T=34xP
T= tip for him
P= percent he charges for tip
Answer:
No Solution
Step-by-step explanation:
![4x-5=2\left(2x+1\right)](https://tex.z-dn.net/?f=4x-5%3D2%5Cleft%282x%2B1%5Cright%29)
Expand:
![4x-5=2* \:2x+2* \:1](https://tex.z-dn.net/?f=4x-5%3D2%2A%20%5C%3A2x%2B2%2A%20%5C%3A1)
![4x-5=4x+2](https://tex.z-dn.net/?f=4x-5%3D4x%2B2)
Add 5 to both sides:
![4x-5+5=4x+2+5](https://tex.z-dn.net/?f=4x-5%2B5%3D4x%2B2%2B5)
![4x=4x+7](https://tex.z-dn.net/?f=4x%3D4x%2B7)
Subtract 4x from both sides:
![4x-4x=4x+7-4x](https://tex.z-dn.net/?f=4x-4x%3D4x%2B7-4x)
![0=7](https://tex.z-dn.net/?f=0%3D7)
No solution as this is false.
Complete Question
The complete question is shown on the first uploaded image
Answer:
the null hypothesis is ![H_o : \mu = 122](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20%5Cmu%20%3D%20%20122)
the alternative hypothesis is ![H_a : \mu \ne 122](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%5Cne%20%20122)
The test statistics is ![t = - 1.761](https://tex.z-dn.net/?f=t%20%3D%20%20-%201.761)
The p-value is ![p = P(Z < t ) = 0.039119](https://tex.z-dn.net/?f=p%20%3D%20%20P%28Z%20%20%3C%20%20t%20%29%20%3D%200.039119)
so
![p \ge 0.01](https://tex.z-dn.net/?f=p%20%20%5Cge%200.01)
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 122](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20122)
The sample size is n= 38
The sample mean is ![\= x = 116 \ feet](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%20116%20%5C%20feet)
The standard deviation is ![\sigma = 21](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%2021)
Generally the null hypothesis is ![H_o : \mu = 122](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20%5Cmu%20%3D%20%20122)
the alternative hypothesis is ![H_a : \mu \ne 122](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%5Cne%20%20122)
Generally the test statistics is mathematically evaluated as
![t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%20%7B%20%5C%3D%20x%20-%20%5Cmu%20%7D%7B%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%7D)
substituting values
![t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%20%7B%20116%20-%20%20122%20%7D%7B%5Cfrac%7B%2021%20%7D%7B%20%5Csqrt%7B%2038%7D%20%7D%20%7D)
![t = - 1.761](https://tex.z-dn.net/?f=t%20%3D%20%20-%201.761)
The p-value is mathematically represented as
![p = P(Z < t )](https://tex.z-dn.net/?f=p%20%3D%20%20P%28Z%20%20%3C%20%20t%20%29)
From the z- table
![p = P(Z < t ) = 0.039119](https://tex.z-dn.net/?f=p%20%3D%20%20P%28Z%20%20%3C%20%20t%20%29%20%3D%200.039119)
So
![p \ge 0.01](https://tex.z-dn.net/?f=p%20%20%5Cge%200.01)
Answer:
tan a + cot b
Step-by-step explanation:
It's already simplified.
There are alternate forms like
![sec(a)csc(b)cos(a-b)\\\\sec(a)csc(b)[sin(a)sin(b)+cos(a)cos(b)]\\\\\frac{sin (a)}{cos (a)} +\frac{cos(b)}{sin(b)}](https://tex.z-dn.net/?f=sec%28a%29csc%28b%29cos%28a-b%29%5C%5C%5C%5Csec%28a%29csc%28b%29%5Bsin%28a%29sin%28b%29%2Bcos%28a%29cos%28b%29%5D%5C%5C%5C%5C%5Cfrac%7Bsin%20%28a%29%7D%7Bcos%20%28a%29%7D%20%2B%5Cfrac%7Bcos%28b%29%7D%7Bsin%28b%29%7D)
Answer:
=8v9g(x)
Step-by-step explanation: