It would be: k+3 = 10
subtracting 3 from both sides,
k+3-3 = 10-3
k=7
Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
Answer:
The closest to the maximum profit is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
The percentage of profit is 20%
Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated as follows

=> 
From the z-table the z-score for 0.20 is

So

=> 
Answer:
(a) 0.932
(b) 0.0653
(c) 0.032
(d) 0.316
(e) 0.251
Step-by-step explanation:
From the table with mean parameter μ = 5, we can compute the following cumulative and density probability
(a)
(cumulative)
(b) P(X = 8) = 0.0653 (density)
(c)
(cumulative)
(d)
(cumulative)
(e) 
Answer:
Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
option D for Edgu hope this helps :)