Answer:
8 in^2.
Step-by-step explanation:
F = P * A
22 = 2.75 * A
A = 22/ 2.75
A = 8 in^2.
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Step-by-step explanation:</u></em></h2>
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Answer: The two sides are 15m and 10m.
Step-by-step explanation:
Area = l x w
150 = l x w
There are two solutions for l
l 1= P/4+1/4√P2﹣16A
=50/4+1/4·√50^2﹣16·150=15m
l2 = P/4﹣1/4√P2﹣16A
=50/4﹣1/4·√50^2﹣16·150=10m
Answer:
150
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<1 + <2 = <3
3x+11 + 3x+19 = 7x+10
Combine like terms
6x+30 = 7x+10
Subtract 6x from each side
6x -6x+30 = 7x-6x+10
30 = x+10
Subtract 10 from each side
30-10 = x+10-10
20 =x
We need to find angle 3
<3 = 7x+10
= 7(20)+10
= 140+10
= 150
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Answer with explanation:</h2>
Given : In a restaurant, the proportion of people who order coffee with their dinner is p.
Sample size : n= 144
x= 120

The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-
Null hypothesis :
[ it takes equality (=, ≤, ≥) ]
Alternative hypothesis :
[its exactly opposite of null hypothesis]
∵Alternative hypothesis is left tailed, so the test is a left tailed test.
Test statistic : 

Using z-vale table ,
Critical value for 0.05 significance ( left-tailed test)=-1.645
Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.
Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.