What is the GCF of each polynomial?

with the salary cap in the NFL, it is said that on "any given Sunday" any team could beat any other team. If we assume every wee

prohojiy [21]

Answer:

$P(X \geq 1) = 1-P(X$

And we can find the individual probability like this:

$P(X=0) = 16C0 (0.5)^0 (1-0.5)^{16-0} = 0.0000153$

And replacing we got:

$P(X \geq 1) = 1-P(X$

Step-by-step explanation:

Assuming the following question: With the salary cap in the NFL, it is said that on any given Sunday any team could beat any other team. If we assume every week of the 16 week season a team has a 50% chance of winning, what is the probability that a team will have at least 1 win?

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=16, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X \geq 1)$

And using the complement rule we got:

$P(X \geq 1) = 1-P(X$

And we can find the individual probability like this:

$P(X=0) = 16C0 (0.5)^0 (1-0.5)^{16-0} = 0.0000153$

And replacing we got:

$P(X \geq 1) = 1-P(X$

7 0

3 years ago

At 10:57 A.M. A submarine was at a depth of feet. Its depth then changed at a rate of -8 feet per minute. What was its depth at

Tatiana [17]

Answer:

Step-by-step explanation:

First we need to get the total minutes used by the submarine from 10:57 A.M to 11:03 A.M. The total minutes used within the specified period of time is 6 minutes.

If its depth then changed at a rate of 8 feet per minute, the submarine depth after 6 minutes will be expressed as shown;

8 feet = 1minute

x feet = 6 minutes

cross multiply;

x * 1 = 8 * 6

x = 48 feet

Hence the submarine depth at 11.03AM is 48 feet

4 0

4 years ago

How would you describe the difference between the graphs of f(x) = x2 +4 and<br> G(y) = y2 +4 ?

ivann1987 [24]

Answer:

They're the exact same, except for the variables.

Step-by-step explanation:

Since the variable can be any letter, it is the exact same equation but with different letters as x. Although the equation of G(y) has a y instead of x, you know y is the x and g(y) is the y because the y inside of the parentheses tells us that y is the independent variable.

5 0

3 years ago

find equations of the lines that passe through the given point and are parallel to and perpendicular to the given line Y +4 =0 (

True [87]

Answer:

y = 3 and x = - 6

Step-by-step explanation:

y + 4 = 0 ( subtract 4 from both sides )

y = - 4

this is the equation of a horizontal line, parallel to the x- axis.

a parallel line will also be horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 6, 3 ) with y- coordinate 3 , then

y = 3 ← equation of parallel line

a line perpendicular to the given line will be a vertical line with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (- 6, 3 ) with x- coordinate - 6 , then

x = - 6 ← equation of perpendicular line

8 0

1 year ago

If Jake has 132 braincells, and Austin takes 131 away, how many does Jake have after getting three back and losing three.

posledela

Answer:

1

Step-by-step explanation:

132-131=1

1+3=4

4-3=1

poor jake.....

4 0

3 years ago

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