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melisa1 [442]
4 years ago
5

The top of a square table is covered with four equal square tiles. If the side length of each tile is decreased by 50%, how many

tiles of the new size would be needed to cover the same table?
Mathematics
2 answers:
Valentin [98]4 years ago
6 0

top of a square table is covered with four equal square tiles


Now it says

the side length of each tile is decreased by 50%

It means if the four equal square tiles had side =2x

Now its x

It means if earlier area was 4x^2 not the area is x^2

It means we have to use 4 small tiles to make one large tile

and to make 4 large tiles , we need 4*4 = 16 small tiles.

16 tiles of the new size would be needed to cover the same table.

Elan Coil [88]4 years ago
3 0
16


4squares would fit inside each of the four squares for a total of 16.
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A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm
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Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x\geq25.8  upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em>\frac{1}{b-a}<em>   </em>a\leq x\leq b

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here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)=\frac{x-a}{b-a} =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

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The probability that randomly selected road will be at least 25.8 cm long will be 48%.

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SpyIntel [72]

Answer:

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The slope of the line that passes through the points (4, 10) and (1, 10) is zero.

Step-by-step explanation:

The given points are; (4, 10) and (1, 10)

The slope of a line, m, is given by the following formula;

Where;

(x₁, y₁) = (4, 10) and (x₂. y₂) = (1, 10), we get;

The slope of the line that passes through the points (4, 10) and (1, 10) is 0.

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Firlakuza [10]

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Step-by-step explanation:

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In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.

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