Two eventis are independent if knowledge about the first doesn't change your expectation about the second.
a) Independent: After you know that the first die showed 4, you stille expect all 6 numbers from the second. So, the fact that the first die showed 4 doesn't change your expectation about the second die: it can still show numbers from 1 to 6 with probability 1/6 each.
b) Independent: It's just the same as before. After you know that the first coin landed on heads, you still expect the second coin to land on heads or tails with probability 1/2 each. Knowledge about the first coin changed nothing about your expectation about the second coin.
a) Dependent: In this case, there is a cause-effect relation, so the events are dependent: knowing that a person is short-sighted makes you almost sure that he/she will wear glasses. So, knowledge about being short sighted changed your expectation about wearing glasses.
An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12
<h3>Multiplication Property of Equality is the missing reason</h3>
<em><u>Solution:</u></em>
Given that,
five thirds times x plus 2 equals negative 3
Therefore,
<em><u>Multiplication Property of Equality</u></em>
The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal
Multiply both sides by 3
<em><u>Subtraction Property of Equality</u></em>
The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true
5x + 6 = -9
Subtract 6 from both sides
5x + 6 - 6 = -9 - 6
5x = -15
<em><u>Division Property of Equality</u></em>
The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true
5x = -15
Divide both sides by 5
x = -3
