475            287               762

Total     1,000          1,000           2,000

Given that a respondent from age 12 to 50 is selected, what is the probability that the respondent believes that email messages should be answered quickly?

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The probability that the respondent, aged 12 to 50, believes that email messages should be answered quickly is:

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Step-by-step explanation:

Data and Calculations:

          Answers Emails Quickly

Age         12 - 50     Over 70         Total

Yes          525             713             1,238

No            475            287               762

Total     1,000          1,000           2,000

Aged 12 - 50:

Probability of answering emails quickly = Yes/Total = 525/1,000 * 100 = 52.5%

Probability of not answering emails quickly = No/Total = 475/1,000 * 100 = 47.5%

Aged over 70:

Probability of answering emails quickly = Yes/Total = 713/1,000 * 100 = 71.3%

Probability of not answering emails quickly = No/Total = 287/1,000 * 100 = 28.7%

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