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skad [1K]
3 years ago
8

Sketch a possible curve of f(x) given the graphs of f ‘ (x) and f’’ (x) below:

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Step-by-step explanation:

Graph 1 is a parabola and has 2 x points and a turning point

meaning it has a minimum and a maximum point.

conclave points are the highs and lows, once you show this in table then you can interpreted them on a graph see the examples attached.

Graph 1 is opposite to shown interpreted conclave so instead of --c++

we write  + + c - - and draw on quadrant 1 instead of quadrant 3

graph 2 is decreasing so instead of -+ c then + + it would show + -  c then - - so the curve stays in quadrant 3 and 4. Also where c is we draw a 0 and say whether it is minimum or maximum point.

Both graph 1 and 2 demonstrate minimum points for their f(x) for c.

so in your workings within the table you write min as seen in red within the attachment. They wrote max, but you write min as you are in decreasing conclave fx values that reach min point c then they increase and become parabolas.

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Consider the probability that greater than 96 out of 153 DVDs will work correctly. Assume the probability that a given DVD will
ICE Princess25 [194]

Answer:

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 153, p = 0.62

So

\mu = E(X) = np = 153*0.62 = 94.86

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.62*0.38} = 6

Probability that greater than 96 out of 153 DVDs will work correctly.

97 or more DVDs, which is 1 subtracted by the pvalue of Z when X = 97. So

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

Z = \frac{97 - 94.86}{6}

Z = 0.36

Z = 0.36 has a pvalue of 0.6406

1 - 0.6406 = 0.3594

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

3 0
3 years ago
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vlada-n [284]

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Step-by-step explanation:

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Zielflug [23.3K]

Answer:

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Step-by-step explanation:

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3 years ago
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masya89 [10]

Answer:

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Step-by-step explanation:

Using the recursive formula to generate the terms, that is

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