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Mathematics

1 answer:

Usimov [2.4K]3 years ago

7 0

Answer:

p=11

Step-by-step explanation:

because the 2,3,6,8,4

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Find all of the critical points of p (t). p (t) = t 2 + 5t + 6.

svp [43]

Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.

To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:

p '(t) = 2t + 5 = 0

Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.

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The City Housing Authority has received 50 applications from qualified applicants for eight low-income apartments. Three of the

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The probability that both specific qualified applicants will be among the eight selected is given by:
$P(2\ specified)=\frac{2C2\times 48C6}{50C8}=0.0229$
The probability that the two will get apartments on the North side is given by:
$P(North)=\frac{3C2\times5C0}{8C2}=0.107$
The probability that the two will get apartments on the South side is given by:
$P(South)=\frac{5C2\times3C0}{8C2}=0.357$
The events '2 apartments on North side' and '2 apartments on South side' are mutually exclusive. Therefore the probability the two specific qualified applicants will be on the same side of town is 0.107 + 0.357 = 0.464.
Finally, the probability that two specific qualified applicants will be selected for apartments on the same side of town is found from:
$0.0229\times0.464=0.01063$

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