Answer:
∠ ABC = 22°
Step-by-step explanation:
OA = OB ( radii of circle )
Then Δ OAB is isosceles with base angles congruent , that is
∠ OBA = ∠ OAB = 17x
The sum of the 3 angles in the triangle sum to 180°
17x + 17x + 11x = 180
45x = 180 ( divide both sides by 45 )
x = 4
Then
∠ OBA = 17x = 17(4) = 68°
BC is a tangent so ∠ OBC = 90°
∠ ABC = 90° - ∠ OBA = 90° - 68° = 22°
we do 2x-1/y=w+2/2z
2x-1/y we multiple each side y
2x-1/y×y=2x-1
then w+2/2z
we said×2z×2z
then we got
w+2
later
2x-1=w+2=
then 1 become another side
which is 1+2=3
then
w=3-2x
I hope it's correct
Answer:
a) 0.4164
Step-by-step explanation:
Mean lifespan (μ) = 18.8 days
Standard deviation (σ) = 2 days
For any given lifespan 'X', the z-score is:

For X=12.04 days:

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.
For X=18.38 days:

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.
The probability that a butterfly lives between 12.04 and 18.38 days is

Answer:
$110 and $30
Step-by-step explanation:
To solve this, we need to know the total share which is,

Then, you need to know the fraction of the share over the total, such that



So if to find how much that'll be of the $180 for the largest and smallest share,
Largest:

Smallest:
