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2 years ago

A triangle has vertices at L(-7,0), M(2,1), and N(-3,5). Verify that is it a right isosceles triangle.

Mathematics

1 answer:

liq [111]2 years ago

4 0

I think it would be 51.45. Sorry if its incorrect I really tried!

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g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose

Nuetrik [128]

Answer:

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

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:

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

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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:

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

Solution to the problem

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

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:

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

3 0

3 years ago

The base of a rectangular prism has a length of 4 centimeters and has a width of 2 centimeters.The height of the prism is 3 cent

coldgirl [10]

Answer:
24
Explanation:
V = whl (width times height times length)
V = (2)(3)(4)
V = (6)(4)
V = 24

6 0

2 years ago

A student ticket for a high school basketball game costs $3.00. A monthly game pass costs $20.00. Which inequality represents th

Nana76 [90]

3x greater than or equal to 20
3x = 20
X= 7 games for the pass to be better
3(7)=21

4 0

2 years ago

Read 2 more answers

HELP ME ASAP pretty please someone help me with 9 A and B (For b show work please) THANK YOU

Ilia_Sergeevich [38]

160 x 4 =? ~a~
~b~ solve the equation i gave you

6 0

3 years ago

What is the solution to the equation? Please explain!

Alexus [3.1K]

J: there is no solution

4 0

2 years ago