The probability that the cat lands on its feet both times it falls out of a tree is 0.85
<h3>How to determine the probability?</h3>
The probability that the cat lands on its feet is given as:
P(Feet) = 0.92
The probability that it lands on its feet twice is calculated using:
P = P(Feet) * P(Feet)
So, we have:
P = 0.92 * 0.92
Evaluate
P = 0.85
Hence, the probability is 0.85
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The formula for the area of a square is the side squared, or multiplied together.
Basically, if the side length is x, the area is x*x or x^2.
We can use that to set up an equation.
x^2=121
x=square root of 121=11
Hope this helps!
With annual compounding, the number of years for 1000 to become 1400 is 6.7 years
With continous compounding, the number of years for 1000 to become 1400 is 1.35 years
<h3>How long would it take $1000 to become $1,400?</h3>
With annual compounding, the formula that would be used is:
(In FV / PV) / r
Where:
- FV = future value
- PV = present value
- r = interest rate
(In 1400 / 1000) / 0.05 = 6.7 years
With continous compounding, the formula that would be used is:
(In 1400 / 1000) / (In e^r)
Where r = interest rate
((In 1400 / 1000) / (In e^0.05) = 1.35 years
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Both elevations or numbers are already expressed as a
rational number. This is because a rational number is defined as a number that
can be expressed as a quotient or fraction of two numbers:
p / q
Since in this case, q may be equal to 1, then both are
rational numbers.
<span>-3x + 2y = 2 eq (1)
7x - 3y = 7 eq (2)
Mutiply eq (1) by 3 and eq (2) by 2:
-9x + 6y = 6
14x - 6y = 14
Add th two new equations:
-9x + 14x = 6 + 14
=> 5x = 20
=> x = 20/5
=> x = 4
Now from eq (1)
-3(4) + 2y = 2
=> 2y = 2 + 12
=> 2y = 14
=> y = 14 / 2
=> y = 7
So the ordered pair is (4,7)
Answer: option B. (4,7)
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