Answer:
39
Step-by-step explanation:
Just add
Answer:
11
Step-by-step explanation:
5 and a half gallons is 11 half gallons
since 1 half gallon needs 1 salt pckt
11 half gallons will need 11 packets
A total of $27,000 was invested; part of it at 10% and part of it at 12%. The total yield was $2990. How much was invested at each rate?
Let
x -----> amount invested at 10%
(27,000-x) -----> amount invested at 12%
we have that
0.10(x)+0.12(27,000-x)=2990 ------> equation A
solve for x
0.10x+3,240-0.12x=2,990
0.12x-0.10x=3,240-2,990
0.02x=250
x=$12,500
so
27,000-x=27,000-12,500=$14,500
therefore
amount invested at 10% ----> $12,500
amount invested at 12% -----> $14,500
Answer:
602.50 hours
Step-by-step explanation:
Given that a manufacturing plant uses light bulbs whose life spans are normally distributed, with mean and standard deviation equal to 500 and 50 hours,
It was decided to replace the bulbs so that no more than 2% of the bulbs to burn out between replacement periods
i.e. we have to construct 98% confidence interval right tailed to get this.
Z value is 2.05 for this (Upper tailed 0.98 probability)
Hence margin of error 
The upper bound for this would be

So to keep below 2% the bulbs to burn out it should be replaced before 602.50 hours.
a^2 + b^2 = c^2 pythagorean theorem
7^2 +24^2 = 25^2
49 + 576 = 25^2
625 = 25^2
25^2 =25^2
a^2 + b^2 = c^2 pythagorean theorem
9^2 + 40^2 = 41^2
81+1600 = 41^2
1681 = 41^2
41^2 = 41^2