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Usimov [2.4K]
3 years ago
9

#5 Find the distance between the points on the graph.

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer:

approximately 12.04 units

Step-by-step explanation:

We'll use the Pythagorean Theorem to solve this problem.

There are two points here.  The horizontal distance between them is 8 units and the vertical distance is 9.

According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is

d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.

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andreev551 [17]

Answer:

  Area = 630/11 cm² = 57 3/11 cm²

Step-by-step explanation:

  Area = (5 cm)(KN) = (6 cm)(KL)

  Perimeter = 2(KN +KL) = 42 cm

So, ...

  KN = 1.2·KL . . . . divide the area equation by 5 cm

  1.2·KL +KL = 21 cm . . . . . divide the perimeter equation by 2

  KL = (21 cm)/2.2 . . . . . . . divide by the coefficient of KL

Substituting for KL in the area equation, we have ...

  Area = (6 cm)(21 cm)/2.2 = 630/11 cm²

6 0
3 years ago
An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that th
just olya [345]

a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.

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b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.

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c) No, the sample is likely <u>not</u> representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.

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d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.

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Nata [24]

Answer:

7) b

8) b

9) a

10) d

11) a

12) a

Step-by-step explanation:

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Answer:

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Plot another sin function of 20% higher frequency over the same range.
Ostrovityanka [42]

Step-by-step explanation:

The frequency of sine function is given by the number of periods in a given range. For example:

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This means that, if we want another sine function with frequency 20% higher, we need that function to have a frequency of 1.2 in the interval [0,2\pi].

To be easier to see we will consider interval [0,10\pi] instead of [0,2\pi]. In this interval sin(x) has 5 periods, therefore our new sine function should have 6 periods.

Finally, as we can see in the graph, the function sin(\frac{6}{5}x ) (in blue) has a frequency 20% higher than sin(x) (in red). This can be easily seen counting the number of periods between 0 and 10\pi for both functions. 5 for sin(x) and 6 for sin(\frac{6}{5} x).

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