Answer:
I'm pretty sure it's a
Step-by-step explanation:
step by step
We need to solve for x. Let's try problem b:

Let us first combine line terms. 3x and -x as well as 1 and -7 can be combined. Let's do that:

Since this is true, your answer would be:
All real numbers
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Let's solve for problem c:

Let's isolate x, so subtract 1 from both sides:

Since x can't have a coefficient, divide both sides by 3:


So, only the value of 14 would make this equation true.
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Let's try problem d:

Let's get our whole numbers on the right side. Add 1 to both sides:

Subtract 4x from the right side on both sides:

Since this is not true, your answer would be:
No solution
Answer:

Step-by-step explanation:
Using the rule of exponents
×
⇔
, thus
×
=
= 
When the dilation is around the origin, we just have to multiply each coordinate by the scale factor.
We're starting from A(2,2), B(2,5), C(6,5) and D(6,2) and scaling by 3 so the image A'B'C'D' is
Answer: A'(6,6), B'(6,15), C'(18,15), D'(18,6)
Answer:
36.58% probability that one of the devices fail
Step-by-step explanation:
For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.
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 combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A total of 15 devices will be used.
This means that 
Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.
This means that 
What is the probability that one of the devices fail?
This is 


36.58% probability that one of the devices fail