Answer:
There are 2 nickels and 6 dimes.
Step-by-step explanation:
Nickels: x
Dimes: y
Constraints:
0.05x + 0.10y = 0.70
x + y = 8 ===> -0.05 * (x + y = 8) ===> -0.05x - 0.05y = -0.4
Add the two equations to eliminate x variable:
0.05x + 0.10y = 0.70
-0.05x - 0.05y = -0.4
_________________
0.05y = 0.3 ===> y = 6
Substitution to find x:
x + y = 8
x + 6 = 8
x = 2
There are 2 nickels and 6 dimes.
Answer:
16,767
Step-by-step explanation:
Geometric sequence formula: an = ar^n-1
Now, we just plug in the values.
an = 23(3)^7-1
an = 23(3)^6
an = 23(729)
an = 16,767
Answer:
a) 17.09 hours
b) The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 49 - 1 = 48
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 48 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0106
The margin of error is:
M = T*s = 2.0106*8.5 = 17.09
s is the standard deviation of the sample. 17.09 hours is the answer for a.
The lower end of the interval is the sample mean subtracted by M. So it is 49 - 17.09 = 31.91 hours
The upper end of the interval is the sample mean added to M. So it is 49 + 17.09 = 66.09 hours
The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours
Answer:
7/20
Step-by-step explanation:
The answer would be $35.70. 70% off would be $83.30 off of $119.