What is the inverse of H(x)=1/2x+3

Mathematics

2 answers:

storchak [24]3 years ago

6 0

Answer:

x=-6

Step-by-step explanation:

dalvyx [7]3 years ago

4 0

Answer:

$h^{-1}$ (x) = 2x - 6

Step-by-step explanation:

let y = h(x) and rearrange making x the subject

y = $\frac{1}{2}$ x + 3 ( multiply through by 2 to clear the fraction )

2y = x + 6 ( subtract 6 from both sides )

2y - 6 = x

Change y back into terms of x with x = $h^{-1}$ (x)

$h^{-1}$ (x) = 2x - 6

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The 90th percentile of the distribution is 6.512 ml.

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.

Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.

This means that $\mu = 6, \sigma = 0.4$