Answer:
Interval for t statistic = (-1.345, 1.345)
Step-by-step explanation:
given that a random sample of size 15 is selected from a normal population. The population standard deviation is unknown.
Since population std deviation is unknown and also sample size <30, we have to use t test only for testing of hypothesis
Given it is a two tailed test at 10% significance level.
Degree of freedom = 15-1 =14
t critical value for df 14 two tailed is
1.345
Hence our test statistic should lie between
(-1.345, 1.345)
Then null hypothesis is accepted
Other wise it is rejected.
Part A
Given that

Then,

For

, then

Thus,

For

, we have

Part B
Recall that from part A,

Now, at initial position, t = 0 and

, thus we have

and when the velocity drops to half its value,

and

Thus,

Thus, the distance the particle moved from its initial position to when its velocity drops to half its initial value is given by
Answer:
6:1:2
Step-by-step explanation:
Let a = Able's score, b = Ben's score, and c = Cal's score.
Since
Able's score was 6 times Ben's score, that means a = 6b.
Cal's score was a third of Able's score, so that means c = a/3. And since a = 6b, that means c = 6b / 3 = 2b.
Thus, the ratio of Able's score to Ben's score to Cal's score, a:b:c, is 6:1:2, because c is twice as much as b and a is 6 times as much as b.
Answer:
5 x 1/5 = 1 whole
The key word "of" means multiplication.