<h2>
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.
The system of equations has infinite solutions.
<h2>Given to us,</h2>
<h3>Equation 2,</h3>
The value of y is already given in equation 1,
substituting the value of y in equation 2,
The solution of the two equations is 0. Also, we can see that both the equations are in ratio.
Further, the image also shows that the line of the two equations are coinciding.
Hence, the system of equations has infinite solutions.
Learn more about System of solutions:
brainly.com/question/14264175
Answer:
3
Step-by-step explanation:
Evaluate x/4 + 6 (x - 12) where x = 12:
x/4 + 6 (x - 12) = 12/4 + 6 (12 - 12)
Hint: | Reduce 12/4 to lowest terms. Start by finding the GCD of 12 and 4.
The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:
3 + 6 (12 - 12)
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
6×0 + 3
Hint: | Any number times zero is zero.
0×6 = 0:
0 + 3
Hint: | Simplify the expression.
Write 3 + 0 as 3:
Answer: 3
Answer:
512 mph
Step-by-step explanation:
The relevant relation is ...
speed = distance/time
speed = 1792 mi/(3.5 h) = 512 mi/h
The plane's average rate of speed should be 512 miles per hour.
Tyler has 3 cans of blue paint. Each contains 3 quarts separately. What you need to do is multiply 3 and 3, which would total to 9 quarts. Since you need to include exponents, I´m guessing 3 cubed (3 to the third power) will work. He also buys 1 can of white paint, which only contains 2 quarts. You should add that to the 9 quarts we got from the last steps. I am not sure if this answer is entirely correct, but my guess is 3^3 + 2 = 11 quarts.
