A laundry detergent box meassures 12 inches by 8 inches by 2.5 inches. What us the volume of two boxes of detergent
1 answer:
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Answer:
Step-by-step explanation:
We have the polynomial x^2 + 18x + 81 and are being asked to factor this into two binomials.
A rule that I follow is what two numbers multiplied make c (in this case 81) and when added make b (in this case is 18).
So what two numbers when :
A. Multiplied make 81
B. Added make 18
This would be 9.
Now that we have the answer, we can put it into binomials.
(x + 9)(x + 9)
Since these are the same, we can combine it and make it into one.
Answer:
a. The sample size is approximately 97 adults
Step-by-step explanation:
The given parameters are;
The number of adults surveyed, n = 174
The lowest value of the pulse rate = 39 bpm
The highest value of the pulse rate = 111 bpm
The level of confidence used for determining the sample size = 90%
The given sample mean = 3 pm of the population mean
a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range
The range = 111 bpm - 39 bpm = 72 bpm
Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm
The sample size, 'N', is given as follows;
Where;
N = The sample size
z = The confidence level, 90% (z-score at 90% = 1.645)
p·q = σ² = 18² = 324
e² = 3² = 9
Therefore the appropriate sample size, N ≈ 97 adults.