Answer:
the required probability is 0.0071
Step-by-step explanation:
Given the data in the question;
we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.
so total number of combinations for the narrowed down metrics is computed as follows;
using multiplication rule:
⇒ 4 × 5 × 7 = 140 ways
Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;
⇒ 1 / 140
{ assuming that the narrowed down choices have within it the correction combination }
= 0.007142 ≈ 0.0071 { four decimal place }
∴ the required probability is 0.0071
<h3>2
Answers: </h3>
B) p and the q are switched
C) Neither p or q is negated
========================================================
Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
- Original = If P, then Q
- Converse = If Q, then P
- Inverse = If not P, then not Q
- Contrapositive = If not Q, then not P
Side notes:
- The original and contrapositive are equivalent in truth value.
- The converse and inverse are equivalent in truth value.
Answer:
0.004059
Step-by-step explanation:
You can use a calculator and if it comes out in fraction form, press the fraction to decimal button.
To find the x intercept of the function, we would find g(x) = 0
To do this, we would set each expression in the piecewise function to zero and solve for x. We have
For
x/3 + 2 = 0
let us multiply both sides of the equation by 3. We have
x/3 * 3 + 2 * 3 = 0 * 3
x + 6 = 0
x = - 6
- 6 is less than - 1
- 6 < - 1
It satisfies the inequality. Thus, x = - 6 is in the domain
For
4x - 2 = 0
adding 2 to both sides of the equation, we have
4x - 2 + 2 = 0 + 2
4x = 2
Dividing both sides of the equation by 4, we have
4x/4 = 2/4
x = 1/2
x = 1/2 is less than 1. It is not in the domain of this equation. Thus, there is no x interscept at x = 1/2
Therefore, the x intercept of the piecewise function is (- 6, 0)
(x-6)(x+2)
When you foil it you get x^2+2x-6x-12
After you do this you then add like terms to get x^2-4x-12
Therefore the answer (x-6)(x+2) is correct.
