Answer:
20/18
Step-by-step explanation:
Answer: quotient is 2x^2 + 10x - 5
Solution:
The first polynomial is miswritten.
The right one is: 2x^3 + 4x^2 - 35x + 15.
So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)
The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.
So, in this case it is:
3 | 2 4 -35 15
---------------------------------
2 10 - 5 0
So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.
I like to show it in this other way:
| 2 4 -35 15
|
|
3 | +6 +30 -15
--------------------------------
2 10 - 5 0
Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
Answer:
y=5
Step-by-step explanation:
The answer is 5 because that sign around the -5 is the absolute value sign. What the absolute value sign does is it measures the distance from 0 the number is. Since the number -5 is 5 units away from the number 0, then y=5.
pt1= (10,12)
pt2= (10,-8)
_________________
distance = √ (x1 - x2)² + (y2 - y1)²
_________________
=√ (0)² + (-20)²
______
=√400
=20 units
According to the theory on the <em>effect size</em> the following statements are correct:
<em>As the standard deviation increases, the power of the test increases</em>. An increment of the standard deviation means that a larger sample size is required for the test and a larger sample size implies that the power increases, which means that as the standard deviation increases the power also increases.
<em>As the sample size increases, the power of a test increases</em>. When the sample size increases the amount of information increases, this means that the probability of rejecting H0 given that H0 is false increases. In other words, the probability that the significance test performs according to reality is larger.
