Answer:
yes
Step-by-step explanation:
Answer:
B. SAS
Step-by-step explanation:
In the given diagram, it would be observed that each side of the bigger triangle are multiplied by a factor of
to give the values of each corresponding sides of the smaller triangle. But the included angle of the two triangles are the same.
Therefore, the reason why the triangles are similar is because of side-angle-side (SAS) relations. The correct option is B.
Answer:
The 85% confidence interval is (0.2187, 0.2613).
Step-by-step explanation:
We have a large sample of size n = 830 Americans over 45. We have observed that 631 people don't smoke. Let p be the population proportion of Americans over 45 who smoke. An point estimate of p is
and an estimate of the standard deviation of
is
= 0.0148. Therefore, because we have a large sample, the 85% confidence interval for the population proportion is given by
where
is the 7.5th quantile of the standard normal distribution, i.e., -1.4395. Therefore the 85% confidence interval is
or equivalently (0.2187, 0.2613).
First two rolls have to be 1-4 that is 2/3 chance twice and the third can be 4or 5
2/3*2/3*1/3 + the chance that the fourth is the 5 or 6.
2/3*2/3*2/3*1/3
So the solution is : P=2/3*2/3*1/3 + 2/3*2/3*2/3*1/3