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2 years ago

14

The operation denoted is by * is commutative and why?

2 answers:

inn [45]2 years ago

8 0

Answer:

operation is commutative if and only if equal elements appear in all positions that are symmetrically placed relative to the diagonal from upper left to lower right. That is, to check whether an operation deﬁned by a Cayley’s table is commutative, simply draw a diagonal line from upper left to lower right

Step-by-step explanation:

kipiarov [429]2 years ago

3 0

Answer:

The commutative property of multiplication states that changing the order of the numbers we are multiplying, does not change the product.

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Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is

Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

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:

5 + 7 = 12 total fruits, which means that $N = 12$

7 apples, which means that $k = 7$

You receive 2 fruits, which means that $n = 2$

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

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

$P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182$

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

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3 years ago

Help its due in 15 mins

Anton [14]

Answer:

$\sqrt{44} = 2\sqrt{11}$

Step-by-step explanation:

Apply pythagorean theorem:

ABD is a right triangle with angle ADB = 90

hence AD = $\sqrt{AB^{2} - BD^{2} }$ where BD = 10 because it is half of BC

AD = $\sqrt{12^{2}-10^{2} }$ = $\sqrt{44} = 2\sqrt{11}$

8 0

2 years ago