Answer:
m=slope =5.5
Step-by-step explanation:
(2)
you may choce (c)
y-y1=m (x-x1)
(3)
y-30=5.5 (x-10)
y-30=5.5x-55
move 30 other side
y=5.5x-55+30
y=5.5x-25
PLZ IF U LIVE IT MARK IT BRANLIEST
Answer:
(a) and are indeed mutually-exclusive.
(b) , whereas .
(c) .
(d) , whereas
Step-by-step explanation:
<h3>(a)</h3>
means that it is impossible for events and to happen at the same time. Therefore, event and are mutually-exclusive.
<h3>(b)</h3>
By the definition of conditional probability:
.
Rearrange to obtain:
.
Similarly:
.
<h3>(c)</h3>
Note that:
.
In other words, and are collectively-exhaustive. Since and are collectively-exhaustive and mutually-exclusive at the same time:
.
<h3>(d)</h3>
By Bayes' Theorem:
.
Similarly:
.
Answer:
1.91 hectares
Step-by-step explanation:
Geometric growth rate formula =
Nt = Noλ^t
Step 1
We find the geometric growth rate(λ)
The formula is :
λ = (Nt/No)
Nt = 1.13 hectares
No = 0.67 hectares
t = 1
λ =( 1.13/0.67)
λ = 1.6865671642
Step 2
After another 1 year, the butterflies will cover:
No = 1.13 hectares
λ = 0.6865671642
Nt = Noλ^t
Nt = 1.13 × 1.6865671642^1
Nt = 1.9058208955
Approximately ≈ 1.91 hectares.