1.) 2
2.) 5
3.)84
4.) 4
5.) 31
6.).5
Answer:
99.7%
Step-by-step explanation:
Note that 92 and 128 are 3 standard deviations from the mean
The emperical rule or the 68–95–99.7 rule states that 68% of outcomes are wihtin 1 standard deviation from the mean
95% of outcomes are within 2 standard deviations from the mean
99.7% of outcomes are within 3 standard devations from the mean
This is 3 standard deviations so the answer is 99.7
Answer:
Σ(-1)^kx^k for k = 0 to n
Step-by-step explanation:
The nth Maclaurin polynomials for f to be
Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......
The given function is.
f(x) = 1/(1+x)
Differentiate four times with respect to x
f(x) = 1/(1+x)
f'(x) = -1/(1+x)²
f''(x) = 2/(1+x)³
f'''(x) = -6/(1+x)⁴
f''''(x) = 24/(1+x)^5
To calculate with a coefficient of 1
f(0) = 1
f'(0) = -1
f''(0) = 2
f'''(0) = -6
f''''(0) = 24
Findinf Pn(x) for n = 0 to 4.
Po(x) = 1
P1(x) = 1 - x
P2(x) = 1 - x + x²
P3(x) = 1 - x+ x² - x³
P4(x) = 1 - x+ x² - x³+ x⁴
Hence, the nth Maclaurin polynomials is
1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n
= Σ(-1)^kx^k for k = 0 to n
Answer:
the constant of proportionality is 0.2 and it is a proportional relationship
Step-by-step explanation:
2 divided by 10 is 0.2
1 divided by 5 is 0.2
they have the same answer so they are proportional
since they have the answer 0.2 it
is there constant of proportionality
-3 is one of them hope this helps
