Answer:
1.8% or 1.818181%
Step-by-step explanation:
If in a batch of 440 water purifiers, we find 8 to be defective.
Then the probability of the next purifier being defective is 8/440
In percentage = 8/440 * 100
=> 8/44 * 10
=> 8/22 * 5
=> 40/22
=> 20 / 11
20/11 is roughly 1.8181818
Rounding it to the nearest tenth, we get 1.8%
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Answer: it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer:
The model represents the decimal 73.
Step-by-step explanation:
The model is 10x10. You must count the blue blocks. The number of blue blocks is 73, therefore it represents the decimal 73. (Hope this helped!)
Use photo math, it will help you with your answer a lot more.
