The vectors

are linearly independent if the ONLY solution to the following equation:

is
Total no. of hours you spent biking = 2 hours
the speed at which you rode your bike ≤ 17.6 mph
Now,
We have,




So, you for given conditions, you can't travel more then 35.3 miles
So, the inequality for the given circumstances is:
x ≤ 35.2
Answer:
31.4 inches
Step-by-step explanation:
36+144 = 180
sqrt(180) = 13.41
6 + 12 + 13.4
Answer: the correct answer is b x=11
Step-by-step explanation:
2x - 3x + 3x = 5x + 30 + 3
2x = 5x + 33
( 2x - 5x = 5x + 33 - 5x
(1/3)-3x = 33x (1/3) Here we divide it but since it is 1/3, it is the same as dividing 3 divided by 11
1x = 11
x=11
Answer: Option B
Step-by-step explanation:
First we assign a name to the events:
Event S: a customer buys socks
Event H: a customer buys shoes.
We know that :

We also know that the probability of S given that H occurs is:

If two events S and H are independent then:

This mean that if two events S and H are independent then:


We know that:
and 

This means that S and H events are dependent.
The answer is the option B