1. P(A) c. The probability that event A occurs.
2. P (A ∩ B) a.<span>The probability that both event A and event B occur.
3. </span>P (A ∪ B) <span>d. The probability that either event A or event B occurs
</span>4. 1 - P (A ∩ B) e. <span>The probability that both events A and B do not occur together, but either may occur by itself
</span>5. 1 - P (A ∪ B) f. <span>The probability that neither event A or event B occurs
</span>6. P (A | B) b.<span>The probability that event A occurs given the fact that event B occurs</span>
The terms are 4p, 5, and -3g
The Coefficients are 4, 5, and -3
Complete question is;
What is the magnitude and direction of (-3.7i) + (7.4j)?
Answer:
Magnitude = 8.27
Direction = 116.57°
Step-by-step explanation:
Magnitude of the vector will be;
|R| = √((-3.7²) + (7.4²))
|R| = √68.45
|R| = 8.27
Direction will be;
tan θ = 7.4/-3.7
tan θ = -2
θ = tan^(-1) -2
θ = -63.43°
Angle is negative but we can't present it as such.
Now, in the second and fourth quadrants, tan θ has a negative value.
However, from the components of the vector we are given, we see that we work here in the 2nd quadrant since the i vector is negative and j vector is positive. Therefore, a reference angle of 63.43° means that the actual angle is 63.43° above the negative x axis and can be written in standard form as;
180 − 63.43 = 116.57°
130,423.89 is your answer
Answer: x = 10
Explanation: To solve this equation for <em>x</em>, we start by distributing the 2 through the parentheses on the left side.
So we have 2 times <em>x</em> which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.
Solving from here,
we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that <em>x = 10</em>.
We can check our answer by substituting a 10 back in for <em>x</em> in the original equation and we have 2(10 - 3) = 14.
10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.
