We found the answer of 4.5. I had her add another 1.5 which gave us the number 6 in the chart to show proof to her.
Step-by-step explanation:
the amount of time of the two trips is a proportional relationship
<h3>What is proportional relationship?</h3>
mathematical expressions are said to be proportional if there unit rate are equal. this means that the expressions will give similar results when similar values are substituted into the equation.
<u>solution:</u>
Driving 7 hrs within 385 miles represents a unit rate of 385 / 7 = 55 miles per hour or 55 mph
while 3 hrs in 165 miles represents a unit rate of 165 / 3 = 55 mph
since both situations gave similar speed in miles per hour they are said to have a proportional relationship.
Read more on proportional relationship here: brainly.com/question/12242745
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<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.
It is true because every term is the previous term multiplied by -2. So, -40 x -2 = 80, 80 x -2 = -160
Answer:
69%
Step-by-step explanation:
Overall grade = 0.35*minor grade + 0.65*major grade
major grade: 0.65*61 = 39.65
minor grade: 0.35*84 = 29.4
total: 39.65+29.4 = 69.05
Rounded = 69%
