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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.
Answer:
The best estimate is greater than 1/2 but less than 3/4
Step-by-step explanation:
If you multiply 1/4 by 3/3 (which is also 1), you can change the denominator without changing the value. So 1/4 is equal to 3/12.
Since keith has 11/12 hours to play, and he has already played 3/12 hours, subtract 3/12 from 11/12 to get 8/12 hours. This is how much time he has left to play.
If you simplify 8/12 hours, you get 2/3 hours.
So the best estimate would be: greater than 1/2 but less than 3/4.
Answer:
2304 pi cm^3
Step-by-step explanation:
The equation is 4/3(pi)(r^3). From there, you can just plug in the given radius value and solve the equation!
24 because when you plug in 0 for both x and y:
0=12(0)+24
12*0=0, leaving you with 24.
Answer:
The equation is 4(x-3) -(5x+1) = 3
The next step is solving the equation is to apply the distributive property and the equation becomes 4x - 12 - 5x - 5 = 3.
Hope I helped :D
Step-by-step explanation:
