Answer:
(-0.75, 3.5)
Step-by-step explanation:
See below for graph, please!
Hope this helped!
Answer: 0.0668
Step-by-step explanation:
As per given description, we have
![\mu=90\ lbs\ \ \ ;\ \sigma=24\ lbs](https://tex.z-dn.net/?f=%5Cmu%3D90%5C%20lbs%5C%20%5C%20%5C%20%3B%5C%20%5Csigma%3D24%5C%20lbs)
n= 36
Let x be a random variable that represents the weight of boxes.
z-score : ![\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For x= 84 lb , we have
![\dfrac{84-90}{\dfrac{24}{\sqrt{36}}}=-1.5](https://tex.z-dn.net/?f=%5Cdfrac%7B84-90%7D%7B%5Cdfrac%7B24%7D%7B%5Csqrt%7B36%7D%7D%7D%3D-1.5)
P-value : ![P(x](https://tex.z-dn.net/?f=P%28x%3C84%29%3DP%28z%3C-1.5%29%3D1-P%28z%3C1.5%29)
![\\=1-0.9331927=0.0668072\approx0.0668](https://tex.z-dn.net/?f=%5C%5C%3D1-0.9331927%3D0.0668072%5Capprox0.0668)
Hence, the probability that the average weight of the boxes will be less than 84 lbs. = 0.0668
Answer:
Option A - 60
Step-by-step explanation:
Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.
To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?
Solution :
Applying Binomial distribution,
![P(x)=^nC_x p^x q^{n-x}](https://tex.z-dn.net/?f=P%28x%29%3D%5EnC_x%20p%5Ex%20q%5E%7Bn-x%7D)
Here, p is the success p=5%=0.05
q is the failure ![q= 1-p=1-0.05=0.95](https://tex.z-dn.net/?f=q%3D%201-p%3D1-0.05%3D0.95)
n is the number of selection n=10
The probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent i.e. x=0
Substitute the values,
![P(0)=^{10}C_0 (0.05)^0 (0.95)^{10-0}](https://tex.z-dn.net/?f=P%280%29%3D%5E%7B10%7DC_0%20%280.05%29%5E0%20%280.95%29%5E%7B10-0%7D)
![P(0)=\frac{10!}{10!0!}\times1\times (0.95)^{10}](https://tex.z-dn.net/?f=P%280%29%3D%5Cfrac%7B10%21%7D%7B10%210%21%7D%5Ctimes1%5Ctimes%20%280.95%29%5E%7B10%7D)
![P(0)=1\times 0.5987](https://tex.z-dn.net/?f=P%280%29%3D1%5Ctimes%200.5987)
![P(0)=0.5987](https://tex.z-dn.net/?f=P%280%29%3D0.5987)
![P(0)\approx 0.60](https://tex.z-dn.net/?f=P%280%29%5Capprox%200.60)
i.e. 60%.
Therefore, Option A is correct.
Answer:
2x - 4x = +7+15
-2x = +22
2x = -22
x = -11
Step-by-step explanation:
(put the numbers on one side and the letters on the other, just be careful about the symbols)