Answer:
Approach: Difference of Squares Pattern
Step-by-step explanation:
The given binomial is:
We can rewrite to obtain:
This is a difference of two squares, so we will factor using difference of squares pattern.
Recall that:
If we let
and
Then we can factor the given binomial to obtain:
5n - 1 < 24 is the inequality in question. Add 1 to both sides, obtaining:
5n < 25. Divide both sides by 5, obtaining n < 5 (answer)
All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).
These probabilities are computed as 1 over all the possible outcomes.
(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.
(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.
(c) You have two "good" outcomes out of 5, so your probability is 2/5.
Debido a restricciones de extensión y la características del ejercicio, recomendamos leer la explicación de esta pregunta para mayores detalles sobre la adición de números <em>enteros</em>.
<h3>¿Cuáles son los resultados de cada suma?</h3>
En este ejercicio tenemos un grupo de sumas con números <em>enteros</em> <em>positivos</em> y <em>negativos</em>, en las cuales se prueba la capacidad del estudiante para realizar varias operaciones en serie (adición, sustracción) y comprender las diferencias entre números <em>positivos</em>, <em>negativos</em> y <em>neutros</em>. Ahora procedemos a determinar el resultado de cada una de las expresiones:
20 + 50 + 30 + 7 = 107
30 + 5 + 2 = 37
- 200 - 50 - 70 - 8 = - 328
- 500 + 100 - 20 + 50 = - 370
10 - 5 = 5
20 + 50 - 25 - 10 = 35
- 100 + 20 = - 80
- 30 + 5 + 4 - 20 + 8 = - 33
- 258 + 8 = - 250
- 10 + 20 + 520 - 100 + 8 = 438
- 20 - 5 - 42 + 3 = - 64
1000 - 200 + 50 + 30 - 45 + 75 - 87 + 90 + 50 - 100 + 50 - 10 = 903
- 400 + 500 - 200 - 50 + 48 + 8 - 47 - 50 = - 191
300 + 20 - 50 + 30 - 84 + 35 - 7 + 20 - 40 + 10 - 45 + 65 + 8 - 55 = 207
800 + 50 - 69 + 8 - 35 + 85 - 54 + 40 + 85 + 74 - 32 - 8 + 65 - 27 = 982
Para aprender más sobre sumas: brainly.com/question/1456841
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Is this Long multiplication?
