Answer:
[C] 29 Miles
Step-by-step explanation:
Given that the vessel sails 41 miles S 45° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,
Substituting ° , , and
Hence, we get,
Simplifying, we have,
Multiplying both sides by 41, we have,
Rounding off to the nearest integer, we have,
Thus, the vessel has sailed 29 miles South.
Therefore, Option C is the correct answer.
[RevyBreeze]
Answer:
21x-28
Step-by-step explanation:
Distribute
7(3x-4)
7*3x=21x
7*-4=-28
Answer:
3 metres
Step-by-step explanation:
Work done = Force × displacement
60= 20×d
d= 60/20
d= 3 metres
12r−8−12
=12r+−8+−12
Combine Like Terms:
=12r+−8+−12
=(12r)+(−8+−12)
=12r−20
Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean, = 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.