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Darina [25.2K]
3 years ago
13

The probability of an event happening is (11/30), what is the probability of the event not happening?

Mathematics
1 answer:
Andrew [12]3 years ago
7 0

Answer:

19/30

Step-by-step explanation:

If the probability of an event happening is 11/30, then you simply subtract 11 from 30 to find the remaining "possibilities"

30 - 11 = 19

So- this means that the probability of the event NOT happening, is...

19/30

Hope this helps!

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Can somebody prove this mathmatical induction?
Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

\sum \limits_{j=1}^k2^j=2(2^k-1)

3 step:

Check for n=k+1 whether the statement

\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)

is true.

Start with the left side:

\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)

According to the 2nd step,

\sum \limits_{j=1}^k2^j=2(2^k-1)

Substitute it into the \ast

\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)

So, you have proved the initial statement

4 0
3 years ago
find the 16th term of the arithmetic sequence whose common difference is d=8 and whose first term is a↓1=3​
Softa [21]

Answer:

123

Step-by-step explanation:

3 + (16 - 1)8

3 + (15)8

3 + 120

123

7 0
3 years ago
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ivanzaharov [21]

Answer:

B

Step-by-step explanation:

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4 0
2 years ago
A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic
yuradex [85]

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is V=1592\ m^3

The density of the helium is \rho =0.1785\ kg/m^3

Mass of the helium gas is given by the product of density and volume

\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg

Thus, the mass of gas is 285.2 kg

3 0
2 years ago
Help..? Pleaseee , it has to do with the Pythagorean Theorem. But I have no idea how to do it
Rudiy27
Pythagorean Theorem is

a ²+ b ² = c ²

a and b are the shorter sides, while c is the hypotenuse, or longest side. Let’s say the side we are looking for is “b”.

Let’s first rearrange the equation, then sub in.

a ²+ b ² = c ²
b ² = c ²- a ²
b = √ (c ²- a ²)
b = √(17 ²- 15 ²)
b = √(289-225)
b = √ 64
b = 8
7 0
3 years ago
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