Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x
So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
A critical value is the point on the scale of the
test statistic (z test in this case) outside which we reject the null
hypothesis, and is taken from the level of significance of the test. The critical
values can be obtained from the standard distribution tables for z and for this
case, it is equivalent to:
critical value zα/2 at 98% confidence level = 2.326
Answer: 2.326
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Answer: The slope of the line is 
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
Then, given the points 
and 
, you can identify that:
Knowing these values you can substitute them into the formula for calculate the slope:
Finally, evaluating, you get that the slope of that line is:
Answer:
First the mode. Since 5 popped up the most, 5 is the mode.
Next is the median. I crossed 1 dot from each side until it shows the last dot, and 5 was the last one.
After that the range. 9-2=7
Finally the worst, the mean... 2+2+3+3+3+4+5+5+5+5+5+6+6+6+8+9+9+9+9
=104/19=5.47
SO, Mode=5 Median=5 Range=7, and the mean is 5.47 (rounded nearest hundred)
Answer:
There are 31 students in the class.
Step-by-step explanation:
