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3 years ago

How many numbers between 1 and 1000 do not contain the digits 8, and 9 ?

Mathematics

2 answers:

sammy [17]3 years ago

6 0

Answer:

998

Step-by-step explanation:

I haven't included the 1 or the 1000

Liono4ka [1.6K]3 years ago

6 0

Answer:

There are 200 numbers between 1 and 1000 that do not contain the digits 8, and 9.

Step-by-step explanation:

1-100

=(8,9,18,19,28,29,38,39,48,49,58,59,68,69,78,79,88,89,98,99)=20

101-200

=(108,109,118,119,128,129,138,139,148,149,158,159,168,169,178,179,188,189,198,199)=

201-300=20

.......

100*10=1000

20*10=200

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2 years ago

A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili

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Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

$A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2$

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$A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2$

Now, probability is given by :

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2 years ago

For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in

Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is $p'(x)=3x^2-9$ . In particular, the value we are looking for is $p'(2)=3(2^2)-9=12-9=3$ .

If you would like to compute the equation of the tangent line, we can use the point-slope equation to get $y=3(x-2)-10=3x-16$

b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to $p'(2)=3$ .

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3 years ago