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3 years ago

Which of the following statement is not true?

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

8 0

Answer:

integers are closed under division

Step-by-step explanation:

Integers are not closed under division.Let us consider two integers i and j.

Then $\frac{i}{j}$ need not necessarily be an integer. For example, 2 and 3 are integers but $\frac{2}{3}$ is not an integer. So the first option , namely, integers are closed under division is not true.

On the other hand, the remaining three options given are correct.

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Three and 2/3÷1 and 3/11

love history [14]

Answer:

3.93939394

rounded it would be 3.934

Step-by-step explanation:

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4 years ago

HELP ME PLEASE! Part A: If (7^2)x = 1, what is the value of x? Explain your answer. (5 points)

ArbitrLikvidat [17]

Answer:

x=1/49, x=1

Step-by-step explanation:

part a:

so if (7^2)=49, you are left with 49x=1. we have to use inverse operations to isolate the variable x. this means we have to divide by 49 on both sides since 49 is multiplied with x. so, you are left with 1/49. x=1/49.

part b:

so according to the zero property, if you raise any number to the power of 0, you get 1. therefore, we are left with 1x=1. we can simplify this to x=1, which is the answer!

i think this is what you're asking for, if i misunderstood please comment under my response!

4 0

4 years ago

5% of 120 <br>20% of 36 <br>75% of 680<br>35% of 480

BlackZzzverrR [31]

The answer is B and put the question next time

6 0

3 years ago

The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds prod

masya89 [10]

Answer:

a) 0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.

b) 0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.

c) 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean

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 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.

The collagen amount was found to be normally distributed with a mean of 65 and standard deviation of 7.7 grams per mililiter.

This means that $\mu = 65, \sigma = 7.7$

a. What is the probability that the amount of collagen is greater than 60 grams per.

This is 1 subtracted by the pvalue of Z when X = 60. So

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

$Z = \frac{60 - 65}{7.7}$

$Z = -0.65$

$Z = -0.65$ has a pvalue of 0.2578

0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.

b. What is the probability that the amount of collagen is less than 90 grams per.

This is the pvalue of Z when X = 90.

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

$Z = \frac{90 - 65}{7.7}$

$Z = 3.25$

$Z = 3.25$ has a pvalue of 0.9994

0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.

c. What percentage of compounds formed from the extract of this plant fall within 1 standard deviation of the mean?

Between Z = 1 and Z = -1, so the proportion is the pvalue of Z = 1 subtracted by the pvalue of Z = -1

Z = 1 has a pvalue of 0.8413

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826*100% = 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean

8 0

3 years ago

Please help with algebra question on empirical rule!!

liq [111]

Answer:

Step-by-step explanation:

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

3 0

3 years ago