Answer:
7,897.30 miles
Step-by-step explanation:
It is given that the North Pole is at a distance of 3,949 miles from the center of the earth.
We also know that the sea floor is below 2.4 miles from the sea level.
It is given that a submarine is located at the sea floor near North Pole. Hence, the distance of the submarine from the center of the earth would be
3949 - 2.4 = 3946.6 miles.
On the other hand, the South Pole is given to be at an elevation of 1.7 miles from the sea level.
Since we know that the sea level is at a distance of 3949 miles from the center of the earth, we can immediately calculate the distance of the South Pole from the center of the earth to be
3949 + 1.7 = 3950.7 miles.
Putting all of this together, we see that the center of the earth is at a distance of 3946.6 miles from the submarine near the North Pole, and the center of the earth in turn is 3950.7 miles from the South Pole.
Hence, the distance between the submarine and a person on the South Pole = 3946.6 + 3950.7 = 7897.3 miles.
Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is 
Given that:
Since O is the origin, then:
This means that:
So, we have:
Collect like terms
Hence, complex number Z3 is
Read more about complex numbers at:
brainly.com/question/18509723
Step-by-step explanation:
Perfect number is the positive integer which is equal to sum of proper divisors of the number.
Aliquot part is also called as proper divisor which means any divisor of the number which isn't equal to number itself.
<u>Number : 6 </u>
Perfect divisors / Aliquot part = 1, 2, 3
Sum of the divisors = 1 + 2 + 3 = 6
Thus, 6 is a perfect number.
<u>Number : 28</u>
Perfect divisors / Aliquot part = 1, 2, 4, 7, 14
Sum of the divisors = 1 + 2 + 4 + 7 + 14 = 28
Thus, 28 is a perfect number.
Standard form of an equation is ax + by = c, which in this case is 5x + 3y = 14, or B.
Answer:
The probability is 0.508 = 50.8%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0525 g.
This means that 
If 1 candy is randomly selected, find the probability that it weighs more than 0.8535 g.
This is 1 subtracted by the pvalue of Z when X = 0.8535. So
has a pvalue of 0.492
1 - 0.492 = 0.508
The probability is 0.508 = 50.8%.
