Try this inequality with 0 as the right side.
-x > 0
According to John, we multiply both sides by -1, and the inequality sign does not change direction, so we get this
x > 0
Let's use a number for x that makes the original inequality true.
Let x = -2.
-x > 0
-(-2) > 0
2 > 0
As you can see, -2 does work on the original equation.
Now let's try -2 in John's solution.
x > 0
-2 > 0 which is a false statement.
Now let's solve it again, but we will reverse the inequality symbol when we multiply both sides by -1.
-x > 0
x < 0
Try x = -2.
-2 < 0 which is true
Now it works.
John is incorrect.
If you multiply or divide an equation by a negative number, even if one of its sides is 0, you still must change the direction of the inequality symbol.
3.75 is the correct answer
In order to figure out the half-life, you divide to sample by 2. In order to find how many times to divide it you divide 15 by 3 and get 5. Therefore, you divide 120 by 2, 5 times and get 3.75
Answer:
1. 0.1445
2. 0.3426
3. 0.6574
Step-by-step explanation:
Let L be the event that there is liquid in the bag
Let + the be event of a positive test.
we are given:
P(+ | L) = 0.99
P(+ | L') = 0.10
P(L) = 0.05
1. Find P(+), use the Law of Total Probability to do this:
P(+) = P(+|L)P(L) + P(+ | L')P(L')
= 0.99 * 0.05 + 0.1 * (1- 0.05)
= 0.1445
2. Find P( L | + ) = P( L ∩ + ) / P(+) . . . definition of conditional probability
= P( + | L ) P(L) / P(+) . . . again using definition of conditional probability
= 0.99 * 0.05 / 0.1445
= 0.3426
3. P( L' | + ) = 1 - P( L | + ) = 1 - 0.3426 = 0.6574
Answer:
y=x+1
m=1
b=1
Step-by-step explanation:
-2x+2y=2
+2x +2x
2y=2+2x
divide by 2
y=1+x
rewrite
y=x+1
Since b is the y intercept, b would equal 1.
The slope of the line, or m, would be 1 as well.
I am almost positive that the answer is B. This is because the exponents are decreasing as you go right