Answer:
P= 1/5
Step-by-step explanation:
If we have 5 different cards (1,2,3,4,5) the number of favorable outcomes (that is: The first card, is bigger than the second only by one) is 4, and the total number of outcomes is 20 according to:
Variations of 5 elements in group of 2
V=5!/(5-2)! = 5*4*3!/3!=20
So if we have 4 possible outcomes, out of 20 (total outcomes) the probability will be 4/20 = 1/5
Answer:
The answer is C: .19
Step-by-step explanation:
$ 78 in 12 hrs....78/12 = 6.50 per hr
for 20 hrs...
6.50 * 20 = $ 130 <==
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Quadratic function </u>
with the roots:
<h3>To find </h3>
<h3>Solution</h3>
<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>
- (-5 + 9i) + (-5 - 9i) = -b/-1
- -10 = b
- b = -10
And
- (-5 + 9i)(-5 - 9i) = c/-1
- (-5)² - (9i)² = -c
- 25 - 81(-1) = -c
- - c = 25 + 81
- - c = 106
- c = -106
g(x) = -x² -10x - 106
Answer:
see explanation
Step-by-step explanation:
(1)
x² - 6 = 2 - 18x ( add 18x to both sides )
x² + 18x - 6 = 2 ( add 6 to both sides )
x² + 18x = 8
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(9)x + 81 = 8 + 81
(x + 9)² = 89
(2)
(x + 9)² = 89 ( take square root of both sides )
x + 9 = ±
( subtract 9 from both sides )
x = - 9 ± 