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pentagon [3]
3 years ago
12

Find the vertex of the function f(x) = x2 - 8x + 15.

Mathematics
1 answer:
defon3 years ago
7 0

Answer: (4, -1)

Step-by-step explanation: You have to rewrite in vertex form and use the form to find the vertex

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A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.0
Agata [3.3K]

Answer:

Approximately 68%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1, standard deviation = 0.05.

Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.

0.95 = 1 - 0.05

1.05 = 1 + 0.05

So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.

5 0
3 years ago
Solve for e.<br> 9e+4=-5e+14+13e9e+4=−5e+14+13e<br> e=
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Answer:

e = 10

Step-by-step explanation:

9e+4=-5e+14+13e

Combine like terms

9e+4=14+8e

Subtract 8e from both sides

9e-8e+4=8e-8e +14

e +4 = 14

Subtract 4 from each side

e+4-4 = 14-4

e = 10

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