Answer:
(3, -9)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
-5x - 3y = 12
y = x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -5x - 3(x - 12) = 12
- Distribute -3: -5x - 3x + 36 = 12
- Combine like terms: -8x + 36 = 12
- Isolate <em>x</em> term: -8x = -24
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 12
- Substitute in <em>x</em>: y = 3 - 12
- Subtract: y = -9
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>
Answer:
64
Step-by-step explanation:
Given that an advisor to the mayor of a large city wants to estimate, within 3 minutes, the mean travel time to work for all employees who work within the city limits.
Let X be the random variable denoting the time for employees to travel within city limit
Std dev of X 
For 95% confidence interval Z critical 1.96 is used because population std dev is known
Margin of error 
i.e. 
where n is the desired sample size.
Simplify to get
Hence atleast 64 employees should he poll
Answer:
y = -1/3x-7
Step-by-step explanation:
y = mx + b
m is the slope so -1/3. B is the y-intercept so -7
Answer:
45 meters
Step-by-step explanation:
so if i divided 9 by 3 it's 3 meters per sec then i times 15 by 3 equals 45
The number of customers I would have expected to win the prize is 6.
<h3>How many more customers would I have expected to win the prize?</h3>
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Based on the probability, the number of customers I would have expected to win: 0.18 x 300 = 36
How many more people I would have expected to win : 36 - 30 = 6
Please find attached the complete question. To learn more about probability, please check: brainly.com/question/13234031
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