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Genrish500 [490]
3 years ago
9

Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11),

the dice should show even values more often than odd values. Do you agree with this statement? Explain.
Mathematics
1 answer:
Natalija [7]3 years ago
8 0

lahdhd7svs7dhdhdydys

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Aaa can someone help
Llana [10]

Answer:

452.4 (B)

Step-by-step explanation:

3 0
3 years ago
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Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4
arsen [322]

we are given

R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k

now, we can find x , y and z components

x=cos(8t),y=sin(8t),z=8ln(cos(t))

Arc length calculation:

we can use formula

L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt

x'=-8sin(8t),y=8cos(8t),z=-8tan(t)

now, we can plug these values

L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt

now, we can simplify it

L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8sec(t) dt

now, we can solve integral

\int \:8\sec \left(t\right)dt

=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|

now, we can plug bounds

and we get

=8\ln \left(\sqrt{2}+1\right)-0

so,

L=8\ln \left(1+\sqrt{2}\right)..............Answer

5 0
3 years ago
In a room shaped like an ellipse, something whispered at 1 focus can be clearly heard at the other focus. The U.S. Capitol Natio
DanielleElmas [232]

Answer:

The listener is approximately 71.414 feet far from the whisperer.

Step-by-step explanation:

We must remember that two fundamental variables for every ellipse are the major semiaxis (a) and the minor semiaxis (b). The major semiaxis equals a half of the length of the whispering gallery, whereas the minor semiaxis equals a half of the width of the whispering gallery. These are:

a = 46\,ft and b = 29\,ft

The distance between both whisperers (d), measured in feet, is two times the distance between center and any of the foci (c), measured in feet, whose valued is obtained by using this Pythagorean identity:

d = 2\cdot c

c = \sqrt{a^{2}-b^{2}}

If a = 46\,ft and b = 29\,ft, then:

c = \sqrt{(46\,ft)^{2}-(29\,ft)^{2}}

c \approx 35.707\,ft

d = 2\cdot (35.707\,ft)

d = 71.414\,ft

The listener is approximately 71.414 feet far from the whisperer.

3 0
3 years ago
2+2=<br> A.4<br> B.2 <br> C.6<br> D. none of the above
expeople1 [14]

Answer:

A. 4

Step-by-step explanation:

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What lines have a slope of -2?
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Both a and b.
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