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elena-14-01-66 [18.8K]
3 years ago
11

B) Complete the table to show the total amount of calories Mary will burn for

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

For 0 minutes she can burn 0 calories

For 10 minutes she can burn 20-40 calories

For 15 mins she can burn 40-60 calories

For 30 minutes she can burn 140-295 calories

I hoped this helped!

Have a great day/night! :)

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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
You have 16 new CDs to put on your empty five-shelf CD rack.
Mumz [18]
The answer is NO,because if you put 3 CDs or less in each shelf you only can put 15 (3*5=15), the same reason for both questions.
8 0
3 years ago
Find the least common multiple of 14 and 6.<br> Answer:
Oksanka [162]

Answer:

42

Step-by-step explanation:

First I multiplied 14 by 6, obtaining 84.  Next, I divided that by 2, obtaining 42.  This 42 is evenly divisible by both 14 and 6.  Thus, the LCM is 42.

5 0
3 years ago
Read 2 more answers
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
sveta [45]

Answer:

<em>Answer: 512 inches</em>

Step-by-step explanation:

<u>Unit Conversion</u>

We need to recall two basic unit conversions for length:

1 inch = 2.54 cm

1 meter = 100 cm

We are given a length of 13 meters. Converting to centimeters:

13 * 100 = 1300 cm

Now convert to inches dividing by 2.54:

1300 / 2.54 \approx 512

Answer: 512 inches

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2 years ago
Ok so-<br> {[Math from BIM]}<br> ss below
Mice21 [21]

Answer:

2 real solutions

Step-by-step explanation:

x=6i, -6i

6 0
2 years ago
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