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goldfiish [28.3K]
3 years ago
9

How many cubes with side lengths of

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

question:

How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 ​ cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? ​

Step-by-step explanation:

81 cubes are needed to fill the prism

Step-by-step explanation:

Volume of prism = 3 cubic units

Side lengths of cube = 1/3

Therefore the volume of the cube is,

V = a³   (a = side of the cube)

V = 1/3 × 1/3 × 1/3

= ( 1/3 )³  

= 1/27 cubic units

To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.

Number of cubes to fill the prism= Volume of prism / Volume of cube

= 3÷1/27

=3×27/1

= 81

Therefore, 81 cubes are needed to fill the prism

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By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

<h3>What is standard deviation?</h3>

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

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The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes

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Now we can calculate z by z-score formula as

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Answer:

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Step-by-step explanation:

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The biggest value of f is gived by \pi/4, therefore \pi/4 is the absolute maximum.

In the context of the problem, the golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of \pi/4.

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