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vredina [299]
3 years ago
13

The graph of function f is shown below.

Mathematics
2 answers:
AysviL [449]3 years ago
5 0

Answer:

The axis of symmetry of function f is x =  -2 . The axis of symmetry of function g is x = 2

Step-by-step explanation:

The graph of the function f is given below

Vertex of the graph of function f is (-2,7)

Axis of symmetry at x=-2

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

Vertex is (2,-4)

Axis of symmetry lies at the x coordinate of vertex

Axis of symmetry at x=2

The axis of symmetry of function f is x =  -2 . The axis of symmetry of function g is x = 2

d1i1m1o1n [39]3 years ago
4 0

Answer:

Step-by-step explanation:

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

The axis of symmetry comes from that "(x - 2)."  It is x = +2.

The axis of symm. of f(x) is discernable in the diagram; that axis of symmetry is x = -2.

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The thumb length of fully grown females of a certain type of frog is normally distributed with a mean of 8.59 mm and a standard
PilotLPTM [1.2K]

Answer:

21.77% probability that a randomly selected frog of this type has thumb length longer than 9.08 mm.

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 = 8.59, \sigma = 0.63

Calculate the probability that a randomly selected frog of this type has thumb length longer than 9.08 mm.

This is 1 subtracted by the pvalue of Z when X = 9.08. So

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

Z = \frac{9.08 - 8.59}{0.63}

Z = 0.78

Z = 0.78 has a pvalue of 0.7823

1 - 0.7823 = 0.2177

21.77% probability that a randomly selected frog of this type has thumb length longer than 9.08 mm.

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3 years ago
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Answer:

37.5 %

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137.5% - 100% = 37.5%

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