Answer:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The mean for the binomial distribution is given by:
And the variance is given by:
And the deviation is just the square root of the variance so we got:
Answer:
The factorial of 11! is exactly 39916800
The number of trailing 0s in 11! is 2
The number of digits in 11 factorial is 8.
The factorial of 11 is calculated as below:
11! = 11 • 10 • 9 • 8 • 7 ... 3 • 2 • 1
Step-by-step explanation:
The answer would be b and c
Hello, the answer is x=-1/2
Here are the steps....
<span><span><span><span><span>−<span>7x</span></span>+12</span>+</span>−<span>2x</span></span>=<span>23+<span>13x</span></span></span><span><span><span>(<span><span>−<span>7x</span></span>+<span>−<span>2x</span></span></span>)</span>+<span>(12)</span></span>=<span><span>13x</span>+23</span></span>(Combine Like Terms)<span><span><span>−<span>9x</span></span>+12</span>=<span><span>13x</span>+23</span></span><span><span><span>−<span>9x</span></span>+12</span>=<span><span>13x</span>+<span>23
</span></span></span><span><span><span><span>−<span>9x</span></span>+12</span>−<span>13x</span></span>=<span><span><span>13x</span>+23</span>−<span>13x</span></span></span><span><span><span>−<span>22x</span></span>+12</span>=<span>23
</span></span><span><span><span><span>−<span>22x</span></span>+12</span>−12</span>=<span>23−12</span></span><span><span>−<span>22x</span></span>=<span>11
</span></span><span><span>−<span>22x</span></span><span>−22</span></span>=<span><span><span>11<span>−22</span></span></span></span><span>x=<span><span><span>−1</span>2</span></span></span><span>
</span>Hope this helps you!!
Answer:
y = -5x - 8
Step-by-step explanation:
Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.
Now plug in your points
Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.
Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept
2 = -5(-2) + b (b represents the y-intercept)
2 = 10 + b (subtract 10 from both sides)
-8 = b
The perpendicular line looks like this y = -5x - 8
Hope this helps ya! Keep smiling!