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3 years ago

Find the limit, if it exists. (If an answer does not exist, enter DNE.)

Mathematics

1 answer:

Charra [1.4K]3 years ago

6 0

Note that your function can be written as

$\begin{cases}\frac{2-(-x)}{2+x}&\text{if } x0\end{cases} = \begin{cases}\frac{2+x}{2+x}&\text{if } x0\end{cases} = \begin{cases}1&\text{if } x0\end{cases}$

So, if x is negative, your function is identically equal to 1. In particular, the limit as x approaches -2 will be 1 as well.

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The average smoker typically pays 15% higher life insurance costs than the average non-smoker. If the monthly cost to a non-smok

Licemer1 [7]

C the is the correct answer

5 0

3 years ago

Jacob is tiling his square walk with square tiles. He is able to fit 5 tiles up and 5 tiles across. If each tile has a length of

frozen [14]

Answer:

The perimeter of the kitchen wall = 60 b

Step-by-step explanation:

The number if tiles used in the length side of the square walk = 5 tiles

The length of 1 tiles = 3 b

So, the length of 5 tiles = 5 x ( Length of 1 tile)

= 5 x (3 b) = 15 b

So, the length of the square walk = 1 5 b

Perimeter of SQUARE = 4 x SIDES

⇒ Perimeter of the wall = 4 x (Side)

= 4 x (15 b) = 60 b

Hence, the perimeter of the kitchen wall = 60 b

8 0

3 years ago

The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is

adelina 88 [10]

Answer:

The standard error of the mean is 0.02

Step-by-step explanation:

Here, we want to calculate the standard error of the mean.

Mathematically;

standard error of mean = SD/ √n

where SD is the standard deviation and n is the number of samples

From the question, SD = 0.22 and n = 121

Inserting this into the equation

Standard error of the mean = 0.22/√121

= 0.22/11 = 0.02

6 0

2 years ago

When f(x) = -3, what is x?

julia-pushkina [17]

Answer:

not enough info

Step-by-step explanation:

f times x equals -3 there could be many answers like f is 1 x is -3 or f is -3 x is 1 and more

3 0

2 years ago

It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random

Rzqust [24]

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

$\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9$

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample t-test will be used.

The correct option is b.

(2)

The null hypothesis is:

H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

$SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F$

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

$t=\frac{\bar x-\mu}{SD_{\bar x}}$

$=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67$

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

= 9 - 1

= 8

Thus, the degrees of freedom of the test is 8.

8 0

2 years ago