Answer:
95% Confidence interval: (0.375,0.377)
Step-by-step explanation:
We are given the following in the question:
Sample mean, 
= 0.376 cc/cubic meter
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 0.0012
Degree of freedom =
95% Confidence interval:
Putting the values, we get,
(0.375,0.377) is the required 95% confidence interval for the population mean potassium chloride concentration.
Answer:
78.5 ft²
Step-by-step explanation:
In this situation, the dog's 5 ft leash is the radius of the circle that he forms.
So, the radius is 5.
Use the area formula, A = 
r². Plug in 5 as r, and 3.14 as
A = r²
A = (3.14)(5²)
A = (3.14)(25)
A = 78.5
So, the area of the grass he can cover is 78.5 ft²
The answer would be 8 ^-5
Answer:
that is really so difficult ? what do you not understand here ? please let me know, if you need any further explanations.
you know what the perimeter is ? if it's the circumference, the way around the object. in other words, the distance you have to walk, when going along all sidelines of the object.
so the perimeter is the sum of of all side lengths.
56 = x - 1 + 3x + 3x + 1 = 7x
x = 8
that gives us the side lengths :
x - 1 = 7 cm
3x = 21 cm
3x + 1 = 22 cm
the formula for the area of a triangle
A = baseline × height / 2
the advantage of a right-angled triangle in this regard is that the sides enclosing the 90 degree angle are already "acting" as baseline and the height (standing on the baseline with a 90 degree angle).
so, we can simply say here, the 3x side is the baseline, and the x-1 side is also the height.
therefore,
A = 21×7/2 = 147/2 = 73.5 cm²
