Brian is solving the equation x^2 -3/4 x =15. what value must be added to both sides of the equation to make the left side a per
1 answer:
You might be interested in
Answer:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
Step-by-step explanation:
For this case we assume the following probability distribution:
X 5 6 7 8 9 10
P(X) 0.05 0.15 0.33 0.28 0.12 0.07
First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
In order to find the standard deviation we need to find first the second moment, given by :
And using the formula we got:
Then we can find the variance with the following formula:
And then the standard deviation would be given by:
"A dilation centered at the origin with scale factor to 1/2 from the origin" means that we must join O to all the vertices of the triangle, and make the distances 1/2 of the original triangle. This is shown clearly in the picture.
The coordinates of the new triangle are A'(0,4), B'(1,-1), C'(-1,-1).
<span>
The relationship between corresponding sides in terms of their lengths:
The sides of the dilated triangle are half the length of the first triangle.
</span><span>The relationship between corresponding sides in terms of their orientations.
The two triangles have the same orientation.
</span><span>The relationship between corresponding angles in terms of their measures.
The two triangles have congruent corresponding angles.</span>
The coordinates of the new triangle are A'(0,4), B'(1,-1), C'(-1,-1).
<span>
The relationship between corresponding sides in terms of their lengths:
The sides of the dilated triangle are half the length of the first triangle.
</span><span>The relationship between corresponding sides in terms of their orientations.
The two triangles have the same orientation.
</span><span>The relationship between corresponding angles in terms of their measures.
The two triangles have congruent corresponding angles.</span>