13, 11, 4, 5, 6, 9, 10, 12, 15, 16
put the numbers from smallest to greatest
4,5,6,9,10,11,12,13,15,16
Mode means the popular number. The number that comes up a lot.
Answer: No mode because none of the numbers appear more than one.
Answer:
4. James' hand
5. Salvador's plane traveled the furthest and Jennifer's plane traveled the shortest.
Step-by-step explanation:
4. James' hand is bigger because 0.17>0.165. You can add as many zeros to the end of each of them as you would like. You can think of this word problem as 0.170 versus 0.165. Or, if you needed to, you could pretend like they're whole numbers, and it would be 170 versus 165. Either way, 0.170 is going to be bigger than 0.165.
5. Salvador's plane traveled the furthest. Jennifer's plane traveled the shortest distance. All three numbers have a 3.3 in them. Now, it's a matter of who has the highest number in the blank after the 3.3: 3.3_. Because Jennifer's plane had a 0 in the blank, she traveled the shortest distance. 5 is bigger than 4.5, so Salvador's plane (the 3.35 one) traveled furthest.
I got y = 2x + 12 because the question is only looking for the cost of Fitness Fest, not Gerry’s Gym.
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
