All categories

2 years ago

PLEASE HELP

Mathematics

1 answer:

butalik [34]2 years ago

3 0

Answer:

The function is decreasing from x=1 to x=8

Step-by-step explanation:

You might be interested in

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

3 years ago

A rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes. What is the rockets rate of change

tamaranim1 [39]

The rockets rate of change in miles per second is: (5 - 1)/(2.5*60 - 30) = 1/30 miler per second or 0.033 the rockets rate of change in miles per minute is: (5 - 1)/(2.5 - 30/60) = 2 miles per minute

6 0

2 years ago

What is the value of x? a. -16 b. 120 c. 60 d. 16

Naily [24]

D is the answer to your question

7 0

2 years ago

Read 2 more answers

Write 0.423 as a percent

Oliga [24]

If you would like to write 0.423 as a percent, you can calculate this using the following step:

0.423 * 100% = 42.3%

The correct result would be 42.3%.

8 0

3 years ago

Read 2 more answers

Surface area of a cube or a rectangular prism

suter [353]

Answer:

96 cm^2

Step-by-step explanation:

All faces of a cube are equal in area.

Therefore the Formula for SA of a cube is 6*s^2

SA = 6*4*4 = 96

5 0

2 years ago