The probability is 8 out of 20 or 40 percent
Answer:
The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.
Domain: -3, -5, -6, -9, 0
Range: 7, -8, -1, -3
Is it a function? Yes
9514 1404 393
Answer:
$62.74
Step-by-step explanation:
The annuity formula can be used to find the payment needed. Fill in the known values and solve for the unknown.
The future balance due to a series of payments is given by ...
A = P(n/r)((1 +r/n)^(nt) -1)
where A is the account balance P is the payment made each period, n is the number of periods per year, r is the annual interest rate, and t is the number of years.
You have A = $20,000, r = 0.041, n = 12, t = 18 and you want to find P
P = A(r/n)/((1 +r/n)^(nt) -1)
P = $20,000(0.041/12)/((1 +0.041/12)^(12·18) -1) ≈ $62.74
A monthly payment of $62.74 is required.
Answer:
See below.
Step-by-step explanation:
I see there are no answer choices you've provided, but in order to interpret a confidence interval correctly, you might say something like "We are 90% confident that the true difference in the mean number of drops is contained within the interval".
Answer:

Step-by-step explanation:

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).
Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

The -4x and 4x are opposites, so they cancel out.
Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

Divide both sides by 8.

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

Simplify.

Add 2 to both sides.

Divide both sides by 4.

The final answer is
.
