Answer:
2.09 sq. units
Step-by-step explanation:
We can simply use the formula for area of a sector of a circle.
Area of sector = 
Where 
is the angle and r is the radius.
<em>It is given that the angle is 15 and radius is 4. We plug them in and find the area:</em>
<em>
</em>
<em />
<em>Thus area of sector is 2.09 sq. units.</em>
17 - (4k - 2) ≥ 2 (k + 3)
17 - 4k + 2 ≥ 2k + 6
-4k + 19 ≥ 2k + 6
19 - 6 ≥ 2k + 4k
13 ≥ 6k
13/6 ≥ k
Done!
Answer:
The sampling distribution of X, for a sample of size 16, will be approximately normal with mean 2 mm and standard deviation 0.01 mm.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For the population:
Mean 2 mm, standard deviation 0.04 mm
Describe the sampling distribution of X (for a sample of size 16).
Sample of size 16 means that 
By the Central Limit Theorem, approximately normal with mean 2 and standard deviation 
If my clothes are clean, then I do not have to do laundry.
Answer:
Yes.
The first has an area of 9, so each side is three.
The second has an area of 16, so each side is four.
Each side of the third square is given as 5.
So the triangle has sides of 3, 4, and 5.
3²+4²=5²
9+16=25
25=25 It works given the Pythagorean theorem.
Step-by-step explanation:
Yes.
The first has an area of 9, so each side is three.
The second has an area of 16, so each side is four.
Each side of the third square is given as 5.
So the triangle has sides of 3, 4, and 5.
3²+4²=5²
9+16=25
25=25 It works given the Pythagorean theorem.
