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aleksklad [387]
2 years ago
13

H=-16t^2+96t+4solve by factoring​

Mathematics
2 answers:
BigorU [14]2 years ago
8 0

Answer:

t = 3 ± ½√37

Step-by-step explanation:

0 = -16t² + 96t + 4

This isn't factorable, so complete the square or use quadratic formula.  Completing the square:

16t² − 96t = 4

t² − 6t = 1/4

t² − 6t + 9 = 1/4 + 9

(t − 3)² = 37/4

t − 3 = ±½√37

t = 3 ± ½√37

zlopas [31]2 years ago
4 0

Answer:

6 plus or minus square root of 37/2

Step-by-step explanation:

Is the quadratic formula allowed or no?

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Andru [333]

Answer:

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 0.10 inches

Given that the standard deviation of the population = 0.07inches

Let 'X' be a random variable in a normal distribution

Z = \frac{x-mean}{S.D} = \frac{0.11-0.10}{0.07} = 0.1428

<u><em>Step(ii):-</em></u>

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = P(Z≤0.1428)

               =  1-P(Z≥0.1428)

              =  1 - ( 0.5 +A(0.1428)

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<u><em>Final answer:-</em></u>

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = 0.4404

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