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Eddi Din [679]
3 years ago
9

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3? 3/7 7/3 10 21

Mathematics
2 answers:
Paha777 [63]3 years ago
8 0

Option D! which would be 21!

Elza [17]3 years ago
4 0
Hello there,

So by using the formula xy=k just plug in both x and y.

So this would be (7)(3)=k

Which means 21=k

Hope this helped!
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In order to answer, I would first need to know Jana's speed, not that she biked at a constant rate.

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What is the ordered pair solution for y>= 1/3x+4
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Answer:

Step-by-step explanation:

y > (1/3)x + 4 has an infinite number of solutions.  Draw a dashed line representing y = (1/3)x + 4 and then pick points at random on either side of this line.  For example, pick (1, 6).  Substitute 1 for x in y > (1/3)x + 4 and 6 for y.  Is the resulting inequality true?  Is 6 > (1/3)(1) + 4 true?  YES.  So we know that (1, 6) is a solution of y > (1/3)x + 4.  Because (1, 6) lies ABOVE the line y = (1/3)x + 4, we can conclude that all points abovve this line are solutions.

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3 years ago
Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul
IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: P(k) = \frac{\lambda^ke^{-k}}{k!} where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and \lambda = 7 into the formula:

P(k=7) = \frac{7^7e^{-7}}{7!}

P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

P(k\leq2) = P(k=0)+P(k=1)+P(k=2)

P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}

P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}

P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%

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