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Scrat [10]
3 years ago
6

If g(x) = 4(x - 2)2 - 4, complete the following statements.

Mathematics
2 answers:
Digiron [165]3 years ago
7 0

Answer:

x = 10

Step-by-step explanation:

Please, use " ^ " to denote exponentiation:    g(x) = 4(x - 2)^2 - 4

The vertex is located at (2, -4) which numbers come directly from the '2' in (x - 2) and the "-4" at the end of the equation.

Where is the function f(x) that you mentioned?

The axis of symmetry here is the vertical line that passes through the vertex.  Its equation is x = 10.

mafiozo [28]3 years ago
6 0

Answer:

So x=2 is the axis of symmetry for function g

Step-by-step explanation:

g(x) = 4(x - 2)^2 - 4

This is in the form

g(x) = a(x-h)^2 + k

Where (h,k) is the vertex

h is also the axis of symmetry

(2,-4) is the vertex

So x=2 is the axis of symmetry for function g

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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
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Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 2.5 feet and a standard deviation of 0.2 feet.

This means that \mu = 2.5, \sigma = 0.2

Sample of 41

This means that n = 41, s = \frac{0.2}{\sqrt{41}}

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This is the p-value of Z when X = 2.2 So

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

By the Central Limit Theorem

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

Z = \frac{2.2 - 2.5}{\frac{0.2}{\sqrt{41}}}

Z = -9.6

Z = -9.6 has a p-value of 0.

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