Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
Answer:

Step-by-step explanation:
You are going to integrate the following function:
(1)
furthermore, you know that:

lets call to this integral, the integral Io.
for a general form of I you have In:

furthermore you use the fact that:

by using this last expression in an iterative way you obtain the following:
(2)
with n=2s a even number
for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

Answer:
70707mmm = 111nnn
Step-by-step explanation:
Using the basic equation of a line:
y = mx + c;. where m is slope and c is intercept on y axis.
Let mmm = y and nnn = x
(i) 333 = 212121m + c
(ii) 555 = 353535m + c
Making c the subject of the formula in both (i) and (ii)
c = 333 - 212121m = 555 - 353535m
353535m -212121m = 555 - 333
141414m = 222
m = 111/70707
Substitute in (i) above
c = 333 -333 = 0
Hence; y = 111/70707x + c
Finally, mmm = 111/70707 nnn
i.e. 70707mmm = 111nnn
Hope this helps.
I'm guessing the series is supposed to be

By the ratio test, the series converges if the following limit is less than 1.

The first

terms in the numerator's denominator cancel with the denominator's denominator:


also cancels out and the remaining factor of

can be pulled out of the limit (as it doesn't depend on

).

which means the series converges everywhere (independently of

), and so the radius of convergence is infinite.
Answer:
true
Step-by-step explanation: