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Andrew [12]
2 years ago
9

Solve the equation using elimination. Write your answer as an ordered pair.

Mathematics
1 answer:
IgorLugansk [536]2 years ago
6 0

Answer:

(-3, 1).

Step-by-step explanation:

2x + 7y =  1        -------------(A)

x + 5y  =  2       Multiply this by -2:

-2x - 10y = -4    Add this equation to equation (A):

0 - 3y = -3

3y = 3

y = 1.

Substitute this in equation (A):

2x + 7(1) = 1

2x = -6

x = -3.

Check if these 2 values are correct in the second equation:

-3 + 5(1) = 2

2 = 2.

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1 year ago
Question Help A manufacturer ships toasters in cartons of 1010. In each​ carton, they estimate a 1010​% chance that any one of t
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Answer:

The probability that there will be repair exactly 3 toaster is 0.0574.

Step-by-step explanation:

Binomial Distribution:

A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,

P(X=x)=C(n,x)p^x(1-p)^{n-x}    x=0,1,2,......,n

               =0                                   elsewhere

where 0<p<1 and n is a positive integer.

Total number of toaster in cartons(n) = 10.

Probability of number of success on an individual trial p= 10% = 0.10

\therefore P(X=3)= C(10,3)(0.10)^3(1-0.10)^{10-3}

                    =\frac{10!}{3!(10-3)!}(0.10)^3)(0.90)^7

                    =0.0574

The probability that there will be repair exactly 3 toaster is 0.0574.

6 0
3 years ago
Find the interest<br> earned:<br> $26,000 for 36 months<br> at 7.5% annual<br> compound interest
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Answer:

Interest = $6,300 (Approx.)

Step-by-step explanation:

Given:

Amount deposit (P) = $26,000

Number of month = 36 month

Number of year (n) = 36 / 12 = 3 year

Rate of interest (r) = 7.5% = 0.075  

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Interest  earned

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Interest = p[(1+r)ⁿ-1]

Interest = 26,000[(1+0.075)³-1]

Interest = 26,000[(1.075)³-1]

Interest = 6,299.71

Interest = $6,300 (Approx.)

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