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Zolol [24]
3 years ago
15

One of the fastest recorded speeds of a turtle while swimming is 9 m/s. Approximately, what is this speed in kilometers per hour

? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]
Mathematics
2 answers:
torisob [31]3 years ago
7 0
32.5 kilometers per hour
Gala2k [10]3 years ago
6 0

Answer: 32.4 km/h.

Step-by-step explanation:

This is a simple conversion of units, so we're going to use conversion factors. A conversion factor is used to change the units of a measured quantity without changing its value.

The unity bracket method of unit conversion consists of a fraction in which the denominator is equal to the numerator, but they are in different units; since the numerator and denominator are equal, the fraction is equal to one and it won't affect the value of the quantity. Here's how you do it:

\frac{9m}{s} *\frac{1km}{1,000m} *\frac{3,600s}{1h} =32.4\frac{km}{h}

As you can see, the seconds and meters cancel each other and you're left with km/h.

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The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .
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Answer:

0.1507 or 15.07%.

Step-by-step explanation:

We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

z=\frac{x-\mu}{\sigma}, where,

z = z-score,

x = Sample score,

\mu = Mean,

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z=\frac{21.97-22}{0.016}

z=\frac{-0.03}{0.016}

z=-0.1875

Let us find z-score of data point 22.03.

z=\frac{22.03-22}{0.016}

z=\frac{0.03}{0.016}

z=0.1875

Using probability formula P(a, we will get:

P(-0.1875

P(-0.1875  

P(-0.1875

Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.

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10+7n=59
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