Answer:
25.8
Step-by-step explanation:
divide
Answer: His Total salary this month = $2585
Step-by-step explanation:
Alex sold 7 cars/month, average price of each car = $4500
total car sales = $4500 x 7 = $31500 for the month
He earns a 9% commission on his monthly sales after the first $10,000.
So he earns 9% commission on $31500 - $10,000 = $21500
9% of $21500 = $1935
His base salary is $650.
His Total salary this month = base salary + 9% commission = $650 + $1935 = $2585
Answer: The system will succeed when the first alarm rings or when the first one fails, but the second one rings. The probability of this is 0.98
The probability of system failure is 1-(probability of success)= 1-0.98= 0.02
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that an inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips.
![H 0 : p = 0.10 , \\H a : p < 0.10](https://tex.z-dn.net/?f=H%200%20%3A%20p%20%3D%200.10%20%2C%20%5C%5CH%20a%20%3A%20p%20%3C%200.10)
n =100
SE = ![\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.1*0.9}{100} } \\=0.03](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D%20%3D%5Csqrt%7B%5Cfrac%7B0.1%2A0.9%7D%7B100%7D%20%7D%20%5C%5C%3D0.03)
Sample P = 6 out of 100 = 0.06
p difference = -0.04
p value = 0.484
Since p value >0.05 we accept null hypothesis
K(x) = (1/4)^x
(1,4) when x = 1, k(1) = (1/4)^1 = 1/4....FALSE
(3, 1/64) when x = 3, k(3) = (1/4)^3 = 1/64....TRUE
(-1,4) when x = -1, k(-1) = (1/4)^-1 = 4....TRUE
(0, 1/4) when x = 0, k(0) = (1/4)^0 = 1....FALSE
answer
(3, 1/64)
(-1,4)