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3 years ago

10

Select the correct answer. Which of these numbers are 11 units from 0 on the number line? A: 0 B: +11 C: -11 A. A and B B. A and

C C. B and C D. C only

1 answer:

astra-53 [7]3 years ago

3 0

B and c they are both 11 units of absolute value away from zero

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From the statement you can find the function that represents the percent of strontium-90 that remains after t years of the nuclear accident.

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Now you can also estimate the half-life of the isotope strontium-90:

Call Pi the initial percent and P2 the half percent:

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Answer:

The level is L = 0.084

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 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.

Central limit theorem:

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

In this problem, we have that:

$\mu = 0.08, \sigma = 0.01, n = 36, s = \frac{0.01}{\sqrt{36}} = 0.0017$

What is the level L such that the probability that the average NOX level x for the fleet is greater than L is only 0.01?

This is X when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.325.

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By the Central limit theorem

$Z = \frac{X - \mu}{s}$

$2.325 = \frac{X - 0.08}{0.0017}$

$X - 0.08 = 2.325*0.0017$

$X = 0.084$

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