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3 years ago

The distance of a point P(x, y) from the origin O(0, 0) is given by OP=__

Mathematics

1 answer:

Naily [24]3 years ago

4 0

Answer:-

$\boxed{\sf \sqrt{x^2+y^2}}$

Explanation:-

P(x,y)
O(0,0)

We know distance formula

$\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

$\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}$

$\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}$

$\\ \sf\longmapsto OP=\sqrt{x^2+y^2}$

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I am faceing north west. if i turn 180 clockwise i will be facing what

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Answer:

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Step-by-step explanation:

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3 years ago

What is the probability of rolling a 1 or 2 when a six-sided die is rolled 700 times. Round your answer to the nearest whole num

Maurinko [17]

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Step-by-step explanation:

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In the data set below, which of these points is most likely and outlier?

shusha [124]

<h2>Answer:</h2>

Option: D is the correct answer.

D. (2,54)

<h2>Step-by-step explanation:</h2>

We know that an outlier of a data set is the value that stands out of the rest of the data point i.e. either it is a too high value or a too low value as compared to other data points.

Here we are given a set of data points as:

(2,54)

(4,7)

(6, 9)

(8,12)

(10,15)

Hence, we see that the output values i.e. 7 in (4,7) ; 9 in (6,9) ; 12 in (8,12) and 15 in (10,15) are closely related.

Hence, the data point that is an outlier is:

(2,54)

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4 years ago

What Numbers Go Into The Venn Diagram

antiseptic1488 [7]

Answer:

(a)The total number of outcomes where the sum is 9 or

greater than 9 is 10

(b)Total number of outcomes where the sum is odd = 18

(c)Total number of outcomes where the sum greater or equal to 9 and is

also odd = 6

Step-by-step explanation:

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or, S = {2,3,4,5,6,7,8,9,10,11,12}

(a) The number of ordered pairs where sum is 9 or greater than 9

= { sum is 9 , Sum is 10 , Sum is 11, Sum is 12}

= {(6,3)(3,6),(4,5)(5,4) , (5,5), (6,4),(4,6) , (6,5)(5,6), (6,6)}

Hence the total number of outcomes where the sum is 9 or

greater than 9 is 10

(b) The number of ordered pairs where sum is odd.

= { Sum is 3 , Sum is 5, Sum is 7, Sum is 9, Sum is 11}

= {(1,2)(2,1), (4,1)(1,4),(2,3)(3,2) , (6,1), (1,6),(5,2),(2,5),(4,3)(3,4) ,

(6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 18

Hence total number of outcomes where the sum is odd = 18

Here, the possible outcomes are = { Sum is 9 , Sum is 11}

={ (6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 6

Hence total number of outcomes where the sum greater or equal to 9 and is also odd = 6

6 0

3 years ago

The distance of a point P(x, y) from the origin O(0, 0) is given by OP=__​

The distance of a point P(x, y) from the origin O(0, 0) is given by OP=__