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liq [111]
3 years ago
6

Starting with 2 marked points, A and B, precisely describe the straightedge and compass moves required to construct the triangle

ABC in this diagram
Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Answer: A

Step-by-step explanation:

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Write the equation 0.3x 2 + 5x - 7 = 0 in general form and then choose the value of "b."
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The general form of a quadratic equation is that which is expressed in a form,
                                     ax² + bx + c = 0 
To write the equation in its general form, eliminate the decimal by multiplying the equation by 10. It now becomes,
                                        3x² + 50x - 70 = 0
The value of b is therefore 50 and the answer is the second choice. 
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Six less than a number is twenty
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3.5 - 1.05 please help
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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.

4 0
3 years ago
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