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Vanyuwa [196]
3 years ago
13

each of the numbers 1,2,3,4,5, and 6 is painted one to a face, on the faces of a cube. The cube is placed on a table so that fro

m each of the three positions a person can see the top and two of the other faces. The sum of numbers showing on the visible face from the three positions are 9, 14, and 15. What number is on the bottom face?
Mathematics
1 answer:
brilliants [131]3 years ago
7 0
Well, work it out. (Sorry bud, its the easiest way.) No one has answered you for five days, I would imagine it better to work it out.
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Winning the jackpot in a particular lottery requires that you select the correct four numbers between 1 and 42 ​and, in a separa
NARA [144]

Answer:

\dfrac{1}{3,357,900}

Step-by-step explanation:

There are

C^{42}_4=\dfrac{42!}{4!(42-4)!}=\dfrac{42!}{4!\cdot 38!}=\dfrac{38!\cdot 39\cdot 40\cdot 41\cdot 42}{2\cdot 3\cdot 4\cdot 38!}=39\cdot 10\cdot 41\cdot 7=111,930

different ways to select the  four numbers between 1 and 42. Only one of this ways is correct (successful to win).

There are 30 different ways select the single number between 1 and 30. Only one of them is correct.

The  probability of winning the jackpot is

\dfrac{1}{111,930}\cdot \dfrac{1}{30}=\dfrac{1}{3,357,900}

4 0
3 years ago
Read 2 more answers
Data from the sequence of amino acids in proteins are used to infer how living things are related through evolution. The chart s
Stolb23 [73]

Chicken and turkey on Ap3x

8 0
3 years ago
To lose one pound of fat, a 200-pound person must burn 3,500 calories. If that person burns 180 calories by walking for 30 minut
SVEN [57.7K]

Answer:

C - 19 hours 27 minutes

Step-by-step explanation:

180 × 2 = 360

360 calories in an hour

3500 × 2 = 7000 (amount of calories in 2 pounds)

7000 ÷ 360 = 19.4444...


I hope this helps


4 0
3 years ago
A fair coin is tossed three times.
qaws [65]

B 2/3
A 3/3. Hsheikdkekekekld

6 0
4 years ago
Read 2 more answers
Sviatoslav solved the quadratic equation x^2-x-1=0 by completing the square. In the process, he came up with the equivalent equa
zimovet [89]

Answer:

x=\frac{1+\sqrt5}{2} and  x=\frac{1-\sqrt5}{2}

and b=\frac{5}{4}

Step-by-step explanation:

We are given that a quadratic equation

x^2-x-1=0

We have to solve the equation by completing square and find the value of b.

(x)^2-2\times x\times \frac{1}{2}+(\frac{1}{2})^2-(\frac{1}{2})^2-1=0

(x-\frac{1}{2})^2-\frac{1}{4}-1=0

(x-\frac{1}{2})^2-\frac{1-4}{4}=0

(x-\frac{1}{2})-\frac{5}{4}=0

(x-\frac{1}{2})^2-(\frac{\sqrt5}{2})^2=0

(x-\frac{1}{2})^2=(\frac{\sqrt5}{2})^2

x-\frac{1}{2}=\frac{\sqrt5}{2} and x-\frac{1}{2}=-\frac{\sqrt5}{2}

x=\frac{\sqrt5}{2}+\frac{1}{2}=\frac{1+\sqrt5}{2}

And x=\frac{1}{2}-\frac{\sqrt5}{2}=\frac{1-\sqrt5}{2}

Therefore,x=\frac{1+\sqrt5}{2} and  x=\frac{1-\sqrt5}{2}

and b=\frac{5}{4}

6 0
3 years ago
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