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3 years ago

Sorry guys i really hate geometry

Mathematics

1 answer:

Alexandra [31]3 years ago

8 0

Answer:

54.3

Step-by-step explanation:

4/3 x pi x 2.35^3

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If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$

Now compute each combination separately:

$\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700$

and now replace the values:

$\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}$

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0

3 years ago

What’s better Takis or Cheetos?!

lawyer [7]

Answer:

Takis in my opinion :))))))

7 0

3 years ago

How are determinants used to find areas of polygons?

ANTONII [103]

When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.

For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
(1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
= (1/2)*|1 -11 +4| = 3

4 0

3 years ago

Phillip is rolling two number cubes. How many different ways can he roll the number cubes and get a sum of 6?

Verizon [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

1, 1, 2, 3, 5, 8, 13, 21, ___Justin loves solving number patterns. He completes one pattern every moring while he eats his cerea

kati45 [8]

Answer:

The correct option is A

The missing number is 34

Explanation:

By inspection, the third number is obtained by adding the two preceding numbers.

1 + 1 = 2

The next number is obtained by adding the two preceding numbers.

2 + 1 = 3

This continues as:

3 + 2 = 5

8 + 5 = 13

13 + 8 = 21

21 + 13 = 34

8 0

1 year ago