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Trava [24]
3 years ago
11

Shannon rolls a number cube 20 times. Out of those 20 times, the cube lands on 1 five times. Based on her results, how many time

s would Shannon have to roll the number cube for it to land on 1 fifty times?
Mathematics
2 answers:
otez555 [7]3 years ago
5 0

Answer:

12.5 Times

Step-by-step explanation:

First, I would Divide 50 by 20 and you'd get 2.5. After that, I would multiply that by 5, then... boom theirs your answer.

Y_Kistochka [10]3 years ago
5 0
I would say the answer is 12.5 times hope you get this right.
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In Brazil, about 20 acres of rainforest are destroyed each minute. At this rate, how much rainforest is destroyed per day?
eduard
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A line passes through the point (-2, 7) and has a slope of -5.
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3 years ago
Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)
viktelen [127]
\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}

The first line segment can be parameterized by \mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle with 0\le t\le1. Denote this first segment by C_1. Then

\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt
=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt
=108

The second line segment (C_2) can be described by \mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle, again with 0\le t\le1. Then

\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt
=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt
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Finally,

\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3
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3 years ago
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The correct answer is C.)
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