Answer:
12 months
Step-by-step explanation:
55x + 50 = 45x + 170
10x = 120
x = 12
For this case we have that the equation of a line of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It's the slope
b: It is the cut-off point with the y axis
![m = \frac {y2-y1} {x2-x1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By2-y1%7D%20%7Bx2-x1%7D)
We have the following points:
![(x1, y1): (7,2)\\(x2, y2): (2,12)](https://tex.z-dn.net/?f=%28x1%2C%20y1%29%3A%20%287%2C2%29%5C%5C%28x2%2C%20y2%29%3A%20%282%2C12%29)
Substituting:
![m = \frac {12-2} {2-7} = \frac {10} {- 5} = - 2](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7B12-2%7D%20%7B2-7%7D%20%3D%20%5Cfrac%20%7B10%7D%20%7B-%205%7D%20%3D%20-%202)
Thus, the equation is of the form:
![y = -2x + b](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%20b)
We substitute one of the points to find the cut point "b":
![2 = -2 (7) + b\\2 = -14 + b\\2 + 14 = b\\16 = b](https://tex.z-dn.net/?f=2%20%3D%20-2%20%287%29%20%2B%20b%5C%5C2%20%3D%20-14%20%2B%20b%5C%5C2%20%2B%2014%20%3D%20b%5C%5C16%20%3D%20b)
Thus, the equation is:
![y = -2x + 16](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%2016)
Answer:
![y = -2x + 16](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%2016)
Answer:
48*52=2496/2=1248
Step-by-step explanation:
Triangle syprine=b*h/2
16*14=224/2=112
answer b is the most similar:48*52=2496/2=1248
48 is 3x>16
Answer:
y = 2/3x +4
Step-by-step explanation:
The y intercept is where the line crosses the y axis
y intercept =4
We can find the slope using two points on the line
(0,4) and (3,6)
m = (y2-y1)/(x2-x1)
= (6-4)/(3-0)
= 2/3
The equation of a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +4
Answer:
The upper 20% of the weighs are weights of at least X, which is
, in which
is the standard deviation of all weights and
is the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![0.84 = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=0.84%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![X = 0.84\sigma + \mu](https://tex.z-dn.net/?f=X%20%3D%200.84%5Csigma%20%2B%20%5Cmu)
The upper 20% of the weighs are weights of at least X, which is
, in which
is the standard deviation of all weights and
is the mean.