Based on the positions of angles AFC and EFC, the relationship between them is a Complimentary angle.
<h3>How are AFC and EFC related?</h3>
Angles AFC and EFC are complimentary angles because complimentary angles are angles that add up to 90 degrees.
Looking at the shape, Line FC divides the right angle to create angles AFC and EFC so when these are added together, they equal 90 degrees.
In conclusion, angles AFC and EFC are complimentary.
Find out more on complimentary angles at brainly.com/question/20728641.
#SPJ1
Answer:
Step-by-step explanation:
Hello!
Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"
X~Bi (n;ρ)
ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95
n= 390
x= 303
sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78
Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.
You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:
^ρ±
* √[(^ρ(1-^ρ))/n]
= 
= 2.58
0.78±2.58* √[(0.78(1-0.78))/390]
0.0541
[0.726;0.834]
With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.
I hope it helps!
Answer:82+31=113 180-113=67 so the answer is 67
Step-by-step explanation:
Length = x + y
Area of a square = Length x Length
The expression can be :
1) Area of the square = (x + y)(x + y)
2) Area of the square = (x + y)²
3) Area of the square = x² + 2xy + y²
Answer:
Γ = 15
Step-by-step explanation:
Given
f(x) = x² - 8x + Γ
with a = 1, b = - 8 and c = Γ , then
sum of zeros α + β = - 
= - 
= 8
product of zeros = αβ = 
= Γ
Given α - β = 2 , then
(α - β)² = 2²
α² - 2αβ + β² = 4 → (1)
and
(α + β)² = 8²
α² + 2αβ + β² = 64 → (2)
Add (1) and (2) term by term
2α² + 2β² = 68 ( divide through by 2 )
α² +β² = 34
Substitute α² + β² = 34 into (1)
34 - 2αβ = 4 ( subtract 34 from both sides )
- 2αβ = - 30 ( divide both sides by - 2 )
αβ = 15
Now
αβ = Γ = 15
Thus
f(x) = x² - 8x + 15
