1. Assign an identifying variable to the quantity to be found.
2. Write a sentence stating conditions placed on the quantity.
3. Solve the sentence for the variable.
Answer:
Center: (6, -12)
Radius: 4
Step-by-step explanation:
<u>Complete the squares</u>
<u />
Comparing with the standard form equation 
, since 
, then the radius of the circle is 
. Also, the center of the circle would be 
.
Answer:
26
Step-by-step explanation:
To find the side length of a right triangle with the other two sides already, known, use the <em>Pythagorean Theorem, </em>
a²<em> </em>+ b² = c²
or
24² + 10² = x²
24 times 24 is 576,
10 times 10 is 100,
Add them together to get 676,
And then find the square root.
√676 = 26 :)
Answer:
And we can find this probability using the normal standard distribution table and we got:
And the percentage faster than 13.28 seconds would be 91.9%
Step-by-step explanation:
Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:
Where 
and 
We want to find this probability:
And we can use the z score formula given by:
Using this formula we have:
And we can find this probability using the normal standard distribution table and we got:
And the percentage faster than 13.28 seconds would be 91.9%
For this case we have the following equation:
P (t) = P (1 + r / n) ^ (n * t)
Where,
P: initial investment
r: interest
n: periods
t: time
she will take on her 45th birthday:
for t = 25:
P (25) = 1000 * (1 + 0.0165 / 4) ^ (4 * 25)
P (25) = 1509.31 $
Answer:
The future value of this investment when she takes her trip is:
P (25) = 1509.31 $
