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atroni [7]
2 years ago
11

What number comes next 16, 06, 68, 88,

Mathematics
1 answer:
inessss [21]2 years ago
4 0

So the given series is "16, 06, 68, 88, __"

Count all the cyclical opening in each of these numbers. For example in 16, there is a one cyclical loop present in it(the one in 6), similarly in 06 it is two(one in zero and one in 6), going ahead, in 68 it is 3(one in 6 and two in 8).

From here on things become simple: hence, the cyclical figures in these equations written down becomes 1,2,3,4,_,3.

Let's now try solving the above sequence, going by the logical reasoning the only number that can fill in the gap should be 4.

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Answer:

a = 0.25

Step-by-step explanation:

Our strategy to solve this problem will be to use the information given in the table to obtain  first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations  and solve for the coefficients a and b as follow:

from x=0 and y=-3   a*0 + b* 0 + c = - 3

c = -3

from x=1 and  y= -3.75

a*(1) + *(1) + (-3) = -3.75

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from x= 2 and y = -4

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4a + 2b = -4 +1

4a + 2b = -1

Now we can solve the system f equations by elimination:

a + b = -0.75

4a + 2b = -1

multiply first equation by -2 and add to the second and  get

-2a - 2b = +1.50

4a + 2b = -1

2a = 0.50 and substituting into any of the equations get b =  -1

so the quadratic equation has a= 0.25 b= -1  c= -3

we can even  plug the any of the other values for  x given in the table and check the answer.

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Answer:

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Step-by-step explanation:

The product rule of probability states that the probability of independent events occurring together can be gotten by multiplying the probability of each event occurring alone.

The product rule is given as P(A*B) = P(A) *P(B).   Where A and B are two independent events. For example when picking cards from a deck of 52 cards, the probability of getting an ace is 4/52 = 1/13 (because there are 4 aces in a deck of 52 cards) . The probability of picking a heart is 13/52 = 1/4. Therefore the probability of picking the ace of hearts is 1/4*1/13 =1/52.

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grigory [225]

Answer:

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