Answer:
Step-by-step explanation:
So we have the expression:
Distribute. Multiply (4x+5) to each term:
Distribute:
Combine like terms:
Add and simplify:
And this is in descending order, so it's in standard form.
Answer:
The probability of rolling a 6 on the next toss = 1/6
Step-by-step explanation:
Given - Using a six-sided die, you have rolled a 6 on each of four successive tosses.
To find - What is the probability of rolling a 6 on the next toss?
Proof -
As the outcomes of previous rolls do not affect the outcomes of future rolls.
And there is one desired outcome and six possible outcomes.
So,
The probability of rolling a six on the fifth roll = 1/6 which is same as the probability of rolling a six on any given individual roll.
So,
The answer is -
The probability of rolling a 6 on the next toss = 1/6
The answer would be 7(a - 1)
Answer:
21
Step-by-step explanation:
I shall change the pictures to letters
a + a + b = 40 --(1)
b - c = 7 --(2)
c + a = 19 --(3)
a - c + b = ?
From (1):
2a + b = 40
b = 40 - 2a --(4)
From (2):
b = 7 + c --(5)
Sub (4) into (5):
40 - 2a = 7 + c
c = 33 - 2a --(6)
Sub (6) into (3):
33 - 2a + a = 19
a = 14
Sub a = 14 into (4) and (6):
b = 40 - 2(14) = 12
c = 33 - 2(14) = 5
therefore, a - c + b = 14 - 5 + 12 = 21
Topic: simultaneous equations
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