Answer:
Step-by-step explanation:
<u>Equations</u>
We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:
Rearranging
Factoring:
There are two solutions:
The second case requires us to find the value of x such that
Rearranging
This second-degree equation has no real roots. We'll offer the imaginary (complex) solutions:
Answer:
either 40 or 140
Step-by-step explanation:
Answer:
For part a you need to factor. X to the power of 2 is 2x. when you add it its turns into 2x+10x+16=0
2x+10x=12x
12x+16 will be your final answer
Step-by-step explanation:
Answer: point estimate = 3.88
Margin of error = 0.63
Step-by-step explanation:
Confidence interval is written in the form,
(Point estimate - margin of error, Point estimate + margin of error)
The sample mean, x is the point estimate for the population mean. Let m represent the margin of error. Since the confidence interval is given as (3.25 , 4.51), it means that
x - m = 3.25
x + m = 4.51
Adding both equations, it becomes
2x = 7.76
x = 7.76/2
x = 3.88
Substituting x = 3.88 into x + m = 4.51, it becomes
3.88 + m = 4.51
m = 4.51 - 3.88
m = 0.63
