Answer:
Step-by-step explanation:
Since the population standard deviation 
is unknown, and the sample standard deviation 
, must replace it, the 
distribution must be used for the confidence interval.
The sample size is n=8.
The degree of freedom is 
, 
.
With 95% confidence level, the 
(significance level) is 5%.
Hence with 7 degrees of freedom, 
. (Read from the t-distribution table see attachment)
The 95% confidence interval can be found by using the formula:
.
The sample mean is 
hours.
The sample sample standard deviation is 
hours.
We now substitute all these values into the formula to obtain:
.
We are 95% confident that the population mean is between 26.12 and 31.48 hours.
Answer:
8
Step-by-step explanation:
use trig functions
2 sides and 1 angle given
Sides given
- hypotenuse -> x
- opposite side to 30˚ -> 4
Angle
trig function associated with hyp and opp is sin
sin(x) = opp/hyp
substitute
sin 30˚ = 4/x
solve for x
0.5 = 4/x
0.5x = 4
x = 8
Answer:
x = 6
Step-by-step explanation:
2/3=8/x+6
Using cross products
2 * (x+6) = 3*8
2(x+6) = 24
Divide by 2
x+6 =12
Subtract 6
x = 6
<h3>
Answer: 8</h3>
Explanation:
The rule says "whatever x is, add 1 to it to get y"
So for instance, if x = 3, then y = x+1 = 3+1 = 4
Now if x = 7, then y = x+1 = 7+1 = 8
