Answer:
The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.
Step-by-step explanation:
We are given these following probabilities:
Determine whether a probability distribution is given.
We have to see if the sum of the probabilities of all possible outcomes is 1. So
The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.
Answer:
a = 4
b = -2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
a + 4b = -4
a + 10b = -16
<u>Step 2: Rewrite Systems</u>
a + 4b = -4
- Subtract 4b on both sides: a = -4 - 4b
<u>Step 3: Redefine Systems</u>
a = -4 - 4b
a + 10b = -16
<u>Step 4: Solve for </u><em><u>b</u></em>
<em>Substitution</em>
- Substitute in <em>a</em>: -4 - 4b + 10b = -16
- Combine like terms: -4 + 6b = -16
- Isolate <em>b</em> term: 6b = -12
- Isolate <em>b</em>: b = -2
<u>Step 5: Solve for </u><em><u>a</u></em>
- Define equation: a + 4b = -4
- Substitute in <em>b</em>: a + 4(-2) = -4
- Multiply: a - 8 = -4
- Isolate <em>a</em>: a = 4
Answer:
1st option is the answer
Step-by-step explanation:
blue line: slope is 1 and y-intercept is 1; therefore equation is y= x + 1
red line: slope is -1 and y-intercept is -3; therefore equation is y= -x - 3
Answer: C) Tracy spends $7 every 4 days
Graphing the function as well as x = 4 will show that there is a difference in the y-value of 7 between x=0 and x=4, meaning she spends $7 every 4 days.
Answer:
option A
Step-by-step explanation: