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LuckyWell [14K]
3 years ago
6

If the probabiliyt of nature 1 is 0.4 and the probability of nature 2 is 0.6, which alternative should be chosen?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0
Should be chosen the bigger propability
0,6>0,4 
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Find two numbers whose sum is 25 and the sum of whose reciprocals is 1/6
Katen [24]

Answer:

10 and 15

Step-by-step explanation:

Let 'x' and 'y' are the numbers we need to find.

x + y = 25 (two numbers whose sum is 25)

(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)

The solutions of the this system of equations are the numbers we need to find.

x = 25 - y

1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y

6y + 6(25-y) = (25-y)y

6y + 150 - 6y = 25y - (y^2)

y^2 - 25y + 150 = 0 quadratic equation has 2 solutions

y1 = 15

y2 = 10

Thus we have :

First solution: for y = 15, x = 25 - 15 = 10

Second solution: for y = 10, x = 25 - 10 = 15

The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).

5 0
3 years ago
I would like to know the value of b and c
Ratling [72]

Answer:

a = 3, b = 8, c = 14

Step-by-step explanation:

First, we can organize this, putting lower values first.

2, 3, 3, 5, 9, 9, 11, 12

a , b , c somewhere there

Given this information, one thing we can look at first is the mode. The mode is 3, so there must be more 3s than any other number. Currently, there are 2 3s and 2 9s, so there must be at least one more 3 and no more 9s to make that true. Therefore, a, b, or c is 3. Therefore, we have

2, 3, 3, 3, 5, 9, 9, 11, 12

2 of a, b, c somewhere in there

Next, the median is 8. In our current state, the median is 5. There are 9 numbers, with 11 total including the 2 remaining values. Because there will be an odd amount of values, the median must be a number on the list. Therefore, our list is

2, 3, 3, 3, 5, 8, 9, 9, 11, 12

1 of a, b, c somewhere in there

There are 4 numbers above the median and 5 numbers below right now. To balance this out, there must be another number above the median. As a consequence, the remaining value must be greater than 8.

Finally, we know that the range is 12, so maximum - minimum = 12. Because the remaining number must be greater than 8, the minimum number is 2, no matter what. Therefore,

maximum - 2 = 12

add 2 to both sides to isolate maximum

maximum = 14

There is no 14 currently on the list, so the remaining value must be 14.

Our a, b, and c are as follows, in order from smallest to largest:

3, 8, 14

8 0
2 years ago
Simifyimg expressions pleaseeeeeeeee help me please I'm begging
seraphim [82]
   -3(6-10v-5v)
=-3(6-15v)
=-18+45v
-18+45v is the final answer.
8 0
3 years ago
A) 9<br> B) 0 <br> C) Undefined<br> D) 6
Usimov [2.4K]
9 is the answer probably

5 0
3 years ago
The velocity of a car over five hours is given by v(t)=60ln(t+1),0≤t≤5 in kilometers per hour. What is the total distance travel
algol [13]

Step-by-step explanation:

as the velocity is not constant over time, we actually have to integrate v(t) over the interval 0<=t<=5 to get the distance.

v(t) = 60×ln(t + 1)

V(t) = 60 × integral(ln(t + 1)) between 0 and 5.

integral(ln(t + 1)) = (t + 1)ln(t + 1) - t + C

V(t) = 60 × ((t + 1)ln(t + 1) - t + C)

the distance traveled between t = 0 and t = 5 is then

60 × ((5 + 1)ln(5 + 1) - 5 + C) - 60 × ((0 + 1)ln(0 + 1) - 0 + C) =

= 60×(6ln(6) - 5 + C) - 60×(1ln(1) + C) =

= 60×(5.750556815... + C) - 60×C =

= 60×5.750556815... = 345.0334089... ≈ 345 km

7 0
2 years ago
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