Well since the only possible step to begin with is finding the square root of the entire equation, we are left with :
x+y-5 =√(30)
So from there we add 5 and subtract y to/from √30 and get :
x = √(30)-y+5
or
x = √(2)*√(3)*√(5)-y+5 (if the teacher or instructions preferred √(30) simplified)
Answer:
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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 a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.
This means that
Suppose that 12 individuals are randomly chosen.
This means that
What is the distribution of ¯ x?
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
Answer:
d) the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.
-2/+1 = -2. this means the slope of f(x) = -2.
finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)
We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...
n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..
In this case:
20!/(10!(20-10)!)
20!/(10!*10!)
184756
S=rtheta==>theta=s/r
4/7=theta
a=1/2*r^2*theta
a=(1/2)(49)(4/7)
a=14 feet