Answer:
c. 10
Step-by-step explanation:
Eliminate parentheses using the distributive property.
3(b+4) -2(2b+3) = -4 . . . . given
3b +12 -4b -6 = -4 . . . . . parentheses eliminated
-b +6 = -4 . . . . . . . . . . . . collect terms
-b = -10 . . . . . . . . . . . . . . subtract 6
b = 10 . . . . . . . . . . . . . . . . multiply by -1
_____
The rules of equality require that any operation you perform on one side of the equal sign must also be done on the other side. So when we say "subtract 6", we assume you know that means "subtract 6 from both sides of the equation", for example.
The answer is A because if you subtract 44 with 23 its 21 and if you add 44 +21 it’s 23 so that means Stephen won 21 tennis matches
When you raise a negative integer (in this case -1) to an even integer (30), the end result will be positive (1), but when you raise it to an odd integer (31), the end result will be negative (-1). The sign of the product fluctuates between positive and negative depending on the type of integer it’s raised to.
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
Slope: (y2-y1)/(x2-x1)
(-13-(-7)) = -6
-6/3 = -2
x - 3 = 3, x = 6
The solution: x = 6