EXPAND-x^{2} +-8x+-7x+56
SIMPLIFY- x^{2} +15x+56
Answer:
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Step-by-step explanation:
8t + 1 + (-4t) + (-6) = [8t + (-4t)] + [1 + (-6)] = (8t - 4t) + (1 - 6) = 4t - 5
Answer:
24.62 in^2
Step-by-step explanation:
The area of a circle is A=pi*r^2
Circumference is C=2*pi*r
Given a circumference of 17.6 inches, we get:
17.6=2*3.14*r
17.6=6.28r
2.8025=r
Given a radius of roughly 2.8 inches, we can find the area:
A=3.14*2.8^2
A=3.14*7.84
A=24.6176
So the area is around 24.62 in^2
Answer:
0.00004
Step-by-step explanation:
Given that:
n = 50
Number of options = 4 ; 1 is the correct answer
Hence ;
p = 1/4 = 0.25
Using normal approximation :
Mean (m) = np = 50 * 0. 25 = 12.5
Standard deviation (s) = √(n*p*q)
q = 1 - p = 1 - 0. 25 = 0.75
s = √(50*0.25*0.75) = 3.062
At least half the question :
Half the question = 1/2 * 50 = 25
P(X ≥ 25) = P(X ≥ 24.5)
(x - m) / s
P(X ≥ 24.5) = (24.5 - 12.5) / 3.062
= 12 / 3.062
= 3.919
P(Z ≥ 3.919) = 0.00004 (Z probability calculator)
