Answer:
13.5 meters
Step-by-step explanation:
As the rectangle has 4 sides and the length is three times the width, each pair of a long side and a short side has a perimeter of 18 meters. As the ratio is 3:1, there are 4 parts in 18 meters, and 18 divided by 4=4.5. As the length covers 3 parts, and there are 4.5 meters per part, 4.5x3=13.5. The length of the rectangle is 13.5 meters. Hope it helps!
Subtract 3 from both sides so that the equation becomes -2x^2 + 5x - 13 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √((5)^2 - 4(-2)(-13)) ] / ( 2(-2) )
x = [-5 ± √(25 - (104) ) ] / ( -4 )
x = [-5 ± √(-79) ] / ( -4)
Since √-79 is nonreal, the answer to this question is that there are no real solutions.
Answer:
C. 5 weeks.
Step-by-step explanation:
In this question we have a random variable that is equal to the sum of two normal-distributed random variables.
If we have two random variables X and Y, both normally distributed, the sum will have this properties:

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

The nearest answer is C. 5 weeks.
The awnser is 6(4t-3) I hope this helps u