Answer:
no solution
Step-by-step explanation:
(you do the exact same you'd do in an equation problem. Get x by itself)
3x+1<2x-2<5x+7
1 < -x-2 < 5x+7
3< -x < 5x+9
3 < -6x < 9
-(1/2) > x > -(3/2)
x can't be bigger than -3 halves and be smaller than -1 half, so the answer is no solution
Answer= 1 million
For an approximation we don't use exact numbers. Seeing as Pennsylvania has a population of around 12.6 million and Ohio has a population near 11.5 million, there is about a difference of 1 million when comparing the populations.
Answer: partial correlation.
Explanation:
partial correlation measures the degree of association between two random variables, with the effect of a set of controlling random variables removed. If we are interested in finding to what extent there is a numerical relationship between two variables of interest, using their correlation coefficient will give misleading results if there is another, confounding, variable that is numerically related to both variables of interest. This misleading information can be avoided by controlling for the confounding variable, which is done by computing the partial correlation coefficient.
Answer:
x = 14.375
Step-by-step explanation:
Ok, so we know that a triangle has a total interior degree of 180°. And since we already have a 95° angle, we just need to subtract 95 from 180.
180° - 95° = 85°
Now, we already have indicators that two of the three sides are equal. And we already got the angle of the side that does not have a matching partner. So we just need to divide what we already have by 2.
85° / 2 = 42.5°
Now that we know each side is 42.5 degrees, we just need to grab our given equation and put and equal sign at the end with what we already know is the answer (since we are trying to solve for <em>x</em>).
(4x - 15) = 42.5
Now, let's just get rid of those useless parentheses.
4x - 15 = 42.5
Next, we just need to have the variable on its own side, all by itself. So, in order to do that, we just add 15 to both sides.
4x = 57.5
Now, for our final step, we just need to divide each side by our variables' factor (which is a positive 4). In which we get our final answer of:
x = 14.375
