Answer: 36.813
Step-by-step explanation:
Given claim :
Then , the set of hypothesis for this claim will be :-
.
The formula to find the standardized chi-square test statistic ( ) will be :_
Given :
Then
Hence, the standardized test statistic
<h3>
Answer: x = 19</h3>
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Explanation:
Arc XPZ = 271 is shown in the diagram below as the blue arc. The red arc is the remaining bit minor arc XZ. The term "minor arc" refers to any arc that is less than 180 degrees.
Subtract the measure of arc XPZ from 360 to get
360 - (arc XPZ) = 360 - 271 = 89
So minor arc XZ is 89 degrees. Central angle ZCX is also 89 degrees because this central angle cuts off (or subtends) minor arc XZ.
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We are told that angle XYZ circumscribes the circle. This is just another way of saying that segments XY and YZ are tangent to the circle. Tangent segments form 90 degree angles with the radius. Therefore, angles CXY and CZY are both 90. I have marked both angles with square angle markers in the diagram below.
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We know three angles of quadrilateral CXYZ.
- angle ZCX = 89
- angle CXY = 90
- angle CZY = 90
The only thing we don't know is angle XYZ, which we'll just call some variable for now. Let's use M. So M = measure of angle XYZ.
For any quadrilateral, the four angles always add up to 360 degrees
(angleZCX)+(angleCXY)+(angleCZY)+(angleXYZ) = 360
89+90+90+M = 360
269+M = 360
269+M-269 = 360-269
M = 91
angle XYZ = 91 degrees
Set this equal to (4x+15), which is what angle XYZ is also equal to, then solve for x
4x+15 = 91
4x+15-15 = 91-15
4x = 76
4x/4 = 76/4
<h3>x = 19</h3>
Bjuggnkkj niiiub njoug Niihau. Hi
I I believe it’s infinite because they are the same line.
If you multiply the bottom equation by 9, you get the top one.
6x-9y=-9
First, we already have the perimeter and the sides that we need to find the 5th sides. Next, add all available sides that we have: 5+5+4+4=18. Finally, we need to subtract 27 to 18 to get the final answer is 9 for the 5 the side. Hope you get it.