Answer:
Step-by-step explanation:
For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Fair coin:
Equally as likely to be heads or tails, so 
5 tosses:
This means that 
Probability distribution:
Probability of each outcome, so:
Hello! First we should note that the shape of the figure can be broken down into two rectangular prisms, so that the expression will look like:
Volume = (w • h • l) vertical rectangular prism + (w •h • l) horizontal rectangular prism
Thus Volume = (7 • 3 • 3) + (9 • 3 • 4)
1hr 6min left because all you have to do is keep subtracting
Answer:
The width of rectangle w = 4 units
Step-by-step explanation:
We are given:
Width of rectangle = w
Length of rectangle = w+ 4
Area of rectangle = 32 units
We need to find width of the rectangle
The formula used is: 
Putting values and finding width of rectangle
We need to solve this quadratic equation to find width (w)
We will use factorisation and break the middle term.
Since width of rectangle can't be negative, so rejecting w=-8
Therefore, the width of rectangle w = 4 units
