Answer:
Step-by-step explanation:
The idea behind the standard deviation is to quantify the spread of a distribution by measuring how far the observations are from their mean. The standard deviation gives the average (or typical distance) between a data point and the mean.
Answer:
- D) A vertical dilation by a factor of 3 and a vertical shift down 2 units
Step-by-step explanation:
<u>Given</u>
- f(x)=10^x
- g(x)=3(10)^x - 2
<u>We see that:</u>
This is a vertical stretch by a factor of 3 and translation down 2 units
Correct choice is D
Answer:
Hi! The correct answer is x=b^2/c, c=b^2/x
Step-by-step explanation:
<em><u>~Solve the rational equation by combining expressions and isolating the variable c and b~ </u></em>
STU + STR = 180
8x + STR = 180 [ STU = 8x ]
STR = 180 - 8x
STR = SRT [ RS ≈ ST ]
Now, In ΔSRT,
we have, RST = 7x - 54, STR = SRT = 180-8x
Their sum is 180, as it constitutes a triangle.
7x-54 + 2(180-8x) = 180
7x - 54 + 360 - 16x = 180
306 - 9x = 180
9x = 306 - 180
9x = 306 - 180
x = 126/9
x = 14
So, option A is your answer.
Hope this helps!
Answer:
3) a translation followed by a reflection
Step-by-step explanation:
First, to get to A'B'C'D', we can see that A is still on top, D is on the right, etc. -- everything is just shifted up and to the right. This signifies a translation as it is simply a shift.
Next, to get to A''B''C''D'', we can see that A'' is now on the right. If this would be a rotation from A'B'C'D', we can visualize it as the shape rotating to the right. B'' would then be on top as it is to the left of A' in A'B'C'D', so if B' would be rotated to the right, it would then go to the top of A''. However, B'' is in the bottom, and D'' is on the top, signifying a flip of what the rotation would be. As this is not a simple shift, the only option left is a reflection.
