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Citrus2011 [14]
3 years ago
10

If the monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be distributed as

a normal distribution with mean equal to $87.00 a month and standard deviation of $36.00, which of the following would be the largest individual customer bill that you might expect to find?A) About $195.00B) Approximately $811.00C) Nearly $123.00D) There is no way to determine this without more information
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0

Answer:

A) About $195.00

Step-by-step explanation:

In a normal distribution, the interval (mean - 3*standard deviation, mean + 3*standard deviation) account for about 99.7% of the values. In this case mean + 3*standard deviation = $87.00 + 3*$36.00 = $195.00. So, it 's expected that this amount of money would be the largest individual customer bill.

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Consider the polynomial p(x) = x^3 + 4x^2 + 6x − 36.
Nady [450]

Answer:

a. attached graph; zero real: 2

b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 |  1     4     6    -36

     1      6    18     0

x² + 6x + 18 = 0

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√Δ = 6i

x = -6±6i/2 = 2(-3±3i)/2

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c. the solutions are 2, -3-3i and -3+3i

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3 years ago
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