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Assoli18 [71]
2 years ago
9

25. If a single die is tossed, find the probability of obtaining an odd number or a prime number.

Mathematics
1 answer:
tia_tia [17]2 years ago
4 0

Answer:

Its simple,

Its 1/2

Step-by-step explanation:

Because both odd and equal numbers are on a fair die,

The numbers on the die are 1 to 6

So 3 numbers are odd and they are 1,3,and 5

And the rest are even so....

Even = 3/6

Odd =3/6

So the answer is either 0.5 or

1/2

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Answer:

12 i tink

Step-by-step explanation:

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3 years ago
Identify which of the following statement(s) is always true?
julia-pushkina [17]

Answer:

Statement 3

Step-by-step explanation:

<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.

Suppose n = 25 (25 is positive integer), then

\sqrt{n}=\sqrt{25}=5

Since 5 is rational number, this statement is false.

<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.

Suppose n = 8 (8 is positive integer), then

\sqrt{n}=\sqrt{8}=2\sqrt{2}

Since 2\sqrt{2} is irrational number, this statement is false.

<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.

If n is a positive integer and square root of n is rational, then n is a perfect square.

If n is a positive integer and n is a perfect square, then square root of n is a rational number.

This statement is true.

8 0
3 years ago
Brainliest for correct answer
erma4kov [3.2K]

Answer:

I think 1

Step-by-step explanation:

If I'm wrong I'm sorry I haven't done this since middle school

6 0
3 years ago
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A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
Akimi4 [234]

Answer:

see below

Step-by-step explanation:

We know that we have a right triangle with x^2 + y^2 = 25^2

x^2 + y^2 =625

Taking the derivative with respect to time on each side

d/dt( x^2 + y^2) =d/dt 625

The derivative of x^2 with respect to t is 2 x  times dx/dt and

the derivative of y^2 with respect to t is 2 y  times dy/dt and

and the derivative of a constant is zero

2 x  dx/dt  + 2 y dy/dt = 0

We are trying to find dy/dt or the rate it is sliding down the wall

Subtracting 2y dy/dt

2 x  dx/dt  = -  2 y dy/dt

Divide each side by  -2y

2x/- 2y * dx/dt = dy/dt

-x/y * dx/dt = dy/dt

We know that dx/dt = 2

If the base is 7   x^2 + y^2 =625  7^2 + y^2 = 625  so y = sqrt(625 - 49) =24

-7/24 * 2 = dy/dt

-7/12 ft/sec= dy/dt  when x=7

If the base is 15   x^2 + y^2 =625  15^2 + y^2 = 625  so y = sqrt(625 - 225) =20

-15/20 * 2 = dy/dt

-3/2ft/sec= dy/dt  when x=15

If the base is 24   x^2 + y^2 =625  24^2 + y^2 = 625  so y = sqrt(625 - 576) =7

-24/7 * 2 = dy/dt

-48/7 ft/sec= dy/dt  when x=24

Now we need to find the rate at which the area is changing

A = 1/2 xy

Taking the derivative of each side

dA/dt =d/dt ( 1/2 xy)

Using the product rule of derivatives

        = 1/2 ( x dy/dt + y dx/dt)

 Using the information for 7 ft from the wall

x = 7, dy/dt = -7/12, y = 24 and dx/dt =2

      =  1/2 ( 7 * -7/12 + 24*2)

      = 1/2 ( -49/12+ 48)

  = 527/24 ft^2/ sec

4 0
4 years ago
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Hhelpppp meee I just need the answer
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