Answer:
14x - 2
Step-by-step explanation:
2(7x - 1)
Distribute the 2
2*7x - 2*1
14x - 2
Answer:
We Know, Area = Length * Width
Here, A = 3
W = 1/2
Substitute it into the expression,
3 = L * 1/2
L = 3/ 1/2
L = 3/2 ft²
So, the length of the rectangle would be 3/2 ft²
<u>Hope this helps! :)</u>
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Answer:
The expected value of the safe bet equal $0
Step-by-step explanation:
If
is a finite numeric sample space and
for k=1, 2,..., n
is its probability distribution, then the expected value of the distribution is defined as
What is the expected value of the safe bet?
In the safe bet we have only two possible outcomes: head or tail. Woodrow wins $100 with head and “wins” $-100 with tail So the sample space of incomes in one bet is
S = {100,-100}
Since the coin is supposed to be fair,
P(X=100)=0.5
P(X=-100)=0.5
and the expected value is
E(X) = 100*0.5 - 100*0.5 = 0
Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...

We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
At a price of $8 per unit, suppliers are willing to provide 6 units. How many units are consumers interested in purchasing at a price of $4 a unit? At eight units consumers are interested in purchasing at a price of $4 a unit.