Answer: The probability is zero.
Step-by-step explanation:
The labels on the 4 cards are 1, 3, 5 and 7. Because the cards are equal, the probability of dragging at random each one of them is equal to 1/4 = 0.25.
Now, the probability that Tim selects a card labeled with a 4 is equal to the number of cards labeled with a 4, divided the total number of cards.
We do not have cards labeled with a 4, so the probability is:
p = 0/4 = 0
because we do not have any card labeled with a 4, the probability of selecting one at random is equal to zero.
Answer:
Multiply the second equation by −2 to get −8x − 6y = −30.
Step-by-step explanation:
{2x + 6y = 12
{4x + 3y = 15
{2x + 6y = 12
{−8x − 6y = −30 >> New Equation
* Doing this will give you <em>additive</em><em> </em><em>inverses</em><em> </em>of −6y and 6y, which result in 0, so they are both ELIMINATED.
** [3, 1] is your solution.
I am joyous to assist you anytime.
Answer:
g < -7
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
*Note:
When dividing or multiplying both sides of the inequality by a negative, <em>flip</em> the inequality sign.
<u>Step 1: Define</u>
<em>Identify.</em>
4 - 5g > 39
<u>Step 2: Solve for </u><u><em>g</em></u>
- [Subtraction Property of Equality] Subtract 4 on both sides: -5g > 35
- [Division Property of Equality] Divide -5 on both sides: g < -7
∴ any number <em>g</em> less than -7 would work as a solution to the inequality.
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Topic: Algebra I
Unit: Inequalities