Given two vectors

they are parallel if they are a multiple of each other:

You can easily test this by checking if

they are orthogonal if their dot product is null:

For example, in the first case, we have

So, they aren't parallel. Similarly, you have

So, they aren't orthogonal.
In the second case, we have

So, they aren't parallel, and

So, they are orthogonal.
Finally, we have

So, they are parallel (and thus can't be orthogonal)
Answer:
Number of Books. Cost (dollars). 7 14. 8 16. 9 18. Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form...
Answer:
His share is $30
Step-by-step explanation:
Here, we are interested in knowing the amount of money that Johnson get.
From the ratio, we can see that Johnson’s ratio is the largest at 6
so to calculate his share of the $50, we add all the ratios together = 1 + 3 + 6 = 10
Now his share would be his ratio over the total * 50
= 6/10 * 50 = $30
Answer: 0.3061.
Step-by-step explanation:
Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean
, the actual temperature of the medium, and standard deviation
.
Let X be the random variable that represents the reading of the thermometer.
Confidence level : 
We know that the z-value for 95% confidence interval is 1.96.
Then, we have

But all readings are within 0.6° of
.
So,

Hence, the required standard deviation will be
Answer:
A x ≤ 17/2
Step-by-step explanation:
(2x+7) /-4 ≥ -6
Multiply each side by -4, remembering to flip the inequality
(2x+7) /-4 *-4 ≤ -6*-4
2x+7 ≤ 24
Subtract 7 from each side
2x+7-7 ≤ 24-7
2x ≤ 17
Divide each side by 2
2x/2 ≤ 17/2
x ≤ 17/2