Answer:
x ≈ 20.42, y ≈ 11.71
Step-by-step explanation:
Using the cosine ratio on the right triangle on the right, that is
cos20° = =
Multiply both sides by y
y × cos20° = 11 ( divide both sides by cos20° )
y = ≈ 11.71
Using the sine ratio on the right triangle on the left, that is
sin35° = =
=
Multiply both sides by x
x × sin35° = 11.71 ( divide both sides by sin35° )
x = ≈ 20.42
Answer:
Step-by-step explanation:
GIVEN: kayden paddled a canoe to an island. the island is miles from the shore. his trip to the island took two hours while paddling against the current. he paddles
mph with no current.
TO FIND: what was the speed of the current.
SOLUTION:
distance of island from the shore miles
total time taken by Kayden hours
speed of Kayden in still water
Let the speed of current be
Speed of Kayden against current
As,
Hence speed of current is
Answer:
Step-by-step explanation:
Given that a statistician selected a random sample of 125 observations from a population with a known standard deviation equal to 16 and computed a sample mean equal to 77
We can use Z critical values since population std deviation is known. Also sample size >30
We find std error of mean =
Margin of error = Z critical value * 1.4311
Z critical values for 93% = 1.81
for 89% = 1.60
n Std error Z critical Conf interval
89%
125 1.4311 1.6 (74.71024 79.28976 )
93%
1.81 (74.409709 79.590291 )
We find that when confidence level increases interval width increses.
c) When sigma changes to 441, std error changes to
So we get
n Std error Z critical Conf interval
89%
441 0.7619 1.6 (75.781 78.219 )
93%
1.81 (75.621 78.37904)
d) When n = 625, std error changes to 16/25 = 0.64
n Std error Z critical Conf interval
89%
441 0.64 1.6 (75.976 78.024 )
93%
1.81 (75.842 78.1584)
When sample size increases, confidence interval width decreases.