Plot on graph.

Mathematics

1 answer:

Rus_ich [418]3 years ago

7 0

This equation is in vertex form so finding the vertex is easy.

Vertex: (-1,4)

Once you find the vertex, axis of symmetry is easy.

x=-1

Then find y intercept by finding h(0).

h(0)=(0+1)^2-4=-3

Now find x intercepts by solving for x when h(x)=0.

(x+1)^2-4=0

(x+1)^2=4

x+1=±2

x=±2-1

x=1,-3

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Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that $\mu = 116, \sigma = 5.4$