Let x be the 1st odd number, and x+2 the second odd consecutive number:
(x)(x + 2) = 6[((x) + (x+2)] -1
x² + 2x = 6(2x + 2) - 1
x² + 2x = 12x +12 - 1
And x² - 10x - 11=0
Solve this quadratic expression:
x' = [+10 +√(10²- 4.(1)(-11)]/2 and x" = [+10 -√(10²- 4.(1)(-11)]/2
x' = [10 + √144]/2 and x" = [10 - √64]/2
x' = (10+12)/2 and x" = (10-12)/2
x = 11 and x = -1
We have 2 solutions that satisfy the problem:
1st for x = 11, the numbers at 11 and 13
2nd for x = - 1 , the numbers are -1 and +1
If you plug each one in the original equation :(x)(x + 2) = 6[((x) + (x+2)] -1
you will find that both generates an equlity
Answer:
1260
Step-by-step explanation:
Distance formula= [(x2-x1)^2 + (y2-y1)^2]^1/2
Origin= white house = (0,0)
Capitol= (2300,800)
Put the value,
(2300² + 800² )^1/2
= 2435 meters
Thus distance is 2435 m
Answer:
a) 0.004
b) 0.9609
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 76503
Standard Deviation, σ = 8850
We are given that the distribution of annual salaries is a bell shaped distribution that is a normal distribution.
Formula:
a) P(salary greater than 100,000)
P(x > 100000)
Calculation the value from standard normal z table, we have,
b) P(sample mean annual salary falls between 70,000 and 80,000 dollars)
Sample size, n = 20
Standard error due to sampling =
Well, to get perimeter, you add the length and width, and then multiply your answer by two. So:
Jerry-
13+12=25
25*2=50
Ruth-
14+11=25
25*2=50
So both rooms are equal.
Hope this helps!!
