In the question "Ben is travelling home to Birmingham on the M1 and M42. Both motorways have road works.
He has a fifty-fifty chance of getting delayed on the M42 and a 75% chance of being delayed on the M1.
What are the chances that he will not be delayed on his journey?"
The chance that he will not be delayed in his journey is the chance that he will not be delayed on the M1 and<span> he will not be delayed on the M42.
Probability of getting delayed on the M1 = 75% = 0.75
Probability of not being delayed on the M1 = 1 - 0.75 = 0.25
Probability of getting delayed on the M42 = 50% = 0.5
Probability of not being delayed on the M42 = 1 - 0.5 = 0.5
Probability of not being delayed on the M1 and not being delayed on the M42 = 0.25 x 0.5 = 0.125 = 1 in 8</span>
I think this is the graph for your answer, for the next question like this, try to use "Desmos"
Answer:
(5a+4c)(2a-b)
Explanation:
Given the expression:
First, group the expression into two:
• In the first group, 5a is a common factor.
,
• In the second group, 4c is a common factor.
Factor these out by dividing each term by the GCF of each group.
Since the terms inside the brackets are the same, combine:
CHECK
To check if your result is correct in cases like these, expand as follows:
Our result is the same as the original question, hence, the work is correct.
Two points of intersection are on the graph at (-1,7) and (1,3).
The distance between the points (-2, -8) and (1,-4). Whole number or a fully simplified radical expression is
The formula may be used to determine the separation between two places.
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-2,-8) and (1,4)
The distance between them is
Apply rule -(-a)=a
Add the numbers:
Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.
Learn more about expressions brainly.com/question/14083225
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