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Ede4ka [16]
3 years ago
11

Seventy-six people were asked what their favorite meal of the day is. Twenty-eight said lunch was their favorite meal of the day

. Thirty-three said dinner was their favorite meal of the day. Eighteen women said their favorite meal of the day was lunch. Nineteen men said their favorite meal of the day was dinner. Thirty-six of the people who were asked are women.
Mathematics
2 answers:
Anni [7]3 years ago
8 0

Answer:

Step-by-step explanation:

so whats your question?

Reika [66]3 years ago
5 0

Answer:Hi! Sorry for the late answer!

11 | 4 | 15

10 | 18 | 28

19 | 14 | 33

40 | 36 | 76

All you need to do is simple subtraction, and pay attention to what the question gives you.

Step-by-step explanation:

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2 years ago
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.9 per year. a. Find t
VLD [36.1K]

Answer:

a) 9.52% probability​ that, in a​ year, there will be 4 hurricanes.

b) 4.284 years are expected to have 4 ​hurricanes.

c) The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

6.9 per year.

This means that \mu = 6.9

a. Find the probability​ that, in a​ year, there will be 4 hurricanes.

This is P(X = 4).

So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-6.9}*(6.9)^{4}}{(4)!}

P(X = 4) = 0.0952

9.52% probability​ that, in a​ year, there will be 4 hurricanes.

b. In a 45​-year ​period, how many years are expected to have 4 ​hurricanes?

For each year, the probability is 0.0952.

Multiplying by 45

45*0.0952 = 4.284.

4.284 years are expected to have 4 ​hurricanes.

c. How does the result from part​ (b) compare to a recent period of 45 years in which 4 years had 4 ​hurricanes? Does the Poisson distribution work well​ here?

The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

5 0
2 years ago
What is the equation of the exponential graph shown?
Evgesh-ka [11]

Answer:

  • f(x) = 100*(1/2)ˣ

Step-by-step explanation:

<u>Exponential function is:</u>

  • f(x) = a*bˣ

<u>Use two points on the graph to determine the value of a and b:</u>

  • (0, 100), (1, 50)

<u>Find the values of a and b:</u>

  • f(0) = a*b⁰ = a = 100
  • f(1) = a*b¹ = ab = 100b = 50 ⇒ b = 50/100 = 1/2

<u>The function is:</u>

  • f(x) = 100*(1/2)ˣ
7 0
2 years ago
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