Answer:
So the Solution is

Step-by-step explanation:
Solve for x: 4|2x − 2| + 10 = 34.
Step 1. Subtracting 10 on both the sides we get

Step 2. Dividing both the side by 4 we get

Step 3. Removing Modulus sign we get two values

So the Solution is

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:
$50 and
$30
Step-by-step explanation:
Question 1. Principal = $500
Rate = 5%
Time = 2yesrs
Interest = PRT /100
= 500 x 5 x 2 /100
= 5000/100
= $50
Interest = PRT/100
Principal P =$500
Rate = 3%
Time = 2 years
Therefore, interest =
500 x 3 x 2 /100
= 3000/100
= $30
X= 400/343 simplify each side of the equation and isolate the variable