Answer: Probability that a plant grows at a constant rate, given it is edible is given by .
Step-by-step explanation:
Let B be an event that getting a plant grows at a constant rate.
Since we have given that
The probability that a plant is edible is given by
The probability that a plant grows at a constant rate and is edible is given by
We will use "Conditional probability ", i.e.
Hence, Probability that a plant grows at a constant rate, given it is edible is given by .
Answer: C
Step-by-step explanation:
Example 3x+5c is an expression
Example 3x+5x=8x
P is the cost of a pound of peanuts and F is the cost of a pound of dried fruit
0.5p+0.75f=6.5
0.75p+0.25f=4.5
Rearrange
0.5p=-0.75f+6.5
Simplify
P=-1.25f+13
Substitute
0.75(-1.25f+13)+0.25f=4.5
simplify
-0.9375f+9.75+0.25f=4.5
<span>-0.6875f+9.75=4.5
</span>-0.6875f=-5.25
f=7.636364
Round
F=$<span>7.64 per pound
</span>
Plug in
0.75p+0.25(7.64)=4.5
Simplify
0.75p+<span>1.91=4.5
0.75p=</span><span>2.59
</span>p=3.453333
Round
P=$3.45 per pound of peanuts
Final
P=$3.45 per pound of peanuts
F=$7.64 per pound of dried fruit
Answer:
∑ₙ₌₁⁸ (3n − 9)
Step-by-step explanation:
This is an arithmetic series where the first term is -6 and the common difference is 3. The nth term can be written as:
aₙ = a₁ + d (n − 1)
aₙ = -6 + 3 (n − 1)
There are 8 terms in this series, so the sum is:
∑ₙ₌₁⁸ [-6 + 3 (n − 1)]
Simplified:
∑ₙ₌₁⁸ (3n − 9)
The answer is 11. 5(2) + 1= 10 + 1 = 11.