Answer:
x > 64
therefore, 65 and 66 both apply
Step-by-step explanation:
> 8
square each side to get:
x > 64
Answer:
(8.213 ; 8.247)
Step-by-step explanation:
Given the data :
No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Dia. 8.23 8.16 8.23 8.25 8.26 8.23 8.20 8.26 8.19 8.23 8.20 8.28 8.24 8.25 8.24
Sanple size, n = 15
Sample mean, xbar = Σx / n = 123.45 / 15 = 8.23
The sample standard deviation, s = √(x -xbar)²/n-1
Using calculator :
Sample standard deviation, s = 0.03116
s = 0.031 (3 decimal places)
The 95% confidence interval :
C.I = xbar ± (Tcritical * s/√n)
Tcritical at 95%, df = 15 - 1 = 14
Tcritical = 2.145
C.I = 8.23 ± (2.145 * 0.031/√15)
C.I = 8.23 ± 0.0171689
C.I = (8.213 ; 8.247)
Answer:
I'm glad you asked!
Step-by-step explanation:
x = So the starting number is 1.
.So it is .
.So it is now .
.Your final answer is
Step-by-step explanation:
Triangles ABC and DEF are congruent.
The letter B is the 2nd letter in 'ABC'.
Likewise, the letter E is the 2nd letter in 'DEF'.
Therefore Angle B = Angle E.
Answer:
Here is the full question:
Find the sum of the convergent series by using a well-known function. (Round your answer to four decimal places.) Σ_(n=1)^∞ (-1)^n+1 1/7^n n
Step-by-step explanation:
Σ_(n=1)^∞ (-1)^n+1 1/7^n n
We will use the function In (1 + x)
We will now give a power series expansion of the function while it is centered at x=0
This will give us In (1 + x) = Σ_(n=1)^∞
Note that x= 1/7
Now let us equate the two equations
Σ_(n=1)^∞ = ㏑(1 + x)| = ㏑
Sum of the series will give ㏑