Answer:
![P(38.6](https://tex.z-dn.net/?f=%20P%2838.6%20%3CX%20%3C57.8%29)
And we can assume a normal distribution and then we can solve the problem with the z score formula given by:
![z=\frac{X -\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX%20-%5Cmu%7D%7B%5Csigma%7D)
And replacing we got:
![z=\frac{38.6- 45}{16}= -0.4](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B38.6-%2045%7D%7B16%7D%3D%20-0.4)
![z=\frac{57.8- 45}{16}= 0.8](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B57.8-%2045%7D%7B16%7D%3D%200.8)
We can find the probability of interest using the normal standard table and with the following difference:
![P(-0.4](https://tex.z-dn.net/?f=%20P%28-0.4%20%3Cz%3C0.8%29%3D%20P%28z%3C0.8%29%20-P%28z%3C-0.4%29%20%3D%200.788-0.345%3D%200.443)
Step-by-step explanation:
Let X the random variable who represent the expense and we assume the following parameters:
![\mu = 45, \sigma 16](https://tex.z-dn.net/?f=%5Cmu%20%3D%2045%2C%20%5Csigma%2016)
And for this case we want to find the percent of his expense between 38.6 and 57.8 so we want this probability:
![P(38.6](https://tex.z-dn.net/?f=%20P%2838.6%20%3CX%20%3C57.8%29)
And we can assume a normal distribution and then we can solve the problem with the z score formula given by:
![z=\frac{X -\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX%20-%5Cmu%7D%7B%5Csigma%7D)
And replacing we got:
![z=\frac{38.6- 45}{16}= -0.4](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B38.6-%2045%7D%7B16%7D%3D%20-0.4)
![z=\frac{57.8- 45}{16}= 0.8](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B57.8-%2045%7D%7B16%7D%3D%200.8)
We can find the probability of interest using the normal standard table and with the following difference:
![P(-0.4](https://tex.z-dn.net/?f=%20P%28-0.4%20%3Cz%3C0.8%29%3D%20P%28z%3C0.8%29%20-P%28z%3C-0.4%29%20%3D%200.788-0.345%3D%200.443)
Answer: x < 3 or x ≥ 11
(-∞, 3) or [11, ∞)
Step-by-step explanation:
subtract 4 from each side
2x < 6 . or . 3x ≥ 33
x < 3 or x ≥ 11
make sure you have an OPEN DOT at 3 pointing to negative infinity and a CLOSED DOT at 11 pointing to positive infinity.
P/9 = 90
Multiply 9 to 90 to isolate the variable.
P = 9 x 90
P = 810
The answer is 15 ur welcome haha
Answer:
Lower bound=$2.15×10
Upper bound=$2.25×10
Step-by-step explanation:
A milloniare estimates her wealth to be $2.2×10 to the nearst million dollars.
In other words, his worth is $22 to the nearst million dollars.
To find the lower bound of the millionaire's wealth, we divide the level of precision by 2 and subtract from the millionaire's wealth.
Lower bound= 22-0.5=21.5 million dollars.
To find the upper upper bound, we add half of the level of precision to her estimate.
Upper bound =22+0.5=22.5 million dollars