Answer:
Step-by-step explanation:
Use the slope-intercept form to write the equation if the line of the graph given.
, where,
b = y-intercept, which is where the line cuts across the y-axis = 4.
m = slope =
Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:
Smaller Number = X
5x - 23 = Larger Number
X + (5x - 23) = 61
6x - 23 = 61
6x = 84
X = 14
Answer:
The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.
Step-by-step explanation:
We have no information about the shape of the distribution, so we use Chebyshev's Theorem to solve this question.
Chebyshev Theorem
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by .
Applying the Theorem
The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.
Answer:
x=66
y=48
Step-by-step explanation:
because the two length is same, so the angle x= 66 will be same; y= 180-66-66=48
9514 1404 393
Answer:
(b) 36.56 ft
Step-by-step explanation:
The perimeter is the total of the circumference of a 4 ft circle and two lengths that are 12 ft.
The circumference is given by ...
C = πd
C = (3.14)(4 ft) = 12.56 ft
Adding the 24 ft of straight sections, we find the total perimeter to be ...
P = 12 + 12 + 12.56 = 36.56 . . . feet