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poizon [28]
2 years ago
7

What is the distance between the points (-1,2) and (2,3).

Mathematics
1 answer:
ivolga24 [154]2 years ago
7 0

9514 1404 393

Answer:

  3.16 ≈ 3.2

Step-by-step explanation:

Put the numbers in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((2-(-1))² +(3-2)²) = √(3² +1²) = √10

  d ≈ 3.16 ≈ 3.2

The distance rounded to hundredths is 3.16. Rounded to tenths, it is 3.2.

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A transformation doubles each point's x-coordinate and leaves the point's y-coordinate intact. What will the transformation have
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Which is the equation in slope intercept form for the line that passes through (-3,3) and is parallel to 3x + y= 7?
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3 years ago
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A number is selected, at random, from the set {1,2,3,4,5,6,7,8}.
Olegator [25]

Applying the formula, you have:

A = the number is prime

B = the number is odd

I assume that with "random" you imply that all numbers can be chosen with the same probability. So, we have

P(A) = \dfrac{4}{8} = \dfrac{1}{2}

because 4 out of 8 numbers are prime: 2, 3, 5 and 7.

Similarly, we have

P(B) = \dfrac{4}{8} = \dfrac{1}{2}

because 4 out of 8 numbers are odd: 1, 3, 5 and 7.

Finally,

P(A \land B) = \dfrac{3}{8}

because 3 out of 8 numbers are prime and odd: 3, 5 and 7.

So, applying the formula, we have

P(\text{prime } | \text{ odd}) = \dfrac{P(\text{prime and odd})}{P(\text{odd})} = \dfrac{\frac{3}{8}}{\frac{1}{2}} = \dfrac{3}{8}\cdot 2 = \dfrac{3}{4}

Note:

I think that it is important to have a clear understanding of what's happening from a conceptual point of you: conditional probability simply changes the space you're working with: you are not asking "what is the probability that a random number, taken from 1 to 8, is prime?"

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5 0
3 years ago
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