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2 years ago

12

PLEASE HELP I WILL MARK BRAINLIEST!!!!

1 answer:

sesenic [268]2 years ago

7 0

Answer:

$x=2, y=4$

or

$(2,4)$

Step-by-step explanation:

1. Rewrite as:

$x+3x-2=6\\y=3x-2$

2. Simplify the left side.

$4x-2=6\\y=3x-2$

3. Add 2 to both sides of the equation.

$4x=8\\y=3x-2$

4. Replace all occurrences of x with 2 in each equation.

$y=4\\x=2\\(2,4)$

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4 years ago

The expected number of typographical errors on a page of a certain magazine is .2. What is the probability that an article of 10

Pavel [41]

Answer:

a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

Step-by-step explanation:

Given : The expected number of typographical errors on a page of a certain magazine is 0.2.

To find : What is the probability that an article of 10 pages contains

(a) 0 and (b) 2 or more typographical errors?

Solution :

Applying Poisson distribution,

$N\sim Pois(0.2)$

$P(N=r)=\frac{e^{-np}(np)^r}{r!}$

where, n is the number of words in a page

and p is the probability of every word with typographical errors.

Here, n=10 and E(N)=np=0.2

a) The probability that an article of 10 pages contains 0 typographical errors.

Substitute r=0 in formula,

$P(N=0)=\frac{e^{-0.2}(0.2)^0}{0!}$

$P(N=0)=\frac{e^{-0.2}}{1}$

$P(N=0)=e^{-0.2}$

$P(N=0)=0.8187$

The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors.

Substitute $r\geq 2$ in formula,

$P(N\geq 2)=1-P(N$

$P(N\geq 2)=1-[P(N=0)+P(N=1)]$

$P(N\geq 2)=1-[\frac{e^{-0.2}(0.2)^0}{0!}+\frac{e^{-0.2}(0.2)^1}{1!}]$

$P(N\geq 2)=1-[e^{-0.2}+e^{-0.2}(0.2)]$

$P(N\geq 2)=1-[0.8187+0.1637]$

$P(N\geq 2)=1-0.9825$

$P(N\geq 2)=0.0175$

The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

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3 years ago

Select the graph of the solution. Click until the correct graph appears. 4x - 1 < 7

GaryK [48]

This graph shows the solution on a Cartesian plane.

Likely your graph is a solution on a number line. It will have an open circle at x=2, and an arrow pointing to the left from that point.

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3 years ago

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Damm [24]

Answer:

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3 years ago