Answer:
-1/19 = x
Step-by-step explanation:
(x - 1)/x = 20
Multiply each side by x
(x - 1)/x *x = 20*x
x-1 = 20x
Subtract x from each side
x-1-x = 20x-x
-1 = 19x
Divide each side by 19
-1/19 = x
Using Chebyshev's Theorem, considering a standard deviation of 40, we have that at least 75% of the students scored between 360 and 520.
<h3>What does Chebyshev’s Theorem state?</h3>
When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
- 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
.
In this problem, considering a standard deviation of 40, we have that:
440 - 2 x 40 = 360.
440 + 2 x 30 = 520.
Within 2 standard deviations of the mean, no information about the distribution, hence, at least 75% of the students scored between 360 and 520.
More can be learned about Chebyshev's Theorem at brainly.com/question/25303620
They are length and width. the only thing is that they do not have volume
Answer:
The disposable income predicted to be $17 trillion in 2033.
Step-by-step explanation:
The disposable income, in billions, in t years after 2010 is given by the following function>
![D(t) = 10020e^{0.02292t}](https://tex.z-dn.net/?f=D%28t%29%20%3D%2010020e%5E%7B0.02292t%7D)
In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
This is t for which
. So
![D(t) = 10020e^{0.02292t}](https://tex.z-dn.net/?f=D%28t%29%20%3D%2010020e%5E%7B0.02292t%7D)
![17000 = 10020e^{0.02292t}](https://tex.z-dn.net/?f=17000%20%3D%2010020e%5E%7B0.02292t%7D)
![e^{0.02292t} = \frac{17000}{10020}](https://tex.z-dn.net/?f=e%5E%7B0.02292t%7D%20%3D%20%5Cfrac%7B17000%7D%7B10020%7D)
![\ln{e^{0.02292t}} = \ln{\frac{17000}{10020}}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B0.02292t%7D%7D%20%3D%20%5Cln%7B%5Cfrac%7B17000%7D%7B10020%7D%7D)
![0.02292t = \ln{\frac{17000}{10020}}](https://tex.z-dn.net/?f=0.02292t%20%3D%20%5Cln%7B%5Cfrac%7B17000%7D%7B10020%7D%7D)
![t = \frac{\ln{\frac{17000}{10020}}}{0.02292}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Cln%7B%5Cfrac%7B17000%7D%7B10020%7D%7D%7D%7B0.02292%7D)
![t = 23](https://tex.z-dn.net/?f=t%20%3D%2023)
2010 + 23 = 2033
The disposable income predicted to be $17 trillion in 2033.
Answer:
the probability that a plain pencil is chosen from the first box is 7/12.And the probability that a color pencil is chosen from the second box is 1/2.
Step-by-step explanation: