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Alexeev081 [22]
3 years ago
15

Which one of the following is not closed under the operation being performed

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0
Remember that polynomials are closed under addition, subtraction, and multiplication, but they are not closed under division. The only division you have there is B; therefore the correct answer is B.

A. (14x-2)3(x-2)=14 x^{2} -90x+10. The result is still a polynomial; therefore, answer A is incorrect.

B. \frac{(14x-2)}{3(x-2)} =  \frac{14}{3} with a remainder of 26. The result is not a polynomial anymore; therefore, B is the correct answer.

C. (14x-2)+3(x+2)=17x+4. The result is still a polynomial; therefore, answer C is incorrect.

D. (14x-2)+3(x+2)=17x+4. The result is still a polynomial; therefore, answer D is incorrect.
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Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are
Sergeu [11.5K]

Answer:

D. 0.9938.

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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 115 and a standard deviation of 8.

This means that \mu = 115, \sigma = 8

100 people are randomly selected

This means that n = 100, s = \frac{8}{\sqrt{100}} = 0.8

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

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

Z = \frac{117 - 115}{0.8}

Z = 2.5

Z = 2.5 has a p-value of 0.9938, and thus, the correct answer is given by option D.

8 0
3 years ago
How many feet is 20% of 4 miles
Nataliya [291]
1 mile=5280 feet
4 miles=21120 feet

21120×20÷100=4224. As a result, 20% of 4 miles is 4224 feet. Hope it help!
3 0
3 years ago
Read 2 more answers
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