Answer:
16 metres
Step-by-step explanation:
You're finding the perimetre of this rectangle, so have to add each side together to find the total distance he traveled (the perimetre of the rectangle, since he travelled in a rectangle).
3*2 is 6,
5*2 is 10
10 + 6 is 16.
Have a wonderful day, my friend.
"3 less than twice 'x' " . . . . that's (2x - 3)
" 2 more than the quantity (3 x) " . . . . . that's (3x + 2)
Their product is
(2x - 3) (3x + 2) .
If you want to expand it to a single expression, perform the multiplication,
and you have
6x² - 5x - 6 .
Answer:
74
Step-by-step explanation:
Order of operations: PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)
5(9)+2(6) ÷ 3 + 
= 45+12÷ 3 +25
=45+4+25
=74
Answer:
0.3164 = 31.64% probability the team wins all its conference games
Step-by-step explanation:
For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This 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.
A football team has a probability of .75 of winning when playing any of the other four teams in its conference.
The probability means that
, and four games means that 
If the games are independent, what is the probability the team wins all its conference games?
This is P(X = 4). So


0.3164 = 31.64% probability the team wins all its conference games