Answer:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have
and for the denominator we have
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Step-by-step explanation:
Information given
represent the sampe size 1
represent the sample 2
represent the sample deviation for 1
represent the sample variance for 2
represent the significance level provided
The statistic is given by:
Hypothesis to test
We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:
H0:
H1:
The statistic is given by:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have
and for the denominator we have
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Answer:
30 years old
Step-by-step explanation:
Let the two ages be A and C.
Then C = (1/2)A, and A = C + 15.
Substitute C + 15 for A in C = (1/2)A:
C = (1/2)(C + 15), or 2C = C + 15.
Then C = 15, and A = C + 15 becomes A = 15 + 15, or A = 30.
Answer:
20.485 Meters
Step-by-step explanation:
So first you wanna draw a diagram. Start with the tower, then on the ground to the left (or right) draw a point. The point will be labeled as 42 m away from the tower. Now draw a line from that point to the top of the tower. This makes your triangle, and that angle you just drew that touches the point is 26 degrees.
Now, since you have a right triangle you can use trig. You know an angle and a side. Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower. So opposite and adjacent is tangent. So you set up tan(26) = o/42 where o is the opposite side.
So solving you get o = 20.485 meters