Answer: 
Step-by-step explanation:
The confidence interval estimate for the population mean is given by :-
, where 
is the sample mean and ME is the margin of error.
Given : Sample mean: 
The margin of error for a 98% confidence interval estimate for the population mean using the Student's t-distribution : 
Now, the confidence interval estimate for the population mean will be :-
Hence, the 98% confidence interval estimate for the population mean using the Student's t-distribution =
There are $9842 in her account at the end of last year.
Step-by-step explanation:
Given,
Amount in account = $7600
Increment by the end of year = 29.5%
Amount of increase = 29.5% of amount in account
Amount of increase = 
Amount of increase = 0.295*7600 = $2242
The increase is $2242.
Amount after increase = 7600 + 2242 = $9842
There are $9842 in her account at the end of last year.
Keywords: percentage, division
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Answer:
selecting one item? If you mean each color:
40% chance for a red marble / 2/5 chance
60% chance for a blue marble / 3/5 chance
Step-by-step explanation:
Because there are 12 blue marbles and 8 red marbles, we would total them to see how many marbles there are in total. There are 20 in total, but to find the probability, if we put all 20 marbles in a bag (blue and red), and we picked a marble at random, there are 8 red marbles and 12 blue marble in that bag. The probability that I will choose red marbles is 8/20 (or 8 red marbles out of 20 total marbles), and for blue marbles, it would be 12/20 (or 12 blue marbles out of 20 total marbles). Simplify both expression to 2/5, and 3/5 respectively. Finally, if you need percentage, just multiply the denominator by 5 to get it to a hundred, and do the same to the numerator. This way you don't change the value of the expression.
Answer:
14$ times 12 hours =
168$
168$ times 4 weeks = 672$
Step-by-step explanation:
