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2 years ago

Us mathematical symbols to write an inequality that compares -2 and -9

Mathematics

2 answers:

zimovet [89]2 years ago

6 0

Answer:

-2 > -9

-9 < -2

Step-by-step explanation:

Kaylis [27]2 years ago

5 0

<h3>Answer:</h3>

-2 > -9

<h3>Step-by-step explanation:</h3>

Inequalities represent values by comparing their size to other numbers.

Negative Numbers

While positive 9 might be larger than positive 2, remember that negative numbers work in the opposite way. -9 is more negative than -2, thus it is smaller. Another way to think about it is that -9 is further below 0 than -2.

Inequality Symbols

There are 2 main inequality symbol < (less than) and > (greater than). The symbol opens to the side of the larger number. Because we know that -2 is greater than -9, we can make the inequality -2 > -9.

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At least 96.00% of the data in any data set lie within how many standard deviations of the mean? Explain how you arrived at yo

zheka24 [161]

The answer assumes that the question is about the normal distribution.

Answer:

96% of the data in any data set normally distributed is 2.05 standard deviations above and below the mean.

Step-by-step explanation:

The key to solving this question is having into account that exists the standard normal distribution that permits obtaining any probability from any normally distributed data, doing the following transformation:

$\\ z = \frac{x-\mu}{\sigma}$

That is, in this case, we subtract a given value x from the population mean and then divide the result by the population standard deviation. This is a z-score, and this value is associated with the probability for a standard normal distribution, with a population mean = 0 and population standard deviation = 1.

Fortunately, for the standard normal distribution, there is associated a ubiquitous standard normal table for possible values of z and the corresponding probability. Then, knowing that the data are normally distributed and having both distribution parameters, namely, the population mean and population standard deviation, we can consult any standard normal table to find the probabilities for any data distributed following the normal distribution.

However, even without previously know the values of the normal parameters, the standard normal distribution can tell us how many standard deviations from the mean are 96.00% of the data for every normally distributed population.

<h3>Solving the question</h3>

Having all this information at hand, we know that the z-score value tells us how many standard deviations from the mean are the data normally distributed. As a result, we can determine how many standard deviations below and above the population mean represent the 96.00% of the cases for this normal distribution consulting a cumulative standard normal table from the mean.

If we divide 96.00/2 = 48, that is, 0.48, we need to find the z-score for this probability consulting a cumulative standard normal table from the mean. The values for a z-score for that probability is z=2.05, approximately. So, since the normal distribution is also symmetrical, those values are above and below the mean, that is, z =2.05 (above) and z=-2.05(below).

Thus, 96% of the data in any data set normally distributed is 2.05 standard deviations above and below the mean.

5 0

3 years ago

There are 15 pieces of the same size candy in a bag. Four are banana flavored, three strawberry flavored, six cherry flavored, a

salantis [7]

Answer:

0.5

Step-by-step explanation:

There are 15 pieces of the same size candy in the bag. Two are orange flavored, six cherry flavored. So the probability of picking an orange or a cherry flavored candy is 6/15+2/15=8/15≈0.5

4 0

3 years ago

samantha has 20 marbles paul has m marbles. Of samantha has 6 times as many marbles as paul, write an equation to show how many

Morgarella [4.7K]

Answer:

20 = 6m or m = 20/6 = 10/3

Step-by-step explanation:

Let's say Samantha has s marbles and Paul has m marbles.

We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.

Substitute 20 in for s:

20 = 6m

m = 20/6