Answer:
99
Step-by-step explanation:
First give it as a product of prime factors. Divide 9801 with prime numbers. The first picture divides 9801 fron prime numbers. Prime numbers are 2,3,5,7, 11. We can only divide using 3 and 11. So we get 3⁴ and 11². The second picture shows how I got the square root of 9801. Square root is ½. So we multiply each power with ½ so we finally get 99. You can recheck for yourself using a calculator. It is 99.
Answer:
a
Step-by-step explanation:
The sequence jumps by intervals of 3 each time. This tells us that the answer has 3n in it. Then, we know that the first value is two, which is 1 less than 3. This means the answer is a, 3n-1.
Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean lead concentration of sea water samples
Number of samples. n = 6
Mean, u = 0.903 cc/cubic meter
Standard deviation, s = 0.0566
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
0.903 +/- 1.96 × 0.0566/√6
= 0.903 +/- 1.96 × 0.0566/2.44948974278
= 0.903 +/- 0.045
The lower end of the confidence interval is 0.903 - 0.045 =0.858
The upper end of the confidence interval is 0.903 + 0.045 =0.948
Therefore, with 95% confidence interval, the mean lead concentration of the sea water is between 0.858 cc/cubic meter and 0.948 cc/cubic meter
Espero que te sirva de ayuda.
Try to divide by each prime number starting with 2. If it is divisible, keep trying the same prime number until it is not divisible. Then move on to the next prime number, 3. Keep dividing until you get 1. All the prime numbers you divided by are the prime factorization.
List of the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Start with 85.
85 is not divisible by 2.
Move on to 3.
85 is not divisible by 3.
Move on to 5.
85/5 = 17
17 is a prime number, so now divide 17 by 17.
17/17 = 1
We divided just by 5 and 17.
Answer: The prime factors of 85 are 5 and 17.
