1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sveta [45]
3 years ago
6

A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are

independent, what is the probability the team wins all its conference games?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0

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.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

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 p = 0.75, and four games means that n = 4

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164

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

You might be interested in
What is the value of (6.6*10¹⁷)-(9.2*10¹⁴) over (4*10¹⁶)
Gennadij [26K]

Answer:

6.59999999999999999977 × 10^17

Step-by-step explanation:

6.6 x 10^17 - (9.2 x 10^14)/(4 x 10^16)

4 0
3 years ago
Help pls, Yes or no
AnnZ [28]

Answer:

Yes

Step-by-step explanation:

The HL theorem basically says that two triangles are congruent if their corresponding hypotenuses and one leg are equal.

Here, the hypotenuse of both triangles are each marked with two dashes meaning they're equal. Similarly, QE and ET are both equal.

Therefore we can see that they can be proved congruent by the HL Theorem.

3 0
3 years ago
This rectangle has a perimeter of 25 units. What is the length of the longer side
Andre45 [30]

Answer:

The given rectangle has a length that is \displaystyle 10 units longer than its width. This can be expressed in the following equation, where

Step-by-step explanation:

7 0
3 years ago
Extra points!! A candle is 17 in tall after burning for 3 hours. After 5
PIT_PIT [208]

Answer:

1) h=-t+20  

2) 12 inches tall.

Step-by-step explanation:

1) The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

In this case:

y=h (The height of the candle in inches)

x=t (The time in hours)

Then, we can rewrite it:

h=mt+b

Based on the information provided in the exercise, the line passes through these points:

(3,17) and (5,15)

Then, we can find the slope of the line with the formula m=\frac{y_2-y_1}{x_2-x_1}:

 m=\frac{15-17}{5-3}=-1

Now we need to substitute the slope and one of the points into  h=mt+b  and then solve for "b":

17=(-1)(3)+b\\\\b=17+3\\\\b=20

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:

h=-t+20  

2) We must substitute t=8 into the linear equation  h=-t+20 in order to find the height of the candle after burning 8 hours:

 h=-(8)+20\\\\h=12  

4 0
3 years ago
NEED HELP! ASAP! 50 POINTS!
anastassius [24]

Answer:

D

You use algebra and solve it for y.

Step-by-step explanation:

4x-3y=18

3y=4x+18

y=4/3x +6

7 0
3 years ago
Read 2 more answers
Other questions:
  • If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and
    12·1 answer
  • Solve (round to two decimal places) <br><br> can someone please help me!
    7·1 answer
  • What does the slope of the equation represent?​
    9·1 answer
  • A student says the prime factors of 17 are 1 and 17. is the student correct?​
    15·1 answer
  • If a system including the quadratic equation representing the parabola and a linear equation has no solution, which linear equat
    11·2 answers
  • As part of a survey, 150 students were asked to name their favorite class. 50 points
    10·1 answer
  • HELPP i'll give brainliest for the CORRECT answer
    9·2 answers
  • Really need help! Brainliest to correct!
    9·1 answer
  • Work out the value of h in the equality below.<br> 0.0027 = 2.7 X 10
    14·1 answer
  • 20 hm = m
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!