For this problem, the confidence interval is the one we are looking
for. Since the confidence level is not given, we assume that it is 95%.
The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n
Where:
<span>
</span>
α= 5%
α/2
= 2.5%
t
0.025, 19 = 2.093 (check t table)
n
= 20
df
= n – 1 = 20 – 1 = 19
So plugging in our values:
8.41 ± 2.093 * 0.77 √ 1 + 1/20
= 8.41 ± 2.093 * 0.77 (1.0247)
= 8.41 ± 2.093 * 0.789019
= 8.41 ± 1.65141676
<span>= 6.7586 < x < 10.0614</span>
Answer:
1:10 p.m.
Step-by-step explanation:
First, add 20 minutes to 8:50 a.m. That would be 9:10 a.m. Then, add the remaining 4 hours to the 9:10 a.m. to get your answer- 1:10 p.m.
Let x = hours to meet
train one has a 2 hour head start or 210 km head start
210 + 105x = 135x
30x = 210
x = 7 hours to meet
Answer:
The numbers are 44 and 46
Step-by-step explanation:
Let
x, x+2 ----> the two consecutive positive even integers
we know that
Solve the quadratic equation using a graphing calculator
The solution is x=44
see the attached figure
therefore
The numbers are 44 and 46
9514 1404 393
Answer:
5x + 12 = 5x - 7
Step-by-step explanation:
There will be no solution when the coefficients of x are the same on both sides of the equal sign and the constants are different. That is the case for ...
5x + 12 = 5x - 7
This reduces to ...
19 = 0 . . . . . no value of x will make this be true: NO SOLUTION
