Answer:
a) 0.194
b) $440.8
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $9.40
Standard Deviation, σ = $4.40
Formula:
Standard error due to sampling =
![\dfrac{\sigma}{\sqrt{n}} = \dfrac{4.40}{\sqrt{40}} = 0.6957](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cdfrac%7B4.40%7D%7B%5Csqrt%7B40%7D%7D%20%3D%200.6957)
a) P(tips from 40 parties > $400)
Thus, the average pay is
![\dfrac{400}{40} = \$10](https://tex.z-dn.net/?f=%5Cdfrac%7B400%7D%7B40%7D%20%3D%20%5C%2410)
P(x > 10)
Calculation the value from standard normal z table, we have,
b) We have to find the value of x such that the probability is 0.01
Calculation the value from standard normal z table, we have,
Thus, the mean tip is $11.02
Tip for 40 parties =
![11.02\times 40 = \$440.8](https://tex.z-dn.net/?f=11.02%5Ctimes%2040%20%3D%20%5C%24440.8)
Thus, he earns $440.8 on the best 1% of such weekends.
Answer:
Step-by-step explanation:
The equations that she wrote are
6x+8y=133
2x=y
The following statements about the system are true
1.Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133
5. The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
The following statements are wrong because,
2. Because there was no relationship between the number of pipes sold and the size of each pipe.
3. x=2y shows that there are more 8 inches pipes
4. 6 and 8 are just size descriptions. It is only the cost of each size of pipe that related to the total cost
The quotient of the difference of the product of 3 and a number and the product of 8 and a number and 13
Answer: 22
Step-by-step explanation: