The first one is 5c√10c/3d^3
The answer is: A, 5c√10c/3d^3
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Answer:
Step-by-step explanation:The probability of picking the biased coin: P(biased coin)=1/100. The probability of all three tosses is heads: P(three heads)=1×1+99×18100. The probability of three heads given the biased coin is trivial: P(three heads|biased coin)=1.
The required system of equations is 
Step-by-step explanation:
We need to write a system of linear equations that has the ordered pair (1,4) as it's solution.
It means we need to find system of linear equations, which after being solved gives x=1 and y=4
Let the system of equations be:
I have made equations such that adding x+y gives 5 i,e (1+4=5) and subtracting x-y gives -3 (1-4=-3)
Now solving this system of equations to find value of x:
Adding eq(1) and eq(2)
Putting value of x=1 into eq(1) to find value of y
The solution set after solving system of equations is (1,4).
The required system of equations is
Keywords: System of equations
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The elements of (A n B)' are ( 3, 4 , 5 ,6). Option A
<h3>How to determine the set</h3>
The elements of this set (A n B) explains the common elements of both sets without repetition
Set A = 3, 4
Set B = 5, 6
A n B = 1, 2
(A n B)' = Is the elements both A and B in common but is not found in the universal set
(A n B)' = ( 3, 4 , 5 ,6)
Thus, the elements of (A n B)' are ( 3, 4 , 5 ,6). Option A
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The Pythagorean Theorem formula is listed below. It can only be applied to right triangles.
(side1)^2 + (side2)^2 = (hypotenuse)^2
Since we are given that the base is 8cm, we know that the side of one triangle is 4cm. We are also given that the hypotenuse is 8cm. The height of the cone will be one of the short sides. If we plug these numbers into the formula, we get the following...
4^2 + height^2 = 8^2
If we solve for height, we get the following...
height = sqrt(8^2 - 4^2) = sqrt(64 - 16) = sqrt(48)
Since we are only asked for what is inside the square root, our answer is 48.
