Answer:
17 dimes and 21 nickels.
Step-by-step explanation:
I’m not sure on how
To answer
The answer is: " -8 √5 " .
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Note:
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√-8 *√-40 = i√8 * i√40 ; {since: "i" refers to the imaginary number; " √-1 " } ;
= i² * √8 *√40 ;
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Note:
"√8 * √40 = ? " ;
↔ " √8 = √4 √2 = 2√2 " ;
"√40 = √4 √10 = 2√10" ;
→ "√8 √40 = 2 * 2 * √2 * √10 ;
= 4 * √(2*10) ;
= 4 √20 ;
→ " √20 = √4 √5 = 2√5 ;
→ 4 √20 = 4 * 2 * √5
= 8 √5 ;
→ i² * 8 √5 ;
↔ 8 i² √5 ;
Note: " i² = -1" ;
→ 8(-1) * √5 ;
= -8 √5 .
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Answer: (97.63, 99.77)
Step-by-step explanation:
Given the data:
99.6 99.7 97.9 98.6 97.7
Using calculator, we can obtain the mean and standard deviation of the sample data:
Mean(m) = 98.7
Standard deviation = 0.93
Sample size (n) = 5
Using the relation to find confidence interval :
Mean ± Zcrit * (s/√n)
Zcrit at 99% = 2.576
98.7 ± 2.576 * (0.93 / √5)
Lower limit : 98.7 - (2.576 * 0.4159086) = 97.6286194464 = 97.63 ( 1 decimal place)
Upper limit : 98.7 + (2.576 * 0.4159086) = 99.7713805536 = 99.77 ( 1 decimal place)
(97.6, 99.8)
Answer:
9c^2
Step-by-step explanation:
The greatest common factor (GCF) is the largest positive integer that divides each of the integers. In this case we have the terms 207c^3 and 108c^2. Both terms can be divided by 9c^2 to get 9c^2(23c + 12). Notice that 23c + 12 can no longer be further simplified so 9c^2 is the GCF.
