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3 years ago

Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared minus one.

1 answer:

4 0

The given function is:
x^2 - 1
We want to calculate the limit of this function as x approaches zero. To do so, we will use direct substitution.
We will substitute the x with 0 in the given function to calculate its limit as follows:
Limit as x approaches 0 = (x)^2 - 1 = -1

Therefore, the correct choice is:
-1

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Can someone explain to me how to find mean/median of a data set real quick?

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3 years ago

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Lucy Baker is analyzing demographic characteristics of two television programs, American Idol (population 1) and 60 Minutes (pop

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Answer:

Alternative hypothesis: $\mu_1 -\mu_2 \neq 0$

Or in the alternative way would be:

Alternative hypothesis: $\mu_1 \neq \mu_2$

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the claim that they want to test is: "The means for the two groups (American Idol and 60 Minutes) is the same". So we want to check if we have significant differences between the two means, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Null hypothesis: $\mu_1 -\mu_2 = 0$

This null hypothesis can be expressed like this:

Null hypothesis: $\mu_1 = \mu_2$

Alternative hypothesis: $\mu_1 -\mu_2 \neq 0$

Or in the alternative way would be:

Alternative hypothesis: $\mu_1 \neq \mu_2$

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3 years ago

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Answer:

B) Information about exponential notation

Step-by-step explanation:

The information on the page is about exponential notation, therefore option (B) is the most suitable.

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2 years ago

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Which of the following is the solution to the following systems of inequalities? (picture included)

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Answer:

C. (see the attachment)

Step-by-step explanation:

Both inequalities include the "or equal to" case, so both boundary lines will be solid. That excludes choices A and D.

The first inequality is plotted the same way in all graphs, so we must look at the second inequality. The relationship of y and the comparison symbol is ...

-y ≥ (something)

If we multiply by -1, we get ...

y ≤ (something else)

This means the solution space will be on or below (less than or equal to) the boundary line. This is the shaded area in graph C. (Graph B shows shading above the line.)

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Further comment

Since the boundary for the second inequality is fairly steep, "above" and "below" the line can be difficult to see. Rather, you can consider the relationship of x to the comparison symbol. For the second inequality, that is ...

x ≥ (something)

indicating the solution space is on or to the right of the boundary line.

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3 years ago