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ratelena [41]
3 years ago
15

A disc of unit radius is tossed at random onto a large rectangular floor, which is tiled with $4 \times 6$ tiles. Find the proba

bility that the disc is contained entirely in a rectangular tile (and does not intersect the border between two tiles).

Mathematics
1 answer:
goldenfox [79]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

In order for the disc to be entirely contained in a rectangular tile, its center must be at least 1 unit from the nearest edge.  Which means there's a 2 by 4 region that the center can lie in.

So the probability is (2×4) / (4×6) = 8/24 = 1/3.

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Marrrta [24]
51 miles per hour is the answer :)
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3 years ago
Find - 2 2/6 + (5/6)
Bad White [126]

Answer:-3/2

Step-by-step explanation:

-2 2/6+5/6

-7/3 + 5/6

(2x-7+1x5) ➗ 6

(-14+5) ➗ 6

-9 ➗ 6

-9/6=-3/2

5 0
3 years ago
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it.
yulyashka [42]

The completed table will have values filled into it accordingly from left to right and the downwards.

<h3>What values are required to complete the table?</h3>

The concept of relative frequencies involves expressing the frequency of occurrence of events as a fraction of a whole frequency.

Hence, it follows that the blank space on the top-leftmost corner of the table can be filled with the value; 4/5 = 0.8.

For the top-rightmost blank space in the table, the required value is; 2/754 = 0.0027.

For the bottom-leftmost blank space, the required value to fill the table is; 1/5 = 0.2.

For the bottom-rightmost blank space, the required value is; 752/754 = 0.9973.

Read more on relative frequency;

brainly.com/question/1094036

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3 0
2 years ago
What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?​
love history [14]

Answer:

The value of "y" the would make the ordered pairs an inverse variation is;

y = 12

Step-by-step explanation:

The given ordered pairs are;

{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}

When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases

Mathematically, we have;

y ∝ 1/x

The above relation can be represented as an equation as follows;

y = k/x

Where;

k = The constant of proportionality

Therefore, k = y·x

From the given ordered, we have;

k =  -2 × 18 = -36

k = 6 × 6 = 36

k = -18 × 2 = -36

k = 4 × 9 = 36

Therefore, the value of "k" is made constant as follows;

The inverse variation is y = k/(x × (-1)ⁿ)

Where;

n = The number of the term

Therefore, y = 36/(3 × (-1)²) = 12

y = 12

The given ordered pairs can therefore be written as follows;

{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.

7 0
2 years ago
Help me in this math please please
sweet-ann [11.9K]
A. -1 Because you would divide 3x and -6 by 2.

4 0
3 years ago
Read 2 more answers
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