2x⁴+17x²+8
Let X = x² →→(x = + or -√X )
The quadratic becomes : 2.X² + 17.X + 8. Now solve for X:
X' = [-b+√(b²-4ac)]/2a and X" = [-b-√(b²-4ac)]/2a
Plug I the values of a, b and c and you will find;
X' = -1/2 and X" = - 8
Since X = √x → →X' = √( -1/2) [imaginary roots]
and X" = √-8 →→ X" = 2√-2 [imaginary roots]
Then:
1st ROOT: X' = - √1/2.i
2nd ROOT: X" = + √1/2.i
3rd ROOT: X" = + 2√2.i
4th ROOT: X" = - 2√2.i
Answer:
0.9995
Step-by-step explanation:
10% = 0.10
1 - 0.10 = 0.9
n = number of light bulbs = 7
we calculate this using binomial distribution.
p(x) = nCx × p^x(1-p)^n-x
our question says at most 4 is defective
= (7C0 × 0.1⁰ × 0.9⁷) + (7C1 × 0.1¹ × 0.9⁶) + (7C2 × 0.1² × 0.9⁵) + (7C3 × 0.1³ × 0.9⁴) + (7C4 × 0.1⁴ × 0.9³)
= 0.478 + 0.372 + 0.1239 + 0.023 + 0.0026
= 0.9995
we have 0.9995 probability that at most 4 light bulbs are defective.
Answer:
14 + 5x = 39
Step-by-step explanation:
first I had to remember the keywords that gave me a hint of what I have to write. I figured out that more is plus ( + ) , times is multiplication ( x ) , and is is the equal sign ( = ).
Perform indicated operations on left side
x*x+4x+4x+4*4=9
x^2+4x+4x+16=9 combine like terms on left side
x^2+8x+16=9 subtract 9 from both sides
x^2+8x+7=0 factor
x^2+x+7x+7=0
x(x+1)+7(x+1)=0
(x+7)(x+1)=0
x=-1, -7
Answer:
Area = 88 units squared
Perimeter = 40 units
Step-by-step explanation:
The formula for the Area of the parallelogram is base (11) times height (8)
The perimeter is just adding all the outsides together (11 + 11 + 9 + 9)
