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3 years ago

7

Which of the following statements shows the inverse property of addition?

1 answer:

Olin [163]3 years ago

7 0

Answer:

Statements y + (-y) = 0 shows the inverse property of addition ⇒ 1st answer

Step-by-step explanation:

Let us revise some important notes

The purpose of the inverse property of addition is to get a result of zero (any number added to its opposite will equal zero)
The purpose of the inverse property of multiplication is to get a result of 1 (any number multiplied by its reciprocal will equal 1)
The additive identity is zero
The multiplicative identity is 1
The difference between the additive identity and the inverse property of addition that additive identity states that a number plus zero equals that number, and the inverse property states that the sum of a number and its additive Inverse is zero

In → y + (-y) = 0

∵ -y is the additive inverse of y

∵ The sum of y and its additive inverse = 0

- By using the definition of the inverse property of addition up

∴ Statements y + (-y) = 0 shows the inverse property of addition

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If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?

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Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

$^nC_k=\frac{n!}{k!(n-k)!}$

in our given question, n= 7, k= 4

Putting values:

$^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35$

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Keywords: Probability

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