Answer:
x=3
Step-by-step explanation:
2(x+1)=x+5
Use the distributive property to multiply 2 by x+1.
2x+2=x+5
Subtract x from both sides.
2x+2−x=5
Combine 2x and −x to get x.
x+2=5
Subtract 2 from both sides.
x=5−2
Subtract 2 from 5 to get 3.
x=3
Answer:
z=-75/17
Step-by-step explanation:
Expand this equation:
-4z+8+4=-21z-63
-4z+21z=-63-8-4
17z=-75
z=-75/17
Answer:
9/64
Step-by-step explanation:
For similar triangles, the ratio of areas is the square of the ratio of corresponding sides.
__
The ratio of areas is (3/8)² = 9/64.
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
Answer:
a) 150-90 = h(15.25 -9.75)
b) 10.91
Step-by-step explanation:
a) Jennifer has 150 -90 = 60 less in savings than Eduardo, but she is earning 15.25 -9.75 = 5.50 more per hour. An equation she can use to figure her hours is ...
60 = 5.50h . . . . for h hours worked.
In 'raw' form, that might be ...
150 -90 = (15.25 -9.75)h
__
b) Solving the above equation, we get ...
60/5.50 = h ≈ 10.90909 ≈ 10.91 . . . hours