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love history [14]
3 years ago
11

a. A bag contains 7 b l u e marbles, 10 g r e e n marbles, and 5 r e d marbles. If a marble is drawn from the bag, replaced, and

another marble is drawn, what is the probability of drawing first a b l u e marble and then a r e d marble
Mathematics
1 answer:
Maru [420]3 years ago
8 0

7 + 10 + 5 = 22 total marbles.

Picking a blue one first would be 7 blue/22 total = 7/22

Picking a red one would be 5 red / 22 total = 5/22

Picking blue first and then red = 7/22 x 5/22 = 35/484

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The sum of two consecutive natural numbers is 525.<br> Find the numbers.
Luda [366]

Answer:

262 and 263 are consecutive natural numbers whose sum is 525.

Step-by-step explanation:

Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (|x-y| = 1, \forall\,x,y \in \mathbb{N}) We can interpret the statement mathematically by means of the following expression:

x + y = 525

x = n

y = n+1

Where x, y, n \in \mathbb{N}.

This system is reduced to a single equation and solved afterwards:

n +(n+1) = 525

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2\cdot n = 524

n = 262

Now we evaluate x and y to obtain the natural numbers:

x = 262

y = 263

262 and 263 are consecutive natural numbers whose sum is 525.

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