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Temka [501]
3 years ago
9

Write the quadratic function f(x) = x2 + 8x + 3 in vertex form.​

Mathematics
1 answer:
Stolb23 [73]3 years ago
6 0
F(x)=(x+4)2−13 i think this is the simplified of the perfect trinomial
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Find the value of..<br><br>​
Zina [86]

Step-by-step explanation:

[1/2]^-2= 4

[1/3]^-2=9

[1/4]^-2=16

So sum is 4+9+16=29

Hope this helps you.

6 0
2 years ago
Hello everyone if you could help me that would be awesome
Viktor [21]

I don’t think I can help you sorry
4 0
3 years ago
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What is the product of the rational expressions below
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What is the discriminant of the polynomial below
mr_godi [17]
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5 0
3 years ago
The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of
Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 4.84, \sigma = 0.05

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

Z = \frac{X - \mu}{\sigma}

1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*1.88

X = 4.934

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

Z = \frac{X - \mu}{\sigma}

-1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*(-1.88)

X = 4.746

8 0
2 years ago
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