Answer:
Step-by-step explanation:
-2 = 4r + s
subtract 4r from both sides of the equation
-2 -4r = s
Answer:
2.2
Step-by-step explanation:
Find square root of sample size then divid it by your standard deviation
Answer: 1/3 = 33.3% or 33 ⅓%
1/9 = 11.1%
2/9 = 22.2%
8/9 = 88.9%
Step-by-step explanation:
Divide the numerator by the denominator. Multiply the quotient by 100 to change the decimal to a percentage.
All of these are repeating decimals, so it may be required to keep at least one decimal place in the percentage, depending on how precise the calculation must be.
You can either use the inverse function theorem or compute the general derivative using implicit differentiation. The first method is slightly faster.
The IFT goes like this: if f(x) is invertible and f(a) = b, then finv(b) = a (where "finv" means "inverse of f").
By definition of inverse functions, we have
f(finv(x)) = finv(f(x)) = x
Differentiating both sides of the second equality with respect to x using the chain rule gives
finv'(f(x)) * f'(x) = 1
When x = a, we get
finv'(b) * f'(a) = 1
or
finv'(b) = 1/f'(a)
Now let f(x) = sin(x), which is invertible over the interval -π/2 ≤ x ≤ π/2. In the interval, we have sin(x) = √3/2 when x = π/3. We also have f'(x) = cos(x).
So we take a = π/3 and b = √3/2. Then
arcsin'(√3/2) = 1/cos(π/3) = 1/(1/2) = 2
Answer:
no
Step-by-step explanation:
7x+5y=15
(x,y)
(4,3)
put in 4 for x and 3 for y
7(4)+5(3)=15
43=15
This equation is impossible
Hope that helps :0
