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3 years ago

Q: A is 8km due north of phone mast B. C is 9.5km due west of phone mast B. Calculate the distance AC

Mathematics

1 answer:

Evgen [1.6K]3 years ago

7 0

Answer:

AC = 12.4 km (nearest tenth)

Step-by-step explanation:

AC can be calculated by using Pythagorean Theorem.

Thus:

AC² = AB² + BC²

Plug in the values

AC² = 8² + 9.5²

AC + √{154.25)

AC = 12.4 km (nearest tenth)

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4 years ago

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Answer:

i) 0.872

ii) 0.300

iii) 0.76

iv) 0.704

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $261.50 per month

Standard Deviation, σ = $16.25

We are given that the distribution of monthly food cost for a 14- to 18-year-old male is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

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$P(x < 280) = 0.872 = 87.2\%$

b) P(More than $270)

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Calculation the value from standard normal z table, we have,

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c) P(More than $250)

P(x > 250)

$P( x > 250) = P( z > \displaystyle\frac{250 - 261.50}{16.25}) = P(z > -0.707)$

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e) Thus, 0.704 is the probability that the monthly food cost for a randomly selected 14- to 18-year-old male is between $240 and $275.

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3 years ago

A truck enters a highway at 60 mph. A car enters the highway at the same place 11 minutes later and drives 74 mph in the same di

Crank

Answer:

Since speed is given in terms of "hours" we must convert 9 minutes to hours:

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then

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Step-by-step explanation:

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3 years ago

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kondaur [170]

Answer:

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Step-by-step explanation:

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