Solve for x. Show your work. -1/2x <-12

Mathematics

2 answers:

Juli2301 [7.4K]2 years ago

8 0

Answer:

$24$

Step-by-step explanation:

Multiply both sides of the inequality by -2 qnd flip the inequality sign:

$- 2 \times ( - \frac{1}{2} )x > - 2x( - 12)$

Multiply an even number of negative terms make the product positive:

$2 \times \frac{1}{2} x > -2 \times ( - 12)$

Reduce the number with the greatest common factor 2:

$x > - 2 \times ( - 12)$

Multiply two negatives equal a positive: ( - ) × ( - ) = ( + ).

Multiply the number:

$x > 2 \times 12$

$= 24$

vitfil [10]2 years ago

5 0

Answer:

$x>24$

Step-by-step explanation:

First, let's re-write it multiplied by -2 on each side, the denominator will disappear and we'll have our x positive:

$x>24$

Remember: if you multiply a inequality for a negative number, change the sign to its opposite, for example the < become the >

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A researcher obtains t = 2.35 for a repeated-measures study using a sample of n = 8 participants. Based on this t value, what is

ZanzabumX [31]

Answer:

$p_v =2*P(t_{7}>2.35)=2*0.0255=0.051$

If we compare the p value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.

Step-by-step explanation:

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level is not provided but we can assume it as $\alpha=0.05$ . First we need to calculate the degrees of freedom like this:

$df=n-1=8-1=7$