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3 years ago

Y=5x+4 and 3x+2y=20 by using elimination

Mathematics

1 answer:

nikklg [1K]3 years ago

5 0

Answer:

Step-by-step explanation:

y = 5x + 4

-5x + y = 4 ----------------------(i)

3x + 2y = 20 --------------------(ii)

Multiply equation (i) by (-2)

(i)* (-2) 10x - 2y = -8

(ii) 3x + 2y = 20 { Now add this two equations}

13x = 12 { -2y and 2y got eliminated}

x = 12/13

Plug in value of x in (i)

-5*12/13 + y = 4

-60/13 + y = 4

y = 4 + 60/13

$y=\frac{4*13}{1*13}+\frac{60}{13}\\\\=\frac{52}{13}+\frac{60}{13}\\\\=\frac{112}{13}\\\\=8\frac{8}{13}y=$

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2 years ago

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.

Step-by-step explanation:

The random variable X 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, p = 0.74.

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

The probability mass function of X 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

Y=5x+4 and 3x+2y=20 by using elimination​

Y=5x+4 and 3x+2y=20 by using elimination