If the 2 is an exponent, it should be marked as such.
“3x2” means 3x⋅2
“3x^2” means 3x²
3x²+8x = 0
Discriminant = 8²-4(3)(0) = 64
The angle missing is at least 90 degrees
Answer:
80% probability that it will take Victoria greater than 8 minutes (total) for a puzzle that she has already been working on for 7 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X greater than x is given by the following formula.
Uniformly distributed random time between 4 minutes and 12 minutes.
This means that
What is the probability that it will take Victoria greater than 8 minutes (total) for a puzzle that she has already been working on for 7 minutes?
Already working for 7 minutes, so a is updated to 7.
80% probability that it will take Victoria greater than 8 minutes (total) for a puzzle that she has already been working on for 7 minutes
Answer:
2.5n is larger than or equal to (> with the line under) 5.25
Step-by-step explanation:
let's say the number is "n"
2 1/2 of n is at least 5 1/4
at least is a synonym to larger than or equal to, which is the fourth symbol, >_ with the line underneath.
The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
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