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4 years ago

A three digit number is formed at random using the digits

Mathematics

1 answer:

kramer4 years ago

3 0

Answer:

2/3, or 66.7%

Step-by-step explanation:

There are 2 options for the first digit (3 or 4).

After the first digit is selected, it cannot be repeated, so there are 2 options left for the second digit.

After the first two digits are selected, there is only 1 option for the third digit.

So there are 4 permutations greater than 300.

The total number of permutations is 3! = 6.

So the probability is 4/6 = 2/3.

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Television sizes are measured on the diagonal Tony's television length is 42 inches and the television width is 31 inches what i

ValentinkaMS [17]

Answer:

52 in approx

Step-by-step explanation:

Given data

Length of TV= 42 in

Widht of TV= 31 in

Required

The diagonal of the TV

Applying the Pythagoras theorem

D^2= L^2+W^2

D= √L^2+W^2

D= √42^2+31^2

D=√1764+961

D=√2725

D=52.20 in

Hence the diagonal of the Tv is 52 in approx

8 0

3 years ago

8 people are boarding a plane 2 have tickets for first class and board before everyone. In how many ways can these people board

mixer [17]

$2!6!=2\times1\times6\times5\times4\times3\times2\times1=1440$

3 0

3 years ago

4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is

lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

$P= 2l+3.14 (w/2)+w$

Or $P = 2l+2.57w\\l = \frac{P-2.57w}{2}$

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

$A=lw +\pi \frac{w^2}{8}$

$A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57$

Hence we get maximum area when i derivative is 0

i.e. $P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P$

$l = \frac{P-2.57w}{2}\\l = 0.1401P$

Dimensions can be

$l=0.1401P\\w =0.2801P$

5 0

3 years ago

Describe a relationship in which one quantity increases as another quantity decreases

Morgarella [4.7K]

Inversely proportional

4 0

4 years ago

I've been stuck on this for a long time. I would greatly appreciate help.

choli [55]

The vertex is (8,7)
the minimum value is 7
the vertex form is y=(x-8)^2 +7
the minimum value of y=7

i hope this helps!

7 0

4 years ago