Answer:
Yes
Step-by-step explanation:
If you graph it... and they intersect there is a sloution.
soloution!:y=0
x=-1.5
The correct answer would be D, because there’s no other leading common factors between the two besides one.
Answer:
99.9973 %
Step-by-step explanation:
This is a binomial probability distribution.
Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.
Since there are 3 welds and we require at least one being defective, our binomial probability is
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × 0.000027 × 1 = 1 - 0.000027 = 0.999973 × 100% = 99.9973%
Hey there :)
We know the area formula of a triangle

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9
Apply the formula
56 =

× ( p ) × ( p - 9 )
56 =

× ( p² - 9p )
Divide

on both sides
56 ÷

= p² - 9p
112 = p² - 9p
Bring 112 to the other side and equate equation to 0
p² - 9p - 112
Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative
So, the length of the base is 16 mCheck:
56 m² =

× 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²