The main formula of a suface area of a cube is as follow:
A = 6x a², where a is the edge length
if a= 1.5, so A= 1.5² x 6= 13.5
so the answer is A= <span>13.5</span>
Answer:
you want 4 correct and 16 incorrect
there are 20 questions
each question has four answers, so
P(right answer) = 1/4
P(wrong answer) = 3/4
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Since you want 4 correct of 20 we have a combination of 20C4
This is a binomial problem where p = 1/4, q = 3/4 and we get
(20 "choose" 4)*(probability correct)^(number correct)*(probability incorrect)^(number incorrect)
putting numbers in we get
(20c4)*(1/4)^4*(3/4)^16
This gives us
~ .189685
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have 2 linear equations, and in both, the amount of merchandise you would have to purchase is "x", the unknown. We are asked to find that value of x.
The first equation is
C(x) = .30x + 90, which says that the cost of this plan is a fixed $90, and you pay 30% of the manufacturer's cost, x.
The second equation is
C(x) = .80x + 40, which says that the cost of this plan is a fixed $40, and you pay 80% of the manufacturer's cost, x.
If we want to know when the cost of these 2 are equal to each other, we set the equations equal to each other and solve for x:
.3x + 90 = .8x + 40 so
-.5x = -50 so
x = $100
The cost for each plan will be the same at this value of x, but we will plug in 100 for x in each just to make sure we did it right:
C(100) = .3(100) + 90
C(100) = 30 + 90
C(100) = 120 and
C(100) = .8(100) + 40
C(100) = 80 + 40
C(100) = 120
= (cos2x+1)(cos2x+1)/4