First, we can simplify the left side. (6+8x)/2 is equal to 3 + 4x. We can put the equation together at this point.
3 + 4x = 5x
we can subtract 4x from both sides to get our final answer,
3 = x, or x = 3. :)
Answer: 
Step-by-step explanation:
Confidence interval for population mean is given by :-
(1)
, where 
= Sample mean
= Critical z-value
= Population standard deviation.
n= Sample size.
As per given , we have
n= 610
Significance level for 85% confidence : 
By z-table critical two tailed z-value : 
Put all values in (1) , we get
Hence, the 85% confidence interval for the mean consumption of meat among people over age 40. =
Answer: OPTION C.
Step-by-step explanation:
It is important to know the following:
<u> Dilation:</u>
- Transformation in which the image has the same shape as the pre-image, but the size changes.
- Dilation preserves betweenness of points.
- Angle measures do not change.
<u>Translation:</u>
- Transformation in which the image is the same size and shape as the pre-image.
- Translation preserves betweenness of points.
- Angle measures do not change.
Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:
<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>
Answer:
B: 39 degrees
Step-by-step explanation: The angles in a triangle add up to 180 degrees. 180 - 30 - 24 = 126.
126 = (3x-9).
126 - 9 = 117.
117 / 3 = 39
