Answer:
x = 8
Step-by-step explanation:
Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.
ABC + DBC = 90
6x+13+4x−3 = 90
10x+10 = 90
10x = 80
x = 8
2(5n-2)=4(n+2)
10n-4=4n+8
6n-4=8
6n=12
n=2
5) k/35=3/7 : cross multiply
35*3=7k : simplify
105=7k : divide both sides of the equation by 7
k=15
6) 3/t=18/24 :cross multiply
18t=24*3 :simplify
18t=72 : divide both sides of the equation by 18
t=4
7) 10/8.4 = 5/m :cross multiply
10m=5 * 8.4 :simplify
10m=42 :divide both sides by 10
m=4.2
Answer:
1. 4/5
2. 80%
Step-by-step explanation:
Answer:
Company B
Step-by-step explanation:
We would use z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8
let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4
z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897 = -2.76
z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765 = 2.35
Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a z score of 2.35 compared to company A with a z score of -2.76.