Answer:
The answer should be m < -2.5
Step-by-step explanation:
I was taught this before and my teacher always said if its a open circle then its > or < if its a closed circle then it should have the line under it, and the line is going down so it would be Less than sign
The opposite of a number-also known as the additive inverse-is the number that is the same distance from 0 on a number line. For example, the opposite of 3 is -3 because -3 is the same distance away from 0 as 3 is.
The absolute value of a number represents the distance between 0 and the number on the number line. For example, the absolute value of -4 is 4. Also, when a question asks for the absolute value of a positive number, like 4, the absolute value is still positive(or 4 in this case).
hope it helps!
Answer:
<em>The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)</em>
Step-by-step explanation:
<u>Distance Between Points in the Plane
</u>
Given two points A(x,y) and B(w,z), the distance between them is:
It can be also expressed as:
Substituting the values of both points, and knowing the distance is 10:
Swapping both sides:
Moving the constants to the right side:
Taking the square root:
We get two possible answers:
Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)
Answer:
See below
Step-by-step explanation:
Let and be the average age of population 1 (men) and 2 (women) respectively.
The correct hypothesis would be
<u>Null Hypothesis</u>
<u>Alternative Hypothesis</u>
It is worth noticing that in order to be able to make the hypothesis test it is necessary to know:
- The approximate data distribution of ages from population 1 and 2 (which is oftentimes a Normal distribution in these kind of sociological studies)
- The standard deviation of population 1 and 2. Since this is almost always impossible to determine in very large populations, then an estimation of the standard deviation together with the sample size used to determine it is required.
- The level of confidence required to asses the hypothesis. The most common ones are 90%, 95%and 99%