Each tricycle has 3 wheels and one seat, so the ratio of seats to wheels is 1:3
(x + y)^2 = (x^2 - 2xy + y^2)
First distribute the ^2 on the left side of the equation to each term inside the parenthesis:
x^2+ 2xy + y^2
Now pick one of the variables to solve for and isolate it:
(solving for x)
x^2 + 2xy + y^2 = x^2 - 2xy + y^2
x^2+ 2xy = x^2 - 2xy
2xy = -2xy
-x = x
x = 0
When you solve for y in the equation it will turn out to be 0 as well
We can use the binomial theorem to find the probability that 0 out of the 15 samples will be defective, given that 20% are defective.
P(0/15) = (15C0) (0.2)^0 (1 - 0.2)^15 = (1)(1)(0.8)^15 = 0.0352
Then the probability that at least 1 is defective is equal to 1 - 0.0352 = 0.9648. This means there is a 96.48% chance that at least 1 of the 15 samples will be found defective. This is probably sufficient, though it depends on her significance level. If the usual 95% is used, then this is enough.
Answer:
The answer is below
Step-by-step explanation:
The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed
Answer:
To solve the problem, the depth of the water would be equated to the position of the river bottom.

Answer:
The length of one side is 13 feet.
Step-by-step explanation:
To start, a square is 4 sides that are equal in length. This means that when you have a problem like this, you need to set the equations equal to each other like:

In order to solve a problem like this, with the same variables on different sides, start by subtracting the smaller variable from both sides. In this case, you would be subtracting 2x from both sides, which would leave us with:

After that, you solve it like a normal one-step equation. Add 11 to both sides.
Now, divide both sides by 4 and you will know how much
is worth.

Now that we know how much
is worth, we can plug that into either of the equations given to us. It doesn't matter which since they are equal to each other.

That would give us 13.