Answer:
12:56
Step-by-step explanation:
just do 4mm x 3.14 = 12.56
The phrasing "nine times out of ten" means 9/10 = 0.90 = 90% is the confidence level. We're confident 90% of the time that the confidence interval captures the population parameter we're after (in this case mu = population mean)
The portion "have an average score within 5% of 75%" means that 75% = 0.75 is the center of the confidence interval, and it goes as low as 0.75 - 0.05 = 0.70 and as high as 0.75 + 0.05 = 0.80
This confidence interval is from 70% to 80%, meaning that nine times out of ten, we're confident that the average score is between 70% and 80%
We write the confidence interval as (0.70, 0.80). It's common to use the notation (L, U) to indicate the lower (L) and upper (U) boundaries. You might see the notation in the form L < mu < U. If so, then it would be 0.70 < mu < 0.80; either way they mean the same thing.
The margin of error is 0.05 as its the 5% radius of the interval. It tells us how far the most distant score is from the center (75%)
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In summary, we have these answers
- confidence level = 90%
- margin of error = 5% = 0.05
- confidence interval = (0.70, 0.80)
- interpretation = We're 90% confident that the average exam score is between 0.70 and 0.80
Answer:
its either 3 or 4
Step-by-step explanation:
Answer:
Triangle DEF is congruent to triangle GHI.
Step-by-step explanation:
There are theorems of congruency. They are SSS, SAS, ASA, and AAS. You can look these up if you are willing to master identifying similarity and congruency in triangles. It is an ideal concept. You can tell based off of marks of eqaulity which triangles are truly congruent. Just remember these theorems dela with angles and sides being eqaul.
(Khan academy is sure to help you master this. They have practice aswell)
