Answer:
174 in.
14.5 ft.
Step-by-step explanation:
1. 7ft = 84in
2. 9in x 10 = 90
3. 84in + 90in = 174 in
Answer:
a
The distribution of X is normal
b
![P(X < 1.4) = 0.12654](https://tex.z-dn.net/?f=P%28X%20%20%3C%20%201.4%29%20%3D%200.12654)
c
![P(X > 3.5) = 0.36051](https://tex.z-dn.net/?f=P%28X%20%20%3E%20%203.5%29%20%3D%200.36051)
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 3 \ hours](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%203%20%5C%20%20hours)
The standard deviation is ![\sigma = 1.4 \ hours](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%201.4%20%5C%20hours)
Generally given from the question that the amount of time spent alone by the population size is normally distributed then then the distribution of X (i.e the amount of time spent by the sample size (the one Mercurian)) will be normally distributed
Generally the probability that the child spend less than one hour in a day is mathematically represented as
![P(X < 1.4) = P(\frac{X - \mu}{\sigma} < \frac{1.4 - \mu}{\sigma} )](https://tex.z-dn.net/?f=P%28X%20%20%3C%20%201.4%29%20%3D%20%20P%28%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D%20%3C%20%5Cfrac%7B1.4%20-%20%5Cmu%7D%7B%5Csigma%7D%20%20%20%29)
Here ![\frac{X - \mu}{\sigma } = Z (The\ standardized\ value\ of\ X)](https://tex.z-dn.net/?f=%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%20%7D%20%20%3D%20%20Z%20%28The%5C%20standardized%5C%20value%5C%20of%5C%20%20X%29)
So
![P(X < 1.4) = P(Z < \frac{1.4 - 3.0}{1.4} )](https://tex.z-dn.net/?f=P%28X%20%20%3C%20%201.4%29%20%3D%20%20P%28Z%20%3C%20%5Cfrac%7B1.4%20-%203.0%7D%7B1.4%7D%20%20%20%29)
![P(X < 1.4) = P(Z < -1.1429 )](https://tex.z-dn.net/?f=P%28X%20%20%3C%20%201.4%29%20%3D%20%20P%28Z%20%3C%20-1.1429%20%20%29)
From the z-table the value of
![P(Z < -1.1429 )=0.12654](https://tex.z-dn.net/?f=P%28Z%20%3C%20-1.1429%20%20%29%3D0.12654)
So ![P(X < 1.4) = 0.12654](https://tex.z-dn.net/?f=P%28X%20%20%3C%20%201.4%29%20%3D%200.12654)
Generally the percentage of children that spends over 3.5 hours unsupervised is mathematically represented as
![P(X > 3.5) = P(\frac{X - \mu}{\sigma} > \frac{3.5 - \mu}{\sigma} )](https://tex.z-dn.net/?f=P%28X%20%20%3E%20%203.5%29%20%3D%20%20P%28%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D%20%3E%20%5Cfrac%7B3.5%20-%20%5Cmu%7D%7B%5Csigma%7D%20%20%20%29)
![P(X > 3.5) = P(Z > \frac{3.5 - 3.0}{1.4} )](https://tex.z-dn.net/?f=P%28X%20%3E%20%203.5%29%20%3D%20%20P%28Z%20%3E%20%5Cfrac%7B3.5%20-%203.0%7D%7B1.4%7D%20%20%20%29)
![P(X > 3.5) = P(Z > 0.3571 )](https://tex.z-dn.net/?f=P%28X%20%3E%20%203.5%29%20%3D%20%20P%28Z%20%3E%200.3571%20%20%29)
From the z-table the value of
![P(Z >0.3571 )=0.36051](https://tex.z-dn.net/?f=P%28Z%20%3E0.3571%20%20%29%3D0.36051)
So ![P(X > 3.5) = 0.36051](https://tex.z-dn.net/?f=P%28X%20%20%3E%20%203.5%29%20%3D%200.36051)
Its ten times as much as 0.32
Answer:
C. y=-2/3x +6
Step-by-step explanation:
The formula for a linear equation is y=mx+b, where m= the slope and b is the y-intercept. The slope is -2/3 because slope equals rise over run and the line goes down 2 then right 3. Finally, the y-intercept must be 6 because the line intersects with the y-axis at the value of 6.
Answer:
0.25¢
Step-by-step explanation:
12.00÷48=0.25 or
1200÷48=25 then move decimal 2 places to the left.