Answer:
A = 0.8 litres
B = 0.7 litres
C = 0.5 litres
D = 0.2 litres
Step-by-step explanation
Here's what we know:
1. Jug A = B + .1 litres
2. Jug C = B - 200 (or 0.2 litres)
3. Jug D = .25 x A
4. Jug A + Jug B = 1.5 litres
In problem 1, we learned that Jug A has .1 litres more than Jug B and in problem 4, the two of them added together are 1.5 litres. To solve this we can combine the problems.
B + .1 litres + B = 1.5 litres
2B + .1 = 1.5
Subtract .01 from each side and you have 2B = 1.4
Divide each side by 2 and you have B = 0.7 litres
Plug this info into problem 1 and you can solve for A. (0.7 + 0.1 = 0.8)
Plug this info into problem 2 and you can solve for C. (0.7 - 0.2 = 0.5)
Since you have A, you can use that info to solve problem 3 (0.25 x 0.8 = 0.2)
Given Information:
Population size = N = 210
Mean height of women population = μ = 64.4 in.
Standard deviation of height of women population = σ = 2.9 in.
Sample size = n = 36
Required Information:
Sample mean = μx = ?
Sample standard deviation = σx = ?
Answer:
Sample mean = μx = 64.4 in.
Sample standard deviation = σx = 0.44 in.
Step-by-step explanation:
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
The mean of the sample will be same as population mean that is
μ = μx = 64.4 in
Whereas the sample standard deviation is given by
Where σ is the standard deviation of height of women population, N is the population size and n is the sample size.
The term is known as finite population correction factor and is used since the sampling is done without replacement.
Therefore, the standard deviation of sample is 0.44 in.
i dont know how to delete an answer, I'm fairly new at this
Answer:
Most reasonable: 16°, 20° and 22°
If Emma is very short, 25°
Step-by-step explanation:
This is trigonometry using Tangent and arc-tan
Tan=opp/adj
The length of the adjacent is 20 yards. The opposite lengths given are the bottom, 6 yards and the top, 10 yards. Assuming Emma is of average height, it seems reasonable to subtract about 1.7 to 1.9 yards, the distance of her eyes above ground level, for accuracy. But that may not be necessary, given the range of angles.
I subtracted 1.8, about 5'6"
Calculating tangent from the top:
8.2/20 = .41. arc-tan .41= 22.3°
tangent for the bottom:
4.2/20= .21 arc-tan .21 = 11.8°
If you are using a scientific calculator, once you have the ratio of the opp to adj in decimal form, use the tan- key then the decimal to convert to degrees.