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ad-work [718]
2 years ago
14

Parlings vary directly with mots. If 7.5 mots are worth 37.5 parlings, how many parlings will get you 13 mots?​

Mathematics
1 answer:
snow_lady [41]2 years ago
5 0

Answer:

  • 65 parlings

Step-by-step explanation:

<u>Use ratios:</u>

  • 7.5 mots / 37.5 parlings = 13 mots / x parlings
  • x = 13*37.5/7.5
  • x = 65
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Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distr
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Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

4 0
3 years ago
Multiply............
ZanzabumX [31]
Hey there!

In order to multiply these polynomials together, you will take both terms of the first polynomial and multiply them by each term in the second polynomial. You can then combine any like terms to get your final answer. 

(2x² – 5x)(4x² – 12x + 10)

2x² × 4x² = 8x⁴
2x² × –12x = –24x³
2x² × 10 = 20x²

–5x × 4x² = –20x³
–5x × –12x = 60x²
–5x × 10 = –50x

Write all of these terms together. You can rearrange the similar ones to be next to each other. 

8x⁴ – 24x³ – 20x³ + 20x² + 60x² – 50x

Just add or subtract the terms to simplify, if they can be.

8x⁴ – 44x³ + 80x² – 50x

(8x⁴ – 44x³ + 80x² – 50x) will be your final answer. 

Hope this helped you out! :-)
8 0
3 years ago
Read 2 more answers
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