Answer: 53/5, 101/20
Step-by-step explanation:
10.6 is = 106/10. Then divide both numerator and denominator by 2. Then it equals 53/5.
5.05 = 505/100. Then divide both numerator and denominator by 5. This will equal 101/20.
Answers:
- Discrete
- Continuous
- Discrete
- Continuous
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Explanations:
- This is discrete because we can't have half a basketball, or any non-whole decimal value to represent the number of basketballs. We can only consider positive whole numbers {1,2,3,4,...}. A discrete set like this has gaps between items. In other words, the midpoint of 2 and 3 (the value 2.5) isn't a valid number of basketballs.
- This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.
- This is the same as problem 1, so we have another discrete function. You either score a bullseye or you don't. We can't score half a bullseye. The only possible values are {1,2,3,4,...}
- This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.
So in short, always try to ask the question: Can I pick two different values, compute the midpoint, and have that midpoint make sense? If so, then you're dealing with a continuous variable. Otherwise, the data is discrete.
Answer: 1.509
Step-by-step explanation:
The formula of Margin of Error for (n<30):-
Given : Sample size : n= 22
Level of confidence = 0.99
Significance level : 
Using the t-distribution table ,
Critical value : 
Standard deviation: 
Then, we have
Hence, the margin of error for a 99% confidence interval for the population mean =1.509
Answer:
Step-by-step explanation:
This first step is to take the square root of the minus which is understood to be - 1
sqrt(-1) = i
So far what you have is
sqrt(-98) = i*sqrt(98)
sqrt(98) is just found the ordinary way
sqrt(98) = sqrt(7*7*2)
sqrt(7*7*2) = 7*sqrt(2)
Answer: 7 * i * sqrt(2) = i7*sqrt(2)
Pick the choice that looks like what you have done for homework.
Answer:
11/306
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that there are 4 red, 8 yellow, and 6 blue socks in a drawer where the probability of picking a red, yellow and blue socks be p(r), p(y), and p(b) respectively.
The probability of reaching into the drawer without looking and drawing out 2 blue socks
= 6/(4 + 8 + 6) * 5/(4 + 8 + 5)
= 6/18 + 5/17
= 11/306
