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Alexandra [31]
3 years ago
8

A teacher plans a simulation to estimate the probability that a student will pick a vowel out of a bag of 26 tiles, each with a

different letter of the alphabet. She assigns the number 1 to represent a vowel and the number 2 to represent a consonant in a simulation be a fair representation of actual results? Why or why not?
Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Answer:

No, because the probabilities of drawing a vowel versus a constant are not equally likely.

Step-by-step explanation:

Each number in a random number generator is equally likely.  If she assigns only the number 1 to vowels and only the number 2 to consonants, she will get results showing that they are equally likely.

In reality, 5 of the 26 letters are vowels (not including y).  The teacher should assign numbers 1 through 5 to vowels, and numbers 6 through 26 to consonants.  This will be a fair representation.

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Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

x=0,y=2\implies z=-2\implies(0,2,-2)

x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

with 0\le u\le1 and 0\le v\le1. Take the normal vector to S to be

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

8 0
3 years ago
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Dimas [21]

Answer:70%

Step-by-step explanation: Convert the fraction to a decimal, then multiple by 100.

4 0
3 years ago
Read 2 more answers
A parallelogram has a length of 15cm and a height of 7.5cm . Calculate it’s area (step by step)
poizon [28]

Answer:

Area of parallelogram is equal to 112.5cm^2

Step-by-step explanation:

It is given length pf parallelogram which is equal to base of parallelogram is b=15 cm

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We have to find the area of the parallelogram.

Area of parallelogram is equal to multiplication of base and height.

Therefore area of parallelogram is,

A=bh, here b is base and h is height.

So A=15\times 7.5=112.5cm^2

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7nadin3 [17]
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2 years ago
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Answer:

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Step-by-step explanation:

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__

The integer part of the mixed number is the quotient when the numerator is divided by the denominator. The remainder from that division is the numerator of the fraction.

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5 0
2 years ago
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