Write the expression for when you translate the graph of y=|x|-5 one unit to the right

Mathematics

2 answers:

Tanya [424]2 years ago

8 0

Answer:

y = |x-1| - 5

Step-by-step explanation:

To shift the graph to the right, you need to subtract from the inside of the absolute value sign.

Vika [28.1K]2 years ago

7 0

Answer:

y=|x-5|-5

Step-by-step explanation:

the -5 inside the absolute value determines whether it is left or right, so we need to subtract five to move five to the right. Ok, so i'm pretty sure this is really confusing trust me i think it's correct

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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o

Mumz [18]

Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .