Answer:
A
Step-by-step explanation:
Its simple
Answer:
X2 = 1.0792
Y2 = 2.0594
ΔX = 4.0792
ΔY = 3.0594
θ = 36.869897645844°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
OR
X2 = -7.0792
Y2 = -4.0594
ΔX = -4.0792
ΔY = -3.0594
θ = 216.86989764584°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
Answer:
28 minutes
Step-by-step explanation:
we know that
1) A factory manufactures a metal piece in 32 minutes
2) New technology allowed the factory to cut that time by 8%
Remember that

In this part 32 minutes represent the 100%
To find out how long it take to manufacture the piece, multiply 32 minutes by the factor 0.92

3) Then another improvement cut the time by 5%
Remember that

In this part 29.44 minutes represent the 100%
To find out how long it take to manufacture the piece now, multiply 29.44 minutes by the factor 0.95

The value of V is -0.5, I believe.
The probability of winning is 4/13.
These two events are not mutually exclusive; this means they can happen at the same time. For two events that are not mutually exclusive,
P(A or B) = P(A) + P(B) - P(A and B)
This gives us
P(spades or Ace) = P(spades) + P(Ace) - P(spades and Ace)
There are 13 spades out of 52 cards.
There are 4 aces out of 52 cards.
There is 1 card that is a spade and an ace out of 52 cards.
13/52 + 4/52 - 1/52 = 16/52 = 4/13