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3 years ago

Find the interval in which the function is negative.

Mathematics

1 answer:

DedPeter [7]3 years ago

3 0

Answer:

B. II only . . . (-1, 4)

Step-by-step explanation:

The function factors as ...

f(x) = (x +1)(x -4)

The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...

(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)

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3 years ago

Read 2 more answers

Nine less than a number is five greater then four times the number

g100num [7]

N - 9 = 5 + 4N

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3 years ago

Use technology or a z-score table to answer the question.

Alik [6]

Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question,

$\mu = 240$ .
$\sigma = 9.3$ .

Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

Keep in mind that the probabilities on many z-table correspond to probability of $P(Z \le z)$ (where $Z$ is no greater than one value.) Therefore, apply the identity $P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1)$ to rewrite $P(-1.61 \le Z \le 0.54)$ as the difference between two probabilities:

$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

$P(Z \le 0.54)\approx 0.70540$ .
$P(Z \le -1.61) \approx 0.05370$ .

$\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}$ .

3 0

4 years ago

Which of the points plotted below satisfy the equation in the box? <br><br>Check all that apply.

coldgirl [10]

Im not 100% sure but, this is how I solved the problem. Just plug the coordinates into the equation. For example, (3,9) x=3 and y=9.
the equation is y=x*3 so 9=3*3 and 3*3=9 so that point is true. If you continue to do the same thing for all the point you should get F,C, and D

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4 years ago

Is 1.436 greater than 25/2

Alex Ar [27]

Answer:1.75 (1 3/4) is greater than 1 1/2. 0.25 is equivalent to 1/4. 0.2185 is not equal to 1/3, and 1.436 is less than 25/2 (12 1/2), hope it helped

Step-by-step explanation:

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4 years ago