In the ratio of miles traveled, Mr. Storey and Mrs. Storey's journey is represented as mr: mrs = 3: 1. The total of these ratio units equals 4 (3+1), which means each unit corresponds to 3200 divided by 4, resulting in 800 miles. Mr. Storey drove 3 multiplied by 800, equating to 2400 miles, while Mrs. Storey drove 1 multiplied by 800, totaling 800 miles.
Answer:
The equation 0 = 3x² + 17x - 160 might be useful in determining the length.
Step-by-step explanation:
The area of the vegetable garden is specified as 170 ft².
Now, regarding the provided equations;
1) For 0 = 3x² + 2x + 180, applying the quadratic formula results in:
x = [-2 ± √(3² - 4(3 × 180)]/(2 × 3)
x = [-2 ± √(-2151)]/6
The square root value is negative, indicating no real solution for x.
Thus, this equation does not help find the length.
2) For the equation 0 = 3x² + 10x + 180, employing the quadratic formula, the square root value is also negative, hence there's no natural root for x. This means this equation can't be used to determine the length.
3) For 0 = 3x² + 17x - 160, the roots when using the quadratic formula yield -10.67 or 5. The value 5 is viable since it is a whole number. Considering the area is also a whole number, this equation can be applied to ascertain the length.
4) For 0 = 3x² - 160, simplifying gives;
3x² = 160
x² = 160/3
x = ±√(160/3)
x = ±7.303
Since the area is a whole number but this length isn't, this equation may not accurately determine the length.
To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
(1+2+3+4+5+6+7) =28/7
= 4
. Next, we determine the absolute differences of each data point from the mean (x-μ)
= -3,-2,-1,0,1,2,3
. The absolute values are 3,2,1,0,1,2,3
. Now we compute the mean of these absolute differences,
3+2+1+0+1+2+3 = 12
= 12/7
= 1.7143
. Thus, the mean is 4, and the Mean absolute deviation comes out to be 1.7143
Answer:
4:5
Step-by-step explanation:
Start with the equation:
2(3/4m)=D+1/4m
Then, simplify to solve:
5/4m=D
