<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
Answer:
The degrees of freedom associated with the critical value is 25.
Step-by-step explanation:
The number of values in the final calculation of a statistic that are free to vary is referred to as the degrees of freedom. That is, it is the number of independent ways by which a dynamic system can move, without disrupting any constraint imposed on it.
The degrees of freedom for the t-distribution is obtained by substituting the values of n1 and n2 in the degrees of freedom formula.
Degrees of freedom, df = n1+n2−2
= 15+12−2=27−2=25
Therefore, the degrees of freedom associated with the critical value is 25.
Put in order from smallest to largest
–9, –4, –1, 2, 3, 5, 7
Minimum = –9<span>
Maximum = 7
</span>Range = 7 - (-9) = 7 + 9 = 16
Range = the difference between the maximum and minimum data values
hope it helps
We know that a triangle has three sides, all the same length (its equilateral, after all)
The equation to find the length of each side is
Perimeter divided by 3
or in this case
48.6 divided by 3=16.2cm (don't forget the unit)
Hope that helps :)
If Josie bought a mirror with 5 sides it would be a pentagon
