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Sergeeva-Olga [200]
3 years ago
6

-4x .- 9y = 1 -x + 2y = -4

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer: The answer for the first one is x=1/36y and the second one is

y=1/2x-2

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Call the parabola P, parameterized by \mathbf r(y)=\langle y^2+1,y\rangle with 0\le y\le 1\rangle. Then the work done by \mathbf f(x,y) along P is

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A recent survey by the New Statesman on British social attitudes asked respondents if they believe that inequality is too large.
Reika [66]

Answer:

(a) The probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.

(b) The probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.

(c) The probability that in a a sample of four British citizens none believe inequality is too large is 0.0046.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of British citizens who believe that inequality is too large.

The proportion of respondents who believe that inequality is too large is, <em>p</em> = 0.74.

Thus, the random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em> = 0.74.

The probability mass function of <em>X </em>is:

P(X=x)={n\choose x}\ 0.74^{x}(1-0.74)^{n-x};\ x=0,1,2,3...n

(a)

Compute the probability that in a a sample of six British citizens two believe inequality is too large as follows:

 P(X=2)={6\choose 2}\ 0.74^{2}(1-0.74)^{6-2}\\=15\times 0.5476\times 0.00456976\\=0.03753600864\\\approx 0.0375

Thus, the probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.

(b)

Compute the probability that in a a sample of six British citizens at least two believe inequality is too large as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

             =1-[{6\choose 0}\ 0.74^{0}(1-0.74)^{6-0}]-[{6\choose 1}\ 0.74^{1}(1-0.74)^{6-1}]\\\\=1-[1\times 1\times 0.000308915776]-[6\times 0.74\times 0.0011881376]\\\\=1-0.00031-0.0053\\\\=0.99439\\\\\approx 0.9944

Thus, the probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.

(c)

Compute the probability that in a a sample of four British citizens none believe inequality is too large as follows:

 P(X=0)={4\choose 0}\ 0.74^{0}(1-0.74)^{4-0}\\=1\times 1\times 0.00456976\\=0.00456976\\\approx 0.0046

Thus, the probability that in a a sample of four British citizens none believe inequality is too large is 0.0046.

8 0
3 years ago
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