Answer:
the answer is
3a/2
Step-by-step explanation:
1/2 × 3a = 3a/2
Answer:
168
Step-by-step explanation:
Answer:
1. 63
2. 49°
3. 87°
4. 44°
Step-by-step explanation:
First, I worked out Angle 3 as this angle and 93° are on a straight line:
So I made an equation:
180 = 93 + Angle 3
180-93 = Angle 3
87 = Angle 3
Now we have enough information for Angle 4 as angles in a triangle add up to 180
87 + 49 + Angle 4 = 180
Angle 4 = 180 - 87 - 49
Angle 4 = 44
Using the rule of opposite angles:
I worked out that Angle 2 must be 49 as well.
This is now enough information to work out Angle 1 as angles in a triangle add up to 180
49 + 68 + Angle 1 = 180
Angle 1 = 180-49-68
Angle 1 = 63
Answer:
Step-by-step explanation:
standard deviation σ =5000
Mean μ = 36500
X = 30000
Probability that tire fails to reach 30000 miles
P(< 30000) = P( z < (30000-36500) / 5000 )
= P ( z < - 1.3 )
= .0968 ( from z table )
refund per mile = .01
refund for 30000 mile = .01 x 30000 = 300
expected cost of promotion
= 300 x .0968
= 29.04
b )
refund of $50 is equivalent to shortage of milage by 50 / .01 = 5000 miles
Probability of miles less than 30000 - 5000 = 25000
P ( X < 25000 ) = P ( z < (25000 - 36500) / 5000 )
P ( z < - 2.3 )
= 0.0107 Answer .