QUESTION 29 Write the equation of the function.

Mathematics

1 answer:

sweet [91]3 years ago

3 0

Answer:

y = 2 -√(x+1)

Step-by-step explanation:

The square root function is reflected across the x-axis and shifted 1 unit to the left and 2 units up.

y = -√x . . . . . reflects the function across the x-axis

y = -√(x+1) . . . shifts the reflected function 1 unit to the left

y = 2 -√(x +1) . . . shifts the above function 2 units up

The graph is of the equation y = 2 -√(x+1).

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In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin

denpristay [2]

Answer:

a) $Z = -0.8$

b) $Z = 2.4$

c) Mary's score was 241.25.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 210, \sigma = 25$