Mathematics, 19.09.2019 11:30 bhopainting

If eli is guessing when he chooses a super bowl winner (that is, he mentally flips a fair coin to decide which team he chooses as the winner), what is the probability that eli chooses 7 winners in a row?

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Answer from: youugly0123

The probability that Eli chooses winners in a row is $\boxed{\bf 0.0078}$ .

Further explanation:

Given:

Eli flips a fair coin to decide which team chooses as a winner.

Concept used:

The probability P(A) of any event can be calculated as follows:

$\boxed{P(A)=\dfrac{n(A)}{n(A)}}$ …… (1)

Here, n(A) is the total number of elements in event and n(S) is the number of element in sample space of an experiment.

Calculation:

The sample space is the total possible outcomes in an experiment.

Consider n(S) as the number of element in sample space .

The possible outcomes in sample space are win and lose.

The sample space is as follows:

$\boxed{S=\{H,T\}}$

Therefore, the number of element in sample space is as follows:

$\boxed{n(S)=2}$

Consider as the event that Eli choosing the winner team, n(A) as the number of favorable outcomes in event and P(A) as the probability of event .

The winner is chooses if Eli flips the coin. There is chance that Eli chooses winner either head comes or tail comes.

Therefore, there is only one favorable outcomes to choose the winning team.

The number of favorable outcomes in an event can be calculated as follows:

$\boxed{n(A)=1}$

Substitute for n(A) and for n(S) in the equation (1) to obtain the probability P(A) .

$\boxed{P(A)=\dfrac{1}{2}}$

The probability that Eli chooses winner in a row can be calculated as follows:

$\begin{aligned}P(A)&=\left(\dfrac{1}{2}\cdot \dfrac{1}{2}\cdot \dfrac{1}{2}\cdot \dfrac{1}{2}\cdot \dfrac{1}{2}\cdot \dfrac{1}{2}\cdot \dfrac{1}{2}\right)\\&=\dfrac{1}{2^{7}}\\&=\dfrac{1}{128}\\&=0.0078\end{aligned}$

Thus, the probability that Eli chooses winner in a row is $\boxed{\bf 0.0078}$ .

Learn more:

1. Learn more about problem on circle

2. Learn more about problem on graph

Answer details:

Grade: Senior school

Subject: Mathematics

Chapter: Probability

Keywords: Probability, Eli, favorable outcomes, event, experiment, winner, sample space, fair coin, number of element, 7 winners, in a row, basic probability theorem.

Answer from: Quest

answer: i literally just answered this question but they want me to do it again

step-by-step explanation:

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

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