Answer:
The degrees of freedom for this sample are 27.
The sample size to get a margin of error equal or less than 0.3656 is n=4450.
Step-by-step explanation:
The degrees of freedom for calculating the value of t are:
With 27 degrees of freedom and 95% confidence level, from a table we can get that the t-value is t=2.052.
The sample size to get a margin of error equal or less than 0.3656 can be calculated as:
Answer:
about 29.7 minutes
Step-by-step explanation:
If it take c minutes for Charles to mow the lawn by himself, it takes c+16 minutes for Peter. The two of them working together can mow in one minute this fraction of the entire lawn:
1/c + 1/(c+16) = 1/18
Multiplying by 18c(c+16), we get ...
18(c +16) + 18(c) = c(c+16)/18
36c +288 = c^2 +16c
c^2 -20c = 288 . . . . . subtract 36c
c^2 -20c +100 = 388 . . . . . add (20/2)^2 = 100 to complete the square
(c -10)^2 = 388
c = 10 +√388 ≈ 29.6977 . . . . . take the positive square root
It takes Charles about 29.7 minutes to mow the lawn by himself.
Answer:
c
Step-by-step explanation:
The percentage of increase in Roberto score is 14.87%, if Roberto made a 74 on last weeks math quiz. this week he made an 85 on the quiz.
Step-by-step explanation:
The given is,
Roberto score on math quiz at last week is 74
This week he made an 85 on the quiz
Step:1
Formula to calculate the percentage of increase the score,
× 100...........(1)
From the given,
Final score = 85
Starting score = 74
Equation (1) becomes,
× 100
= × 100
= 0.1486486 × 100
= 14.86486 %
≅ 14.87 %
Percentage of increase = 14.87 %
Result:
The percentage of increase in Roberto score is 14.87%, if Roberto made a 74 on last weeks math quiz. this week he made an 85 on the quiz.
<span>It is D: n(n+4). I solved it by a long, but easy method. First, I made up the value of N, the width, and made it 3. I then added 4 to 3, which is 7. So the length is 7 and the width is 3. The area of this made up rectangle is 21. The only answer choice that has 21 as the area is D.</span>