Answer:
The answer is %2,4
Step-by-step explanation:
Residents can press on 10 different button choice when they enters the elevator. Number of components for the sample space for the event is
There are 8 different possibilities that 3 consecutive buttons are pressed those are:
-1,2,3
-2,3,4
-3,4,5
-4,5,6
-5,6,7
-6,7,8
-7,8,9
-8,9,10
When the pressing order doesn't matter, those buttons can be pressed 3 different ways for each possibility.
The probability is:
Answer:
D
Step-by-step explanation:
We know it has 2 distinct zeros. This means the discriminant of the quadratic is positive and must have 2 real zeros that can be rational or irrational. We also know the quadratic has rational coefficients which means both are either rational or irrational. They can not be one of either. Since it tells us one is rational, the other must be too.
Answer:
4x(5w-y-3z)
Step-by-step explanation:
Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
- <em>Distributive property</em>
a(b+c) = ab+ac
For example,
suppose a=1, b=2, c=3
1(2+3) = 1(2) + 1(3)
5 = 2+3 = 5
- <em>Subtraction property of Equality</em>
if (a=b), then a-c = b-c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a-c = b-c ⇒ 1-3 = 1 - 3 ⇒ -2 = -2
- <em>Addition property of Equality</em>
if (a=b), then a+c = b+c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a+c = b+c ⇒ 1+3 = 1+3 ⇒ 4 = 4
- <em>Multiplicative property of Equality</em>
if (a=b), then a×c = b×c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a×c = b×c ⇒ 1×3 = 1 × 3 ⇒ 3 = 3
- <em>Division property of Equality</em>
if (a=b), then a÷c = b÷c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3 ⇒ 1/3 = 1/3
Let's solve the given equation using the above properties.
5(x+10) = 20 Given
5x+50 = 20 1) Distriburive property ∵ a(b+c) = ab+ac
5x = -30 2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c
x = -6 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c
