Answer:
x > 3 or x < -2.2
Step-by-step explanation:
7+ 4|10x-4| > 111
4|10x-4| > 104
|10x-4| > 26
10x-4 > 26 or 10x-4 < -26
10x > 30 or 10x < -22
x > 3 or x < -2.2
Answer:
a) σ = 4933,64
b) CI 99% = ( - 5746 ; 7194 )
c) No difference in brands
Step-by-step explanation:
Brand 1:
n₁ = 8
x₁ = 38222
s₁ = 4974
Brand 2:
n₂ = 8
x₂ = 37498
s₂ = 4893
As n₁ = n₂ = 8 Small sample we work with t -student table
degree of freedom df = n₁ + n₂ - 2 df = 8 +8 -2 df = 14
CI = 99 % CI = 0,99
From t-student table we find t(c) = 2,624
CI = ( x₁ - x₂ ) ± t(c) * √σ²/n₁ + σ²/n₂
σ² = [( n₁ - 1 ) *s₁² + ( n₂ - 1 ) * s₂² ] / n₁ +n₂ -2
σ² = 7* (4974)² + 7*( 4893)² / 14
σ² = 24340783 σ = 4933,64
√ σ²/n₁ + σ²/n₂ = √ 24340783/8 + 24340783/8
√ σ²/n₁ + σ²/n₂ = 2466
CI 99% = ( x₁ - x₂ ) ± 2,624* 2466
CI 99% = 724 ± 6470
CI 99% = ( - 5746 ; 7194 )
As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups
7 minus the product of 2 and x in algebra is:
7 - 2x
The general equation of a circle is

where a and b are the x and y components of the center respectively.
In order to get into this format, we have to use a method that I'm drawing a blank on the same, my apologies about that.
Anyway, what you want is to first isolate the variable on side so now you have:

(you'll see why I rearranged this soon)
Now you have to make it into an equation that can be simplified into the format stated earlier.
So, You have to take the x & y terms (-4x & -8y in this case) divide them each by two, and then square them.
The result of this step is the equation:
Notice the new components that have been added (4 & 16) and how the have been
added to both sides. That is an important step.
Now we simplify and get:

So the coordinate of the center is: (2,4) and the radius is 5
Answer:
$576
Step-by-step explanation:
The equation for simple interest is I = PRT, where I is the interest earned, P is the principal/amount deposited, R is the rate as a decimal, and T is time in years.
I = (3200)(0.06)(3)
I = 576