Solve the inequality 3x>12 please help me !

Mathematics

2 answers:

adell [148]3 years ago

8 0

Answer:

A) x>4

Step-by-step explanation:

3x>12

Divide both sides by 3

x>4

anzhelika [568]3 years ago

6 0

Step-by-step explanation: When you are asked to solve an inequality like the one in this problem, your goal is the same as it is when solving equations which is to get <em>x</em> by itself on one side.

In this problem, since <em>x</em> is being multiplied by 3 on the left side of the inequality, to get <em>x</em> by itself, we divide both sides by 3.

On the left side, the 3's cancel and we're left with <em>x</em>. On the right side, 12 divided by 3 is 4 so we have X > 4.

This means that A would be or answer.

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The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims

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Answer:

Step-by-step explanation:

The mean SAT score is $\mu=600$ , we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it $\sigma$ ) is

$\sigma=48$

Next they draw a random sample of n=70 students, and they got a mean score (denoted by $\bar x$ ) of $\bar x=613$

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis $H_0:\bar x \geq \mu$

- The alternative would be then the opposite $H_0:\bar x < \mu$

The test statistic for this type of test takes the form

$t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}$

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

$t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\$

<h3>since 2.266>1.645 we can reject the null hypothesis.</h3>