Answer:
1) 4:7
2) 3:1
3) $0.50 per ounce
4) 7.5 degrees per hour
5) 61 mils per hour
6) 30 pounds per box
7) $1.89 per notebook
8)
a. 3 centerpieces for party per hour
b. 14 hours
Answer:
6.57 x 10 to the power of 5
Step-by-step explanation:
I believe the answers to your question should be as follow:
-4, 3
4, 3
-4, -3
-8, 6
Please tell me if this isn't correct!
Answer:
Total cost = 16
Step-by-step explanation:
In the equation of cost, we can see that each rose costs 3 and each petunia costs 2.5.
To find the total cost of two roses and four petunias, we can use the values r = 2 and p = 4 in the equation given, so:
Total cost = 3r + 2.5p = 3*2 + 2.5*4 = 6 + 10 = 16
So the total cost of two roses and four petunias is 16.
Answer:
Step-by-step explanation:
1) As the sample size is 1,000 and there are 23 defectives in the output of the sample collected from Machine #1, the answer is 23/1000=0.023.
2) Estimate of the process proportion of defectives is the average of the proportion of defectives from all samples. In this case, it is : (23+15+29+13)/{4*(1000)}=80/4000=0.02.
3) Estimate of the Standard Deviation: Let us denote the mean (average) of the proportion of defectives by p. Then, the estimate for the standard deviation is : sqrt{p*(1 - p)/n}. Where n is the sample size. Putting p = 0.02, and n = 1000, we get: σ=0.0044.
4) The control Limits for this case, at Alpha risk of 0.05 (i.e. equivalent to 95% confidence interval), can be found out using the formulas given below:
Lower Control Limit : p - (1.96)*σ = 0.02 - (1.96)*0.0044=0.0113.
& Upper Control Limit: p + (1.96)*σ = 0.02 + (1.96)*0.0044 = 0.0287.
5) The proportion defective in each case is : Machine #1: 0.023; Machine #2: 0.015; Machine# 3: 0.029; Machine# 4: 0.013. For the Lower & Upper control limits of 0.014 & 0.026; It is easy to see that Machines #3 & #4 appear to be out of control.
