Slope of blue using their 2 points is 4/6 or 2/3
slope of green using their points is 2/3 which is the same as the other triangle.
4/6 = 2/3. and this is true, the slopes are equal
Its better to choose the simple random samples, if the defect is in every other cake, a systematic random sample could miss it completely depending on what Sergio chooses for k.
Here he is taking a random sample of cakes to get a better idea of how many cakes might have this defect.
The random sample is defined as the method of choose a sample from the group of sample and each of the sample has same probability of being chosen
The systematic sample is the method of choosing the sample from the group of sample with a periodic interval.
Here Sergio noticed a potential defect that seems to be showing in every other cake, so there will be chance of missing the defect completely
Hence, to choose the defect items, the simple random sample is better than systematic random sample.
Learn more about simple random sample here
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Answer:
2.35%
Step-by-step explanation:
Mean number of months (M) = 39 months
Standard deviation (S) = 10 months
According to the 68-95-99.7 rule, 95% of the data is comprised within two standard deviations of the mean (39-20 to 39+20 months), while 99.7% of the data is comprised within two standard deviations of the mean (39-30 to 39+30 months).
Therefore, the percentage of cars still in service from 59 to 69 months is:

The approximate percentage of cars that remain in service between 59 and 69 months is 2.35%.
Answer:
Step-by-step explanation:
1.cos
2.sin
3.cos
4.tan
5.sin
6.tan
First blank : Distributive property
Second : Simplify
Third : Subtraction property of Equality
Fourth : Division property of Equality