Answer:
Proof in explanation.
Step-by-step explanation:
I'm going to attempt this by squeeze theorem.
We know that 
is a variable number between -1 and 1 (inclusive).
This means that 
.
for all value 
. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.
By squeeze theorem, if
and 
, then we can also conclude that 
.
So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at 
.
.
We can finally conclude that 
by squeeze theorem.
Some people call this sandwich theorem.
Answer: x<2, (negative infinity, 2)
Step-by-step explanation:
Answer:
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Answer:
y = 2x + 60
Step-by-step explanation:
Use the equation for a line: y = mx + b
Where
x and y are points on the graph
and m is the slope, and can be found by finding 
so the slope is 10/5 or 2, since the graph goes up by 10 and over by 5.
so plug into the equation, and you get y = 2x + b
Next, pick a point on the graph, and plug in the x and y coordinates,
for example:
(x,y) = (5,70)
so, 70 = 2(5) + b
then solve for b
60 = b
Then rewrite the equation
y = 2x + 60
Answer:
Null hypothesis 
Alternative hypothesis 
Step-by-step explanation:
Consider the provided information.
The shower by an adult is 5 minutes.
The mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes.
We need to determine the appropriate null and alternative hypotheses.
A null hypothesis is there is no statistical significance between the two variables.
An alternative hypothesis is there is a statistically significant relationship between two variables.
Therefore the required null and alternative hypothesis are:
Null hypothesis
Alternative hypothesis
