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Mathematics

1 answer:

sashaice [31]2 years ago

3 0

Answer:

Minimum = -1

Maximum = None

Step-by-step explanation:

The minimum is the lowest y value of a given function and the maximum is the highest y value. In this instance, the vertex is the minimum. This means the minimum value is -1. There is no maximum as the function seemingly increases forever.

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2 years ago

What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below?

Solnce55 [7]

P = 4x + 2y

additional info.
x+2y < 10
y < 2
x > 0
y > 0

y can only be 0, 1, and 2.

x + 2(0) < 10 = x < 10
x + 2(1) < 10 = x + 3 < 10 = x < 10 - 3 = x < 7
x + 2(2) < 10 = x + 4 < 10 = x < 10 - 4 = x < 6

x = 10 ; y = 0 : P = 4(10) + 2(0) = 40 + 0 = 40
x = 7 ; y = 1 : P = 4(7) + 2(1) = 28 + 2 = 30
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The maximum value of P is 40. Where x is 10 and y is 0.

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3 years ago

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natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$