Rectangle RSTU undergoes a dilation centered at the origin. The result is rectangle R'S'T'U'. Which rule describes the dilation?

Mathematics

2 answers:

Elena L [17]4 years ago

4 0

Answer:

The rule is as follows:

x'=5*x

y'=5*y

Step-by-step explanation:

Each coordinate gets scaled by a factor of 5.

For example:

R(-2,0) --> R'(-10,0) [-2-->5*(-2), 0-->0]

and similarly with the other points S, T, and U

Paul [167]4 years ago

4 0

Answer:

(x, y) → (5x, 5y)

Step-by-step explanation:

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Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 117 mg/dl and

TiliK225 [7]

Answer:

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

Step-by-step explanation:

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

Normal probability distribution

Problems of normally distributed samples are 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.

Central limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$