Hello! The two pieces are 15 inches and 21 inches
Answer:
x = 5.2
Step-by-step explanation:

Let's first simplify our first function:

Now, we just need to set this function equal to our other given function.

Now, we can add 12 to both sides:

Now, add 5x to both sides:

Finally, we'll divide both sides by 5:

Answer: x = 5.2
Answer:
0.01083 or 1.083%
Step-by-step explanation:
This problem can be modeled as a binomial probability model with probability of success p = 0.56.
The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:

The probability is 0.01083 or 1.083%.
Answer:
A
Step-by-step explanation:
The formula that relates current, power and resistance is

Where
I is the current (in amperes)
P is the power (in watts)
R is the resistance (in ohms)
We know P = 500 and R = 25, we plug them into the formula and solve for I:

Correct answer is 4.47 Amperes, or choice A.