Answer:
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²
The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Answer:
0.0416
Step-by-step explanation:
Given :
Sample size, n = 300
Sample mean, x = 35.5
Population mean, m = 35
Standard deviation, s = 5
The test statistic :
Zstatistic = (x - m) / s/sqrt(n)
Zstatistic = (35.5 - 35) / 5/sqrt(300)
Zstatistic = 0.5 / 0.2886751
Zstatistic = 1.732
Using the p value calculator from Zstatistic :
One tailed P value at 95% confidence interval is : 0.0416
Factor is 2(13+3x)
Simplify is 26+6x
Answer:
108 degrees
Step-by-step explanation:
Given the following angle measures in triangle QRS
m<Q = 1x
m<R = 3x
m<S = 6x
Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees
The sum of angle in a triangle is 180 degrees
m<Q + m<R + m<S = 180
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18
The obtuse angle is 6x
Measure of the obtuse angle = 6x
Measure of the obtuse angle = 6(18)
Measure of the obtuse angle = 108 degrees
Hence the measure of the obtuse angle is 108 degrees
Use the formula πd.
The medimum has a diameter of 10π and the large has diameter of 12π. The difference is 2π or 6.28 inches. The third one.:D
