Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability </u>of a success on each trial.
The expected number of trials until q successes is:
In this problem, the parameters are given as follows:
q = 50, p = 0.32.
Hence:
More can be learned about the binomial distribution at brainly.com/question/24863377
#SPJ1
The Christmas tree will be 50 feet tall for the blueprint below to work
Find the diagram attached;
Given the following parameter:
- Height of the tower = 100 feet
- Base of the larger triangle = 2 feet
- Base of the smaller triangle = 1ft
Using the similarity theorem of a triangle;
100/(1+1) = H/1
100/2 = H/1
50 = H
H = 50
Hence the Christmas tree will be 50 feet tall for the blueprint below to work
Learn more on similarity theorem here: brainly.com/question/24184322
Answer:
207 m²
Step-by-step explanation:
width = x
length = 3x - 4
2(length + width ) = Perimeter
2(3x - 4 + x) = 64
4x - 4 = 64/2
4x - 4 = 32
4x = 32 + 4
4x = 36
x = 9 m - width
length = 3x - 4 = 3 · 9 - 4 = 23 m
Area = length · width = 23 · 9 = 207 m²
Answer:
The distance 5 miles North-East of the intersection between the car and the truck increasing at 71.06 miles per hour at that moment.
Step-by-step explanation:
Looking at the attached figures, Fig 1 shows the diagram of the car and the truck.
Using Pythagoras theorem on Fig 1a,
The resultant displacement between the car and the truck at that same moment is 5 miles.
From the velocity vector diagram on Fig 2,
The resultant velocity R is given as
Therefore, the distance 5 miles North-East of the intersection between the car and the truck increasing at 71.06 miles per hour at that moment.
The total possible number of outcomes for the season record is .
<h3>What is an outcome?</h3>
An event that may be given a mathematical probability is known as an outcome in mathematics (an outcome of an experiment). The amount of potential outcomes for a particular experiment determines the probability assigned to each result.The result of an experiment is a number of outcomes.
According to the question,
The basketball team at a college will play 33 games next winter. There are only two possible outcomes for each game: a win or a loss.
So, the total number of possible outcomes for the season record=.
Learn more about outcomes here:
brainly.com/question/25688842
#SPJ4