What is the probability of the uppermost faces do not sum to five and are not a product of 4 ?

Mathematics

1 answer:

Yanka [14]3 years ago

5 0

The probability of the uppermost faces is 34

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Please helpp due soon!! 10 points :)

zubka84 [21]

Answer:

$2.3\:\mathrm{in^3},\\1.3\:\mathrm{fl\:oz}$

Step-by-step explanation:

The volume of a cone with radius $r$ and height $h$ is equal to $V=\frac{1}{3}\cdot r^2\pi\cdot h$ .

What we're given:

Since radius is half the diameter, $r$ is $1.1$
Height of $1.8$

Substituting given values, we get:

$V=\frac{1}{3}\cdot 1.1^2\pi \cdot 1.8=0.726\pi\approx \boxed{2.3\:\mathrm{in^3}}$

Convert to fluid ounces using the conversion given in the question:

$0.726\pi}\cdot \frac{0.554}{1}\approx \boxed{{1.3\:\mathrm{fl\:oz.}}}$

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Suppose you want to fence in some land along the edge of a straight river. the fenced area will be in the shape of a rectangle,

m_a_m_a [10]

For the largest area, half the fence is used parallel to the river, and the other half is used for the two ends of the rectangular space.

The dimensions are 475 m by 237.5 m.

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Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.