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.
Solve the equation
So we have:
Factor, 2 numbers of which the sum is -13 and multiplying gives 36, these two are -4 and -9
So solve:
The solutions:
4 and 9
You can solve this problem and calculate the arc lenght, by applying the following formula:
s=θr
s: it is the arc lenght.
θ: it is the central angle (θ=2π/3).
r: it is the radius of the circle (r=10 inches).
When you substitute these values into the formula, you obtain the arc lenght (s):
s=θr
s=(2π/3)(10)
Then, you have that the value of the arc lenght is:
s=20.94 inches
m = 4, p = 4
Note that when two variables are placed directly next to each other, you are multiplying
plug in 4 for both m and p
(4)(4) + 4
Multiply
4 x 4 = 16
Add
16 + 4 = 20
20 is your answer
hope this helps
Given the table below which shows the result of a survey that asked 2,881 people whether they are involved in any type of charity work.
![\begin{tabular} {|c|c|c|c|c|c|} &Frequently&Occassionally&Not at all&Total\\[1ex] Male&227&454&798&1,479\\ Female &205&450&747&1,402\\ Total&432&904&1,545&2,881 \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7C%7D%0A%20%26Frequently%26Occassionally%26Not%20at%20all%26Total%5C%5C%5B1ex%5D%0AMale%26227%26454%26798%261%2C479%5C%5C%0AFemale%20%26205%26450%26747%261%2C402%5C%5C%0ATotal%26432%26904%261%2C545%262%2C881%0A%5Cend%7Btabular%7D)
Part A:
If a person is chosen at random, the probability that the person is frequently or occassinally involved in charity work is given by
Part B:
If a person is chosen at random, the probability that the person is female or not involved in charity work at all is given by
Part C:
If a person is chosen at random, the probability that the person is male or frequently involved in charity work is given by
Part D:
If a person is chosen at random, the probability that the person is female or not frequently involved in charity work is given by
Part E:
The events "being female" and "being frequently involved in charity work" are not mutually exclusive because being a female does not prevent a person from being frequently involved in charity work.
Indeed from the table, there are 205 females who are frequently involved in charity work.
Therefore, the answer to the question is "No, because 205 females are frequently involved charity work".
