Answer:
There is a 73.11% probability that at least 2 machines will break down on a given day.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
There are 4 machines, so 
.
The probability that on a given day any one machine will break down is 0.53. This means that 
.
What is the probability that at least 2 machines will break down on a given day?
In which
So
There is a 73.11% probability that at least 2 machines will break down on a given day.
Answer:
4
Step-by-step explanation:
1+1+1+1 or 2 + 2
Apple exist in the world. This particular tree only have 4 perfect apples total. Because you only have one friend, they help you pick 2 out of the 4 apples. Then you pick 2 of the other apple. Without dropping or eating them, he gave both of his apple to you . How many apple do you have without dropping or eating them?
let's recall the remainder theorem.
we know that (x-1) is a factor, that means x -1 = 0 or x = 1.
since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.
![f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bkx-11%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C%5Cstackrel%7B0%7D%7Bf%281%29%7D%3D3%281%29%5E3%2Bk%281%29-11%5Cimplies%20%5Cstackrel%7Bf%281%29%7D%7B0%7D%3D3%2Bk-11%5Cimplies%200%3D-8%2Bk%5Cimplies%208%3Dk)
Answer:
Step-by-step explanation:
Use the Law of Cosines to find the measure of angle A from the lengths of the sides.
A = arccos[(b²+c²-a²)/(2bc)] ≅ 29.9°
B = arccos[(a²+c²-b²)/(2ac)] ≅ 54.8°
C = 180 - A - B = 95.3°
Answer:
<em>A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle.</em>
Step-by-step explanation:
Hope this helps
Have a nice day :)
