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:
None
Step-by-step explanation:
-4x-11=2(x-3x)+13
-4x-11=2x-6x+13
-4x-11=-4x+13
-11=13
Therefore, there are no solutions for the equation as both sides will never be equal to each other.
Answer:
So the answer for this case would be n=220 rounded up to the nearest integer
Step-by-step explanation:
Information given
represent the population deviation
represent the margin of error
The margin of error for the true mean is given by this formula:
(a)
And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (4) we got:
(b)
The critical value for 90% of confidence interval now can be founded using the normal distribution. The significance level is
and the critical value would be
, replacing into formula (b) we got:
So the answer for this case would be n=220 rounded up to the nearest integer
Let the numbers be x = 5x+18
3(5x+18) + 4x= 16
15x+ 54+ 4x= 16
19x = 16-54
X=-38/19
X= -2
5x+18= 5 × -2+18 = 8
Answer:

Step-by-step explanation:
Using the rule of exponents
⇔ 
Given
=
= 