Answer:
Step-by-step explanation:
Hint:
a² - 9a + 15 = (a-7)(a-2)
a² + 9a + 15 = (a+7)(a+2)
a² + 3a - 10 = (a-2)(a+5)
a² + 5a - 14 = (a-2)(a+7)
a² - 5a - 14 = (a-7)(a+2)
Get all the x terms on one side, and the w on the other.
Add 37x on both sides to get 56x+rx=w.
Use the distributive property backwards to get x(56+r)=w.
Divide by 56+r on both sides to get x=w/(56+r)
Answer:
a) 142506
b) 61776
c) 0.4333
Step-by-step explanation:
Given
Three microchips in a production run of thirty are defective
The probability of having a defective microchips is 3/30 = 0.1
Probability of having a good microchip is 0.9
a) Possible ways of selecting five sample =
30C5
30*29*28*27*26*25!/25! *5! = 17100720/120 = 142506
b) With one defective microchip
Total sample – sample without any defective microchip
142506 – 37C5
142506 – 80730
61776
c) Probability = 61776/142506 = 0.4333
Step-by-step explanation:
We are provided with an equation and are required to give reasons on how we got the final answer.
(1.) The equation is -3(2x-3) = 25-8x is given.
(2.) In this step, we have simplified the left hand side of the equation by opening the bracket i.e. -6x+9 = 25-8x
(3.) Here, the terms containing 'x' are brought to the left hand side of the equation and simplified i.e. 2x+9 = 25
(4.) Now, the constant terms of the equation are brought to the right side of the equation and simplified i.e. 2x = 16.
(5.) Lastly, the whole equation is divided by 2 in order to get the value of 'x' i.e. x = 8.