Answer:
So length of top of table is 3x-7 inches.
Step-by-step explanation:
Here we are given that the top of the table has a width that is given by 2x inches.
The area of the top is given by:

Now the top of the table is of the shape of rectangle and area of rectangle is given by:

where l is length of the table and w is width of the table.
Plugging the values of A and w in the formula we have:

Dividing by 2x,
l=3x-7 inches
So length of top of table is 3x-7 inches.
Answer:
91.02% probability of selling more than 4 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution 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.
In this problem we have that:

Compute the probability of selling more than 4 properties in one week.
Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So

We want to find
. So

In which

So






So

Finally

91.02% probability of selling more than 4 properties in one week.
Answer:
Thnx Bro
U to
Step-by-step explanation:
Answer:
Option B. 8 mi, 9 mi, 2 mi
Step-by-step explanation:
The option A doesn't have a set of numbers which could be the lengths of the sides of a triangle. The numbers 1,9,10 mean that the longest side is exactly the sum of the others. The only possible way is they lie in the same line, no triangle is formed
Option C gives the numbers 1,9,11. It's impossible to have a side of 11 when you have the sum of the others less than 11. The maximum extension of the other sides (forming a line) won't be enough to reach the length of 11
Option D is also infeasible for the same reason as the option A. The three lines must be aligned to be connected in its extremes
Option B is the only one who can provide a set of possible lengths of a triangle since the sum of the shortest sides is greater than the third. If we open wide enough the angle between the 2 mi side and the 8 mi side, we would eventually connect the 9 mi side and form a triangle