Answer:
0.5962
Step-by-step explanation:
Given that :
p = 61% = 0.61
q = 1 - p = 1 - 0.61 = 0.39
n = 154 ; x = 93
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x>=93) = p(x=93)+p(x=94)+...+p(x=n)
P(x>= 93) = 0.59619
P(x>= 93) = 0.5962
All of these make use of the expansion
(a + b)² = a² + 2ab + b²
You would do well to memorize this "formula." Of course, it also helps to be able to double (or halve) a number, and to know the squares of small integers.
1.
x² +2x +1
x² -6x +9
x² +12x +36
x² -0.4x +0.04
4x² +28x +49
9x² +30x +25
2.
(x + 4)²
(x + 3)²
(x - 9)²
(x - 5)²
3. (12/2)² = 36
4. ±2√49 = ±14
ANSWER: 114ft^2
Area of cabinets = (4*2)+(4*2) = 16ft^2
Area of kitchen = (10*13) = 130ft^2
Subtract area of the cabinets from total area
130ft^2 - 16ft^2 = 114ft^2
Answer:
P(5 ≤ X ≤ 8) = a rectangle with a width of 3 and height of .15 = 3(.15) = .45
P( 4 ≤ X ≤ 5) = a triangle with a base of 1 and a height of (0.15 -0.05) = .10
So....this area = (1/2)(1)(.10) = .05
And another rectangle with a width of 1 and height of .05 = (1) (.05) = .05
So
Adding these areas
P( 4 ≤ X ≤ 8 ) = .45 + .05 + .05 = .55
Step-by-step explanation:
Hoped this helped!
337.44 is the exact answer. Happy to help.
