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atroni [7]
3 years ago
14

How can I solve the following system of equations: -4x + y= 6, -5x -y =21. I know I can cancel out but I don't know where or whe

re to go from there.
Mathematics
1 answer:
matrenka [14]3 years ago
7 0
-4x + y = 6
-5x - y = 21

add both of them
-9x = 27
x = -3

(-4*-3) + y = 6
-12 + y = 6
y = 18
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Answer:

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Step-by-step explanation:

Let <em>X</em> = number of sales made by the salesperson.

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P(X=x)={8\choose x}0.10^{x}(1-0.10)^{8-x};\ x=0,1,2,3...

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P(X=2)={8\choose 2}0.10^{2}(1-0.10)^{8-2}\\=28\times 0.01\times 0.5314\\=0.1488

Thus, the probability the salesperson will make exactly two sales in a day is 0.1488.

(b)

Compute the probability the salesperson will make at least two sales in a day as follows:

P (X ≥ 2) = 1 - P (X < 2)

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Thus, the probability the salesperson will make at least two sales in a day is 0.1869.

(c)

Compute the probability that a salesperson does not makes a sale is:

P(X=0)={8\choose 0}0.10^{0}(1-0.10)^{8-0}\\=8\times 1\times 0.4305\\=0.4305

The percentage of days the salesperson does not makes a sale is,

0.4305 × 100 = 43.05%

Thus, the percentage of days the salesperson does not makes a sale is 43.05%.

(d)

Compute the expected number of sales per day as follows:

E(X)=np=8\times 0.10=0.80

Thus, the expected number of sales per day is 0.80.

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Step-by-step explanation:

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