Answer:
At least 68% of observations lie between 22 and 26 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 24
Standard deviation = 2
22 = 24 - 2
22 is one standard deviation below the mean
26 = 24 + 2
26 is one standard deviation above the mean.
So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.
For the subtracting fractions, I would just make them into improper fractions (examples: 6/4, 5/3). To do that, you multiply whole number by the numerator (number on top of fraction), then add the denominator (number at the bottom), and finally, leaving the denominator as is.
Then make them have the same denominator. you might have to multiply or divide in order to match the denominators. then you may add or subtract straight across. NEVER change the denominator.
note: you might be required to make the improper fractions into mixed (ex: 4 1/2)
With multiplying, just multiply across (numerator × numerator, and denominator × denominator)
Answer:
x + 3y = 15
Step-by-step explanation:
Line is passing through the points ![(3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)](https://tex.z-dn.net/?f=%283%2C%20%5C%3A4%29%20%3D%20%28x_1%2C%5C%3Ay_1%29%5C%3Aand%5C%3A%20%289%2C%202%29%3D%28x_2%2C%5C%3Ay_2%29)
Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3
Equation of line in point-slope form is given as:
![y-y_1 =m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%20%3Dm%28x-x_1%29)
Plugging the values of
in the above equation we find:
![y-4 =-\frac{1}{3}(x-3)](https://tex.z-dn.net/?f=y-4%20%3D-%5Cfrac%7B1%7D%7B3%7D%28x-3%29)
![\implies 3y-12 =-x+3](https://tex.z-dn.net/?f=%5Cimplies%203y-12%20%3D-x%2B3)
![\implies x+ 3y =12+3](https://tex.z-dn.net/?f=%5Cimplies%20x%2B%203y%20%3D12%2B3)
![\implies \huge {\orange{\boxed{x+ 3y = 15}}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%20%7B%5Corange%7B%5Cboxed%7Bx%2B%203y%20%3D%2015%7D%7D%7D)
This is the required equation of line in the form ![\red{\bold{ax + by = c}}](https://tex.z-dn.net/?f=%5Cred%7B%5Cbold%7Bax%20%2B%20by%20%3D%20c%7D%7D%20)
Answer:
the paper is 54.79 cm .
Step-by-step explanation:
34.85 * 2 = 69.7 ( two pieces of paper altogether )
69.7 - 14.91 = 54.79 ( when got cut )