Will you please either write the question or upload a picture of it so we can help you with it?
Answer:
Step-by-step explanation:
1) x² + 6x + 11 = 0
a = coefficient of x² = 1
b = coefficient of x = 6
c = Constant = 11
Roots = (-b ± √b² - 4ac)/2a
Roots = 
2) 2x² - 16x = 50
Divide the whole equation by 2
x² - 8x = 25
Divide the coefficient of x (i. e 8 ) by 2 = 8/2 = 4, Now add 4 to both sides of the equation
x² - 8x + 4 = 25 + 4
x² - 2*4*x + 2² = 29
(x - 2)² = 29
Take square root both side
Answer:
1 7/20
Step-by-step explanation:
well 27/20 is 1 and 7/20
make it to a improper fraction
Answer: 0.42 and 5 outcomes.
Step-by-step explanation:
i guess that carlos has a fair coin and a number cube.
the probability can be calculated as the number of outcomes that we want divided the total number of outcomes.
The coin has two possible outcomes, heads and tails, then the probability of getting heads is p1 =1/2
the number cube has 6 numbers, 5 of those 6 numbers are greater than 1, then the probability of getting a number greater than 1 is p2 =5/6
the joint probability is the product of those two:
P = 1/2*5/6 = 5/12 = 0.42
The combinations that include heads and number greater than 1 are 5 combinations:
Heads and 2
Heads and 3
Heads and 4
Heads and 5
Heads and 6.
