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3 years ago

In which set are all of the numbers solutions to the inequality x < -3?

1 answer:

6 0

Don’t you just love inequalities? Of course I can only hear you saying “not really…inequalities stink!” Well I know you may not like inequalities but you need to know how to work with them. All right let me stress some points:

* the solution to an inequality is more than a single number; inequalities have solution sets (many/infinite number of solutions). As an example lets consider the inequality x > 5 what can the value of x be? i.e. what numbers are greater than 5? clearly an infinite amount of numbers are greater than 5 so we need to express the solutions to inequalities in a different way other than writing out all the numbers greater than 5 – that would take a lot of paper and with global warming….you get the idea. So to deal with this little issue we graph the solution of an inequality on a number line.

other important points:

* we simplify inequalities using the same steps as solving equations

* when dividing/multiplying both sides of an inequality by a negative number you need to reverse the inequality symbol; example > would turn into < .

* when graphing your solution <, > symbols use open circles; <=, >= symbols fill in the circle.

* make sure you can solve linear equations before taking on inequalities- good luck and may the force be with you!!

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Order the numbers from least to greatest<br> √99 , 2 , 9.8

spin [16.1K]

Answer:

2, 9.8, $\sqrt{99}$

Step-by-step explanation:

The decimal form of $\sqrt{99}$ is 9.949

3 0

3 years ago

Read 2 more answers

You intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis tes

Gre4nikov [31]

Answer:

The correct order is :

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

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3 years ago

All things algebra unit 7 homework 6 questions 7 and 8

maxonik [38]

3/3 the answer but i have to ask a question so please give this a good rating or something

6 0

3 years ago

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars

velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

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 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 sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .