1) We can find the magnitude of a vector(a.k.a. the norm) of a vector and the direction, by making use of the following formulas:
2) In this question, the magnitude and the direction of that vector have been given to us. So, let's do the other way around to identify which one has this magnitude and direction.
Note that since we want a positive value, we need to add 360 degrees.
Answer:
D is equivalent to the expression.
Step-by-step explanation:
The expression that is given equals 2.8, or 2.8x.
A. This expression equals 1.6x, and 1.6x is not equivalent to 2.8x
B. 0.3x + 3.1 = 3.4x. This doesn't have the answer of 2.8x.
C. 1.3 - 0.3x = 1 or x.
D. 3.1 - 0.3x = 2.8x. D is the answer.
Answer:
- Range = 1.2 , variance = 10.153, standard deviation = 3.18611.
- No.
Step-by-step explanation:
The foot lengths in inches for 11 randomly selected people taken in 1988. are
First, we need to arrange the given data in ascending order.
1. To find the range<u>,</u> we need to determine the maximum value and the minimum value in the given sample, and to subtract them. The maximum value is 9.7 and the minimum value is 8.5. Therefore,
The variance is given by
where
In this case, . Therefore,
Hence, the variance is
Now, we can calculate the standard deviation.
2. No, this statistics are not representative of the current population of all people, since they are measured for the 1988. population.