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Finger [1]
3 years ago
11

8y - 1 = x 3x = 2y Solve the system of equations by substitution. (1/33, 1/11) (1/11, 3/22) no solution coincident

Mathematics
1 answer:
Len [333]3 years ago
3 0
Hello!

8y - 1 = x
3x = 2y

Put what x equals in the first equation in place of x in the second equatoin

3(8y - 1) = 2y

Distribute the 3

24y - 3 = 2y

Subtract 24y from both sides

-3 = -22y

Divide both sides by -22

y = 3/22

Now we put y into the first equation

8(3/22) - 1 = x

Multiply

12/11 - 1 = x

Subtract

1/11 = x

The answer is (1/11, 3/22)

Hope this helps!
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The probability that a single radar set will detect an enemy plane is 0.9. if we have five radar sets, what is the probability that exactly four sets will detect the plane?

Solution: The given random experiment follows binomial distribution with p=0.9,n=5

Let x be the number of radar sets that will detect the plane.

We have to find P(x=4)

P(x=4)=\binom{5}{4}0.9^{4}(1-0.9)^{5-4}      

               =5\times 0.6561 \times 0.1

               =0.3281

Therefore, the probability that exactly four sets will detect the plane is 0.3281

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Step-by-step explanation:

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Algebra help - asymptotes
motikmotik

Find where the equation is undefined ( when the denominator is equal to 0.

Since they say x = 5, replace x in the equation see which ones equal o:

5-5 = 0


So we know the denominator has to be (x-5), this now narrows it down to the first two answers.


To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.


In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)

so the degrees would be equal.

Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.


This makes the first choice the correct answer.

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3 years ago
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