(3,-1) to reflect over the x axis is to make the y coordinate negative
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Answer:
[472.29, 507.71]
Step-by-step explanation:
The proportion is
490/588 = 0.8333
The mean can be estimated as
= 490
and the standard deviation can be approximated with
= 9.037
and we just need to find two values a and b such that the area under the Normal curve of mean 490 and standard deviation 9.037 between a and b equals 95% = 0.95
<h3>(See picture)</h3>
With the help of a spreadsheet we can easily find these values which are
a = 472.288
b = 507.712
and the interval we are looking for, rounded to 2 decimals, is [472.29, 507.71]
Answer: you can rent the kayak for 5.3 hours
Step-by-step explanation:
Total amount of money that you have to spend at the beach is 50.
A kayak cost 5 per hour to rent. This means that if you rent the Kayak for X hours, the amount that you will spend would be 5×x = 5x. I buy lunch for 8.50. I want to save 15 for food later. This means that total amount of money spent is the sum of money spent in renting the kayak and buying of lunch.
Total amount spent = 5x + 8.50
Total amount spent + Total amount that you want to save = Total amount of money that you have to spend at the beach. Therefore
5x + 8.50 + 15 = 50 - 15 - 8.5 = 26.5
x = 26.5/5 = 5.3
You can set up the equation 3y=2r, with r standing for the amount of red paint in gallons, the same going for y. If you substitute in 8.5 for y, you get that 2r=25.5. Divie each side by 2, and r=12.75. So, Pedro uses 12.75 (or 12 and three-fourths) gallons of red paint.