Answer:
1) 102.7 meters
2) 11
Step-by-step explanation:
1) -4.9x² + 75x = -4.9x² + 50x + 38
25x = 38
x = 1.52 s
Height = -4.9(1.52)² + 75(1.52) = 102.67904 m = 102.7 m
2) f(x) = x² + 3x - 2
f(2) = 2² + 3(2) - 2 = 8
f(6) = 6² + 3(6) - 2 = 52
Average rate of change:
(52-8)/(6-2) = 11
Answer:
(C)
Step-by-step explanation:
20 for each day=20x
4 for hot dogs sold=4x
20x+4x
(C)
Answer
Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.
Step-by-step explanation:
<3
Answer:
For the first question the sample size is n= 3850


And replacing we got:


We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
Step-by-step explanation:
We have the following info given:
represent the estimated proportion of all people who like the movie
represent the sample size selected
For the first question the sample size is n= 3850
For the second part they gives to us the margin of error:

We know that the confidence interval for a population proportion
of interest is given by:

And the margin of error is given by:

So then the confidence interval can be found with this formula:

And replacing we got:


We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.