Answer:
The value of q are 0.781,-1.281.
Step-by-step explanation:
Given : Two vectors
and
are perpendicular to each other.
To find : The value of q ?
Solution :
When two vectors are perpendicular to each other then their dot product is zero.
i.e. 
Two vectors
and





Using quadratic formula,




Therefore, The value of q are 0.781,-1.281.
Answer:
the domain is the possible points on the x axis
Step-by-step explanation:
Answer:
The given system as (3,3) as its solution.
Step-by-step explanation:
Here, the given system of the equation is:
4 x + 2 y = 18
................ (1)
2 x + 3 y = 15 ............... (2)
Now, to use the elimination method, w need to eliminate any of the variable.
Eliminate the variable x in the given system.
Multiply equation (2) with -2 we get,
(2 x + 3 y = 15 )(-2) ⇒ -4x - 6y = -30 ....... (3)
Add (1) and (3), we get:
4 x + 2 y -4x - 6y = 18 -30
or, - 4 y = - 12
or, y = 12/4 = 3 ⇒ y = 3
Putting in (1), we get
4x + 2(3) = 18 or, 4x = 18 - 6 = 12
or, x = 3
(x,y) = (3,3)
Hence, the above system as (3,3) as its solution.
Answer:

Step-by-step explanation:
Average length 
Standard deviation 
Sample size 
Generally The point estimate for the mean length of all bolts in inventory is


Answer:
с. A matched pairs t-interval for a mean difference.
Step-by-step explanation:
With the sample, we will have possession of the sample mean and of the sample standard deviation, which means that the t-distribution will be used.
We want to find the mean number of back problems for each sample, and estimate the difference. Since the groups are similar, with only the positions in which they work being different, we have matched pairs. So the correct answer is given by option c.