Answer: 0.3439
Step-by-step explanation:
Given :The last four digits for telephone numbers are randomly selected (with replacement).
Here , each position can be occupied with any of the digit independently .
Total digits = 10
Total digits other than 0 = 9
For each digits , the probability that it is not 0 = 
If we select 4 digits , The probability of getting no 0 =
(By multiplication rule of independent events)
Now , the probability that for one such phone number, the last four digits include at least one 0. = 1- P(none of them is 0)
=1- 0.6561=0.3439
Hence, the probability that for one such phone number, the last four digits include at least one 0. is 0.3439 .
You multiply the binomial by the whole trinomial.
So 5x^2 (5x^3 - 6x^2 - 5) and then -2x (5x^3 - 6x^2 - 5)
then solve so it is:
25x^5 - 30x^4 - 25x^2 - 10x^4 + 12x^3 + 10x.
Then you simplify to:
25x^5 - 40x^4 + 12x^3 - 25x^2 + 10x
Your Welcome
Answer:
4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
2x - y = 11
x + 3y = -5
<u>Step 2: Rewrite Systems</u>
2x - y = 11
- [Subtraction Property of Equality] Subtract 2x on both sides: -y = 11 - 2x
- [Division Property of Equality] Divide -1 on both sides: y = 2x - 11
<u>Step 3: Redefine Systems</u>
y = 2x - 11
x + 3y = -5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: x + 3(2x - 11) = -5
- [Distributive Property] Distribute 3: x + 6x - 33 = -5
- Combine like terms: 7x - 33 = -5
- [Addition Property of Equality] Add 33 on both sides: 7x = 28
- [Division Property of Equality] Divide 7 on both sides: x = 4
Answer:
b
Step-by-step explanation:
m would be half of 62 and 62 divided by 2 equals 31 which is b