If we assume Sam would achieve his aim of cutting the metal into 8 pieces.
Then he will make 8 cuts. It takes him 5 minutes to make each cut. This is how long it takes to make the cut. This only tells us that he will take a total of 8*5 = 40 minutes, to make all the cuts.
Sam will make 8 cuts as stated in the question.
18a:16 18b:32 % means out of 100
Answer:
(53.812 ; 58.188) ; 156
Step-by-step explanation:
Given that :
Sample size (n) = 51
Mean (m) = 56
Standard deviation (σ) = 9.5
α = 90%
Using the relation :
Confidence interval = mean ± Error
Error = Zcritical * (standard deviation / sqrt (n))
Zcritical at 90% = 1.645
Error = 1.645 * (9.5 / sqrt(51))
Error = 1.645 * 1.3302660
Error = 2.1882877
Hence,
Confidence interval :
Lower boundary = 56 - 2.1882877 = 53.8117123
Upper boundary = 56 + 2.1882877 = 58.1882877
Confidence interval = (53.812 ; 58.188)
2.)
Margin of Error (ME) = 1.25
α = 90%
Sample size = ((Zcritical * σ) / ME)^2
Zcritical at 90% = 1.645
Sample size = ((1.645 * 9.5) / 1.25)^2
Sample size = (15.6275 / 1.25)^2
Sample size = 12.502^2 = 156.3000
Sample size = 156
Y=mx+b is what I learned and point slope is y-y1=m*x-x1
First make the denominators of the fractions the same by multiplying.

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Now we just need to add the fractions together

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9/6 would be the answer, but it can be simplified further, then converted into decimal form.

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=1.5 yardsYour final answer is 1.5 yards of ribbon are needed.