Answer:
P = 0.0008 (non rounded answer is 0.000771605)
Step-by-step explanation:
You first need to determine how many different ways you can roll a 7 using 2 dice. You options are...
First Die Second Die
1 6
2 5
3 4
4 3
5 2
6 1
There are six different ways to roll a 7. If you do the same for all possible numbers, you will see that there are 36 total options when rolling two dice. The first die has six options, and the second die also has 6 options. 6x6 = 36. (This is the fundamental counting principal you have have leared in statistics)
So the chances of rolling a 7 one time with two dice is 1/6. Since repeated rolling of dice is an independent event (any roll has no effect on the next roll), you multiply the probabilities of each event.
So the probability of rolling a 7 four times in a row is
(1/6)(1/6)(1/6)(1/6), which simplifies to 1/6^4, or 1/1296,
Probability is written in decimal form, and usually rounded to 4 decimal places.
1/1296 = 0.000771605, or 0.0008 rounded to 4 decimals
Answer:
the three even integers are -28, -26 and -24.
Step-by-step explanation:
Represent the three numbers as follows:
n
n+2
n+4
Their sum is n + n+2 + n+4 = -78.
Combining the n terms, we get:
3n + 6 = -78, or
3n = -84
Then n = -84/3, or n = -28.
Then the three even integers are -28, -26 and -24.
Answer:
To maximize the monthly rental profit, 90 units should be rented out.
The maximum monthly profit realizable is $38,200.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point 
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at 
, and it's value is 
.
In this question:
Quadratic equation with 
To maximize the monthly rental profit, how many units should be rented out?
This is the x-value of the vertex, so:
To maximize the monthly rental profit, 90 units should be rented out.
What is the maximum monthly profit realizable?
This is p(90). So
The maximum monthly profit realizable is $38,200.
Answer:
A
Step-by-step explanation:
Answer:
(x – 1)(x^2 + x + 1) = x^3 - 1.
(x + 4)(x^2 - 4x + 16) = x^3 + 64.
Step-by-step explanation:
The identities are:
(a - b)(a^2 + ab + b^2) = a^3 - b^3 and
(a + b)(a^2 - ab + b^2) = a^3 + b^3
