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3 years ago

The radius, r, of a circle is one-half of the length of its diameter, d. r= r= d + r = d 2 r = d r = d

Mathematics

1 answer:

PIT_PIT [208]3 years ago

8 0

If the radius is HALF of the diameter, then the expression would be 1/2r=d or d/2=r.

hope it helps!

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10. A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of p

vazorg [7]

Answer:

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fibers are chosen without replacement, which means that we use the hypergeometric distribution.

92 fibers means that $N = 92$

Sample of 10 means that $n = 10$

No polymeter B which means that $x = 0$

17 fibers of polymeter B which means that $k = 17$

a. What is the probability that the sample does not contain any fibers of polymer B

This is P(X = 0).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,92,10,17) = \frac{C_{17,0}*C_{75,10}}{C_{92,10}} = 0.1150$

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

4 0

3 years ago

Solve w=x+yz for y.<br><br><br><br> Solve the equation above for z.

Natali [406]

The answer is w-x/y=z

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3 years ago

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Help me in geometry!!

Nataly [62]

Answer:

30.

Step-by-step explanation:

To find the area of a rectangle, you need to multiply length x width.

A = L x W

6 x 5 = 30.

Feel free to let me know if you need more help. :)

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3 years ago

A cylinder shaped water tank has a diameter of 8 m and a height of 20 m. What volume of water does the tank contain when it is 6

baherus [9]

It holds 602.88 m3 of water :)

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3 years ago

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Red 11 pencils in a box blue 11 green 3 the original 25 colored pencils have all been placed back in the box and another 11 colo

Oksanka [162]

Answer:

10 green and 1 blue pencils

Step-by-step explanation:

Exactly 11 pencils were added

Blue pencils became highest, for it to be highest, it has to be more than all the other ones. So if 10 is added to the original number it will make it 13 higher than all, and the remaining one is added to green to make it 12 higher than red.

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3 years ago