The polynomial x3+8 = (x+2)(x2-2x+4)
1. We assume, that the number 320 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 320 is 100%, so we can write it down as 320=100%. </span>
<span>4. We know, that x is 45% of the output value, so we can write it down as x=45%. </span>
5. Now we have two simple equations:
1) 320=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
320/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 45% of 320
320/x=100/45
<span>(320/x)*x=(100/45)*x - </span>we multiply both sides of the equation by x
<span>320=2.22222222222*x - </span>we divide both sides of the equation by (2.22222222222) to get x
<span>320/2.22222222222=x </span>
<span>144=x </span>
x=144
<span>now we have: </span>
<span>45% of 320=144</span>
Answer:
A. The woman is relatively taller because the z score for her height is greater than the z score for the man's height.
Step-by-step explanation:
Whoever has the highest z-score, is taller relative to the population of the same gender.
The z-score of a value X in a set with mean 
and standard deviation 
is given by:
Solution:
Heights of men have a mean of 170 cm and a standard deviation of 6 cm. One of the tallest living men has a height of 236 cm. So the z-score of his height is:
Heights of women have a mean of 161 cm and a standard deviation of 5 cm.
One of the tallest living women is 224 cm tall. The z-score of the women's height is
The women has a higher z-score, so she is relatively taller.
The correct answer is A
Answer:
x = 3
Step-by-step explanation:
The angle bisector divides the segments either side of it proportionally. So, you have ...
x/4 = 2.25/3
x = 4·2.25/3 . . . . multiply by 4
x = 3
_____
Since DB = 3 and DA = 2.25, point D is clearly <em>not the midpoint</em> of AB.
