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arlik [135]
3 years ago
6

Convert the following

Mathematics
1 answer:
mylen [45]3 years ago
5 0

Answer:a. 86400 secondsb. 40 us liquid pintsc. 0.75 us liquid gallond. 128 us fluid ouncese. 0.0625 us liquid gallon

explanation: a. 1 day = 24 hours/day × 60 minutes/hour × 60 seconds/minute = 86400 seconds/day b. 5 gal to pt conversion result above is displayed in three different forms: as a decimal (which could be rounded), in scientific notation (scientific form, standard index form or standard form in the United Kingdom) and as a fraction (exact result). Every display form has its own advantages and in different situations particular form is more convenient than another. For example usage of scientific notation when working with big numbers is recommended due to easier reading and comprehension. Usage of fractions is recommended when more precision is needed.If we want to calculate how many Pints are 5 Gallons we have to multiply 5 by 8 and divide the product by 1. So for 5 we have: (5 × 8) ÷ 1 = 40 ÷ 1 = 40 Pints...........So finally 5 gal = 40 ptc. A U.S. quart is equal to 32 U.S. fluid ounces, 1/4th of a gallon, or 2 pints. It should not be confused with the Imperial quart, which is about 20% larger.A U.S. gallon is a unit of volume equal to 128 U.S. fluid ounces, or about 3.785 liters. It should not be confused with the imperial gallon used in the United Kingdom.Quarts to Gallons Conversions(some results rounded)qts gal3.00 0.753.01 0.75253.02 0.7553.03 0.75753.04 0.763.05 0.76253.06 0.7653.07 0.76753.08 0.773.09 0.77253.10 0.7753.11 0.77753.12 0.783.13 0.78253.14 0.7853.15 0.78753.16 0.793.17 0.79253.18 0.7953.19 0.79753.20 0.83.21 0.80253.22 0.8053.23 0.80753.24 0.813.25 0.81253.26 0.8153.27 0.81753.28 0.823.29 0.82253.30 0.8253.31 0.82753.32 0.833.33 0.83253.34 0.8353.35 0.83753.36 0.843.37 0.84253.38 0.8453.39 0.84753.40 0.853.41 0.85253.42 0.8553.43 0.85753.44 0.863.45 0.86253.46 0.8653.47 0.86753.48 0.873.49 0.87253.50 0.8753.51 0.87753.52 0.883.53 0.88253.54 0.8853.55 0.88753.56 0.893.57 0.89253.58 0.8953.59 0.89753.60 0.93.61 0.90253.62 0.9053.63 0.90753.64 0.913.65 0.91253.66 0.9153.67 0.91753.68 0.923.69 0.92253.70 0.9253.71 0.92753.72 0.933.73 0.93253.74 0.9353.75 0.93753.76 0.943.77 0.94253.78 0.9453.79 0.94753.80 0.953.81 0.95253.82 0.9553.83 0.95753.84 0.963.85 0.96253.86 0.9653.87 0.96753.88 0.973.89 0.97253.90 0.9753.91 0.97753.92 0.983.93 0.98253.94 0.9853.95 0.98753.96 0.993.97 0.99253.98 0.9953.99 0.9975d.To convert a gallon measurement to a fluid ounce measurement, multiply the volume by the conversion ratio. One gallon is equal to 128 fluid ounces, so use this simple formula to convert:fluid ounces = gallons × 128The volume in fluid ounces is equal to the gallons multiplied by 128.(For example, here's how to convert 5 gallons to fluid ounces using the formula above.5 gal = (5 × 128) = 640 fl oz)Gallon to Fluid Ounce Conversion TableGallon measurements converted to fluid ouncesGallons Fluid Ounces1 gal 128 fl oz2 gal 256 fl oz3 gal 384 fl oz4 gal 512 fl oz5 gal 640 fl oz6 gal 768 fl oz7 gal 896 fl oz8 gal 1,024 fl oz9 gal 1,152 fl oz10 gal 1,280 fl oz11 gal 1,408 fl oz12 gal 1,536 fl oz13 gal 1,664 fl oz14 gal 1,792 fl oz15 gal 1,920 fl oz16 gal 2,048 fl oz17 gal 2,176 fl oz18 gal 2,304 fl oz19 gal 2,432 fl oz20 gal 2,560 fl oz21 gal 2,688 fl oz22 gal 2,816 fl oz23 gal 2,944 fl oz24 gal 3,072 fl oz25 gal 3,200 fl oz26 gal 3,328 fl oz27 gal 3,456 fl oz28 gal 3,584 fl oz29 gal 3,712 fl oz30 gal 3,840 fl oz31 gal 3,968 fl oz32 gal 4,096 fl oz33 gal 4,224 fl oz34 gal 4,352 fl oz35 gal 4,480 fl oz36 gal 4,608 fl oz37 gal 4,736 fl oz38 gal 4,864 fl oz39 gal 4,992 fl oz40 gal 5,120 fl oze.1 US Cup is equal to 0.0625 gallon. To convert cups to gallons, multiply the cup value by 0.0625 or divide by 16.

Best of best luck

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Answer:

Test scores of 10.2 or lower are significantly low.

Test scores of 31 or higher are significantly high

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20.6, \sigma = 5.2

Significantly low:

Z-scores of -2 or lower

So scores of X when Z = -2 or lower

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

-2 = \frac{X - 20.6}{5.2}

X - 20.6 = -2*5.2

X = 10.2

Test scores of 10.2 or lower are significantly low.

Significantly high:

Z-scores of 2 or higher

So scores of X when Z = 2 or higher

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

2 = \frac{X - 20.6}{5.2}

X - 20.6 = 2*5.2

X = 31

Test scores of 31 or higher are significantly high

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