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yanalaym [24]
3 years ago
14

Bonnie is by training for a half-marathon She already runs 8 miles per day. She wants to increase this by 2 miles a day for the

next five days. Use
the equation that represents this situation to complete the table.
Days, x
Miles, y
Next Question
Done and Review

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

full chart below

Step-by-step explanation:

1x = 8 mi

2x = 10 mi

3x = 12 mi

4x = 14mi

5x = 16mi

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What is the measure of angle RST? Help!!
erik [133]

Answer:

62

Step-by-step explanation:

Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)

RST = 1/2 ( 47+77)

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3 years ago
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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
What times what equals -18
photoshop1234 [79]

-1 x 18 = 18

-2 x 9 = 18

-3 x 6 = 18

-6 x 3 = 18

-9 x 2 = 18

-18 x 1 = 18

Hope this helped!

Nate

7 0
3 years ago
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