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3 years ago

13 cm Diameter 6.4 cm Find the volume to the nearest hundredth using 3.14 instead of PI

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

Answer:

418.00 cm³

Step-by-step explanation:

The volume of a cylinder is given by πr²h (r being the radius and h being the height)

The radius is half of the diameter: 6.4/2 is 3.2.

The height shown here is 13.

Instead of pi, the question says to use 3.14 instead of pi.

Putting these all together, you get 3.14×(3.2)²×13.

This can be expanded to 3.14×10.24×13.

From there, multiplying it all together gives you 417.9968 cm³.

The problem says to the nearest hundredth, so you want to round it to 2 decimal places. Since the 6 is above 5, it gets rounded up, leaving you with 418.00 cm³.

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3 years ago

Emilia and Ferdinand took the same freshman chemistry course: Emilia in the fall, Ferdinand in the spring. Emilia made an 83 on

Wewaii [24]

Answer:

$z = \frac{83-76}{8}=0.875$

$z = \frac{79-65}{12}=1.167$

As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

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Let X the random variable that represent the scores of a test, and we know that

Where $\mu=76$ and $\sigma=8$

The z score formula is given by:

$z=\frac{x-\mu}{\sigma}$

Since Emilia made 83 points we can find the z score like this:

$z = \frac{83-76}{8}=0.875$

Ferdinand case

Let X the random variable that represent the scores of a test, and we know that

Where $\mu=65$ and $\sigma=12$

The z score formula is given by:

$z=\frac{x-\mu}{\sigma}$

Since Ferdinand made 79 points we can find the z score like this:

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As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.

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3 years ago

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lozanna [386]

Answer:

A. Q = 15 °C

B. 0.4 °C

C. Q = 23 °C

Step-by-step explanation:

The following equation models the temperature of Quin's home,

Q = 15 + 0.4t

Where Q is the temperature in degree Celsius and t is the time in minutes

A. What was the temperature when Quinn returned from vacation?

At this time, t = 0 since Quin is just arrived

Q = 15 + 0.4(0)

Q = 15 °C

B. how much does the temperature increase every minute?

0.4(t)

0.4(1)

0.4 °C

The temperature increases by 0.4 centigrade every minute.

C. How much will the temperature increase if Quinn leaves the heat on for 20 minutes

For t = 20 mins

Q = 15 + 0.4(20)

Q = 15 + 8

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4 years ago

Read 2 more answers

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Kisachek [45]

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Since $\dfrac1{\sqrt{x-8}}$ is positive everywhere, the range is $(0,\infty)$

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