The numbers in this problem are ordered pairs, which are points on a graph.
These are (10, 20), (-10, 20), (-10, -10), and (10, -10).
To find the area and perimeter of this shape, you must first find the distance between each point.
Distance between (10, 20) and (-10, 20):
Since the y-value remains the same here, we just have to find the difference in x-values.
This means 10 - (-10)
A negative being subtracted is the same as a positive being added.
That means 10 - (-10) is the same as 10 + 10.
10 + 10 = 20, so the distance between (10, 20) and (-10, 20) is 20 units.
Distance between (-10, 20) and (-10, -10):
The x-values are the same here so just find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between the (-10, 20) and (-10, -10) is 30 units.
Distance between (-10, -10) and (10, -10):
The y-values are the same so just find the difference between the x-values.
10 - (-10) = 10 + 10 = 20
The distance between (-10, -10) and (10, -10) is 20 units.
Distance between (10, -10) and (10, 20):
The x-values are the same so find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between (10, -10) and (10, 20) is 30 units.
So now we know the side lengths of the room are 20 units, 30 units, 20 units, and 30 units.
To find the perimeter, add all the side lengths together.
20 + 30 + 20 + 30 = 100
The perimeter of the room is 100 units.
To find the area, multiply the length by the width.
The length is 20 units and the width is 30 units.
20 • 30 = 600
The area of the room is 600 units.
Final answers:
Perimeter = 100
Area = 600
Hope this helps!
Answer:
a)C
b)E
Step-by-step explanation:
a) You have to pick a vowel. There are three vowels and a total of 6 letters so it is 3/6 so the answer is C
b) Picking a card that is not T. None of the 6 letters are T so the probablity of picking a card with no T is 1. So the answer is E.
Answer:
<em>The test statistic value Z = 4.64 > 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is rejected </em>
<em>Alternative hypothesis is accepted</em>
<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given sample size 'n' = 167
Given data In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma.
<em>Sample proportion </em>
<em>Given Population proportion 'P'</em> = 11% = 0.11
<u><em>Step(ii) </em></u>:-
<em>Null Hypothesis : H₀ : p = 11</em>
<em>Alternative Hypothesis H₁: p≠11</em>
<u><em>Test statistic</em></u>
Z = 4.64
<u><em>step(iii)</em></u>
<em> Critical value Z = 1.96 </em>
<em>The calculated value Z = 4.64 > 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is rejected </em>
<em>Alternative hypothesis is accepted</em>
<u><em>Conclusion:-</em></u>
<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>
