Firstly, the rate of increase of Canton = 80/7720 = 0.010
The rate of increase of HP = 120/3200 = 0.0375
Apply the formula of compound interest==> A =A'(1+i)^n
The population will be equal when the following equality is satisfied
7720(1+0.01)^n = 3200(1+0.0375)^n
or
7720x1.01^n = 3200x1.0375^n
Divide both sides by 3200 ===>(193/80)x1.01^n=1.0375^n
C = sin⁻¹ (sin(B) * c / b) = sin⁻¹ (sin [90degrees] * 6 / 12.00) = 30 degrees
Answer:
-1,2
Step-by-step explanation:
To evaluate the probability that the lifespan will be between 1440 and 1465 hours will be given by:
P(1440<x<1465)
using the z-score formula we obtain:
z=(x-μ)/σ
where:
μ=1450
σ=8.5
hence
when x=1440
z=(1440-1450)/8.5
z=-1.18
P(z<-1.18)=0.1190
when x=1465
z=(1465-1450)/8.5
z=1.77
P(z<1.77)=0.9625
hence:
P(1440<x<1465)
=0.9625-0.1180
=0.8445
Answer: (14, 5)
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Explanation:
Translating 5 units to the right means x becomes x+5. Whatever the x coordinate is, we add on 5.
Translating 4 units down means we go from y to y-4.
Overall, the point (x,y) becomes (x+5, y-4).
We can write the compact notation 
So for the specific point given, we can say:
The point (9,9) shifts to (14, 5)
