The answer is sixteen thousand four hundred ninety
Answer:
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.
Reverse addition and subtraction (by subtracting and adding) outside parentheses. Reverse multiplication and division (by dividing and multiplying) outside parentheses. When multiplying or dividing by a negative number, flip the inequality sign. It does not matter if the number being divided is positive or negative
It's necessary to apply inverse operations on both sides of the equals signs so that you can solve for the variable and balance the equation.
Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. (Much like when you divide by a negative number, the sign of the inequality must flip! Here's why: When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!)
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
5x + y = 21 → (1)
x - 3y = 9 → (2)
Multiply (1) by 3 and add the result to (2) to eliminate y term
15x + 3y = 63 → (3)
Add (2) and (3) term by term
(x + 15x) + )- 3y + 3y) = (9 + 63)
16x = 72 ( divide both sides by 16 )
x = 4.5
Substitute x = 4.5 into (1) for corresponding value of y
22.5 + y = 21 ( subtract 22.5 from both sides )
y = - 1.5
Solution is (4.5, - 1.5 )
Answer:
The data provide sufficient evidence that older people are more likely to be victimized.
Step-by-step explanation:
H 0 : P = 0.10
H 1 : P > 0.10 (Right tailed test)
n = 527, P = 0.1235
The test statistics
x = P - p / 
x = 0.1235 - 0.10 / 
x = 0.0235 / 
x = 0.0235 / 
x = 0.0235 / 0.0130682049264618
x = 1.798257689731729
x = 1.798
P value = [1 - p(Z > 1.7980] (Right tailed test)
P value = 0.036089
The P - Value is very small, so <u>reject H0</u>
Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.
