Answer:
First is a 90Âş rotation (counter-clockwise) with respect to the origin.
Step-by-step explanation:
Answer:
show me the graphs please
The pyramid given above has four faces. Each of which are in triangular shape. The area of the triangle is calculated through the equation,
A = bh / 2
where A is area, b is base and h is the height.
Substituting the known values,
A = (4 inch)(9 inch) / 2 = 18 in²
Multiplying this area by 4 will give us an answer of 72 in².
Then, we also calculate for the area of the square base.
A = s²
where s is the measure of each side of the square.
A = (4 in)² = 16 in²
Finally, we add up the calculated areas.
surface area = 72 in² + 16 in²
<em>surface area = 88 in²</em>
Hence, the surface area of the figure is equal to 88 in².
Answer:
a) 6x³ − 5x² − 39x + 35
b) no
Step-by-step explanation:
(2x − 5) (3x² + 5x − 7)
Distribute:
3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)
Distribute again:
6x³ − 15x² + 10x² − 25x − 14x + 35
Combine like terms:
6x³ − 5x² − 39x + 35
5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).
Answer:
The standard deviation of the number of runs required is 2447.26
Step-by-step explanation:
For each run, there are only two possible outcomes. Either the program fails, or it does not. The probability of the computer failing during a run is independent of other runs. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation for the expected number of trials for r sucesses is:

A computer program has a bug that causes it to fail once in every thousand runs, on average.
This means that 
In an effort to find the bug, independent runs of the program will be made until the program has failed six times. What is the standard deviation of the number of runs required?
This means that r = 6. So

The standard deviation of the number of runs required is 2447.26