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3 years ago

Find the Volume. Use pi=3.14. Round to the nearest hundredth.

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

4 0

<h2>Volume = 4.19 inches³</h2>

<u>Step-by-step explanation:</u>

radius = 1 inches

π = 3.14

volume of SPHERE = 4/3 × π × radius³

= 4/3 × 3.14 × 1³

= 4.19 inches³

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Is - 29/8 < , > or = - 3.62

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When -29/8 is written as a decimal it becomes
$- 3.625$
Which is equivalent to -3.63, rounded to the nearest hundredth.

Now from here we will be able to tell if they're < , > or =

So, -3.63 is > -3.62

ANSWER: -29/8 > -3.62

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3 years ago

A pendulum has 887 J of potential energy at the highest point of its swing. How much kinetic energy will it have at the bottom o

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Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds an

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Answer:

$Mean = 48.6364$

$s^2 = 331.8545$ -- Sample Variance

$s = 18.2169$ --- Sample Standard Deviation

Step-by-step explanation:

Given

$n = 11$

$Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45$

Solving (a): The sample mean

$Mean = \frac{\sum x}{n}$

So:

$Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}$

$Mean = \frac{535}{11}$

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Solving (b): Sample variance (s^2)

This is calculated as:

$s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}$

Where:

$\bar x = 48.6364$

So:

$s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}$

$s^2 = \frac{3318.54545456}{10}$

$s^2 = 331.8545$

Solving (c): Sample Standard Deviation (s)

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$s = \sqrt {s^2$

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Answer:

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Step-by-step explanation:

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