Answer:
The probability that the number of correct answers is 4 is 0.2461.
Step-by-step explanation:
Let <em>X</em> = number of correct answers.
The probability that an answer is correct is,P (X) = <em>p</em> = 0.50.
The total number of questions is, <em>n</em> = 9.
The event of an answer being correct is independent of the other answers.
The success of each trial is defined as a correct answer with equal probability of success for each trial, i.e. 0.50.
The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 9 and <em>p </em>= 0.50.
The probability mass function of <em>X</em> is:
Compute the value of P (X = 4) as follows:
Thus, the probability that the number of correct answers is 4 is 0.2461.
If the path runs diagonally, then a right angle triangle is made, with the width and length as the two sides, and the route taken as the hypotenuse.
Pythagorus' Theorem tells us that; <em /><em /><u><em /></u><em>A</em>² <em>= B</em>² <em>+ C</em>²
Where B and C are the two sides of a right angled triangle, and A is the hypotenuse.
Route taken = A
A² = B² + C²
A² = 3² + 6²
A² = 9 + 36
A² = 45
A = √45
A = 6.7 miles
Answer:
2 miles of road per day
Step-by-step explanation: