Answer:
The distribution of sample averages will have a normal distribution withe mean = 100 and a stamdard deviation of 1.789.
Step-by-step explanation:
According to the central limit theorem, the mean of the distribution of sample means is equal to the population mean.
μₓ = μ = 100
The theorem goes further to explain that if samples of finite size are obtained from the population, the distribution of sample means will approximate the distribution of the population. Since the population is known to have data that is distributed normally, the distribution of sample means will have a normal distribution too.
The standard deviation of the distribution of sample means is given as the standard error of the mean,
σₓ = (σ/√n)
where σ = population standard deviation = 4
n = sample size = 5
σₓ = (4/√5) = 1.789
Hope this Helps!!!
I got about 7 miles hope u get an 100%
Answer:
- x +y = 500
- 0.65x +0.95y = 0.75(500)
- solution: (x, y) = (300, 200)
Step-by-step explanation:
A system of equations for the problem can be written using the two given relationships between quantities of brass alloys.
<h3>Setup</h3>
Let x and y represent the quantities in grams of the 65% and 90% alloys used, respectively. There are two relations given in the problem statement.
x + y = 500 . . . . . . quantity of new alloy needed
0.65x +0.90y = 0.75(500) . . . . . quantity of copper in the new alloy
These are the desired system of equations.
<h3>Solution</h3>
This problem does not ask for the solution, but it is easily found using substitution for x.
x = 500 -y
0.65(500 -y) +0.90y = 0.75(500)
(0.90 -0.65)y = 500(0.75 -0.65) . . . . . . subtract 0.65(500)
y = 500(0.10/0.25) = 200
x = 500 -200 = 300
300 grams of 65% copper and 200 grams of 90% copper are needed.
Answer:
Step-by-step explanation:
A) (1+2x)-(2-3x)=
3x 1x = 2x
B) (-3+5x)-(-4x-5)
2x 1x = 1x
C) (x+1)-(-4x-5)
1x 1x x
Answer:
ummm yes
Step-by-step explanation: