What is the probability of rolling an odd number or rolling a 2 on a six sided die? *

Mathematics

1 answer:

OLga [1]2 years ago

4 0

Answer: 2/3

Step-by-step explanation:

First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.

Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.

Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.

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The perimeter of a square newspaper ad is 40 centimeters. How long is each side?

Katyanochek1 [597]

The answer is: "10 cm" .
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Method 1)
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2L + 2w = 40 ; Since the formula for perimeter of a rectangle (Note: a square is a rectangle) is:

                         P = 2L + 2w ; Note: L = length; w = width; P = perimeter;
______________________________________________________
Factor out a "2":
_________________
" 2L + 2w = 40" ;

2 (L+ w) = 40;

Divide each side of the question by "2" ;
____________________________________
         [2 (L + w)] / 2 = 40 / 2 ;
____________________________________
to get: (L + w) = 20 ;

Note: this "rectangle is a square" ; so L= w".
__________________
20 /2 = 10 ;

L + w = 10 + 10 = 20.

This is a square, so each side of the square is the same length.

Each side is:  10 cm .
______________________________________________
Method 2)
______________________________________________

We are given: The perimeter (sum of the lengths of all sides) of a square is "40 cm." Since a square has 4 sides of equal length:
     Each side is: 40 cm / 4 = 10 cm.
______________________________________________

6 0

3 years ago

Suppose f(x) is a function such that for some positive integer n, f has n linearly dependent derivatives. In other words, if f(x

Anon25 [30]

Answer:

See explaination for the prove of the statement.

Step-by-step explanation:

To establish this prove, lets refer back to what we already know.

We know that "If the set of reactions {d1,d2,d3,......dn} in a vector space V over a field f be linearly dependent, then atleast one of the vectors of the set can be expressed as a linear combination of the remaining others.

Please kindly go to attachment for a detailed step by step explaination of the prove.