Answer:
The correct option is 1.
Step-by-step explanation:
The difference of cubes is defined as

The given expression is

It can be written as

Using the property of exponent, the above expression can be written as
![[\because (x^m)^n=x^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28x%5Em%29%5En%3Dx%5E%7Bmn%7D%5D)
This is a difference of cubes.
Therefore the correct option is 1.
Answer:
B and D
Step-by-step explanation:
Answer:
$1307.69
Step-by-step explanation:
Let the original investment be x.
Note that a 30% increase in a value is equal to multiplying a value by 130% and a withdrawal is to take out money. The final amount is $1500. Let’s write the equation with the information we have.
Equation:
130%x - 200 = 1500
(130/100)x = 1700
x = 1700(100/130) = $1307.69
I hope this helps! :)
12/100x10000 = 1200
17/100x8000= 1360
1360+1200 = 2560
18000 - 2560 = $15,440 (final cost)
Answer:
The probability that five cars will arrive during the next thirty minute interval is 0.0127.
Step-by-step explanation:
Let <em>X</em> = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.
The average number of cars arriving in 20 minutes is, 8.
The average number of cars arriving in 1 minute is,
.
The average number of cars arriving in 30 minutes is,
.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 12.
The probability mass function of <em>X</em> is:

Compute the probability that 5 cars will arrive in 30 minutes as follows:



Thus, the probability that five cars will arrive during the next thirty minute interval is 0.0127.