What is the solution to this inequality? (x | x < 7)
1 answer:
Answer: The answer is at the bottom.
Step-by-step explanation:
Write
x
|
x
|
<
7
as a piecewise.
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{
x
2
<
7
x
≥
0
−
x
2
<
7
x
<
0
Solve
x
2
<
7
when
x
≥
0
.
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0
≤
x
<
√
7
Solve
−
x
2
<
7
when
x
<
0
.
Tap for more steps...
x
<
0
Find the union of the solutions.
x
<
√
7
The result can be shown in multiple forms.
Inequality Form:
x
<
√
7
Interval Notation:
(
−
∞
,
√
7
)
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Answer:
The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
A confidence interval has two bounds, the lower and the upper
Lower bound:
Upper bound:
In this problem, we have that:
Lower bound:
Upper bound:
The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.
For this case we have the following function:
By definition, we have that a linear equation is of the form
On the other hand, a quadratic equation is of the form
Then, the given equation is not a linear equation, it is not of the form
Answer:
No, the equation is not linear. It is not of the form