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3 years ago

6

in the refrigerator there are 680 ounces of orange juice and 410 ounces of mango juice. How many orange tango smoothies can be m

ade

1 answer:

Sophie [7]3 years ago

5 0

1090 ounces can be make

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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

2 years ago

A (not necessarily convex) 11-sided polygon can have at most how many right interior

EastWind [94]

Answer:

it is 3

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Whats the definition of PI

natta225 [31]

Answer:

PI is the the area around the circumfrance. It is equal to 3.14.

3 0

2 years ago

Read 2 more answers

a cake calls for 1 1/2 cups of butter. one tablespoon equals 1/16 cup. How many tablespoons of butter do you need to make the ca

sasho [114]

1/16 cup..........................1 tablespoon
1 1/2= 3/2 cups................x tablespoons

1/16*x=3/2
x= 3/2 : 1/16=3/2*16= 24 tablespoons he needs

4 0

3 years ago

Find the measure of an angle such that the difference between the measures of its supplement and four times its complement is 30

Katarina [22]

Answer:

70 degrees

Step-by-step explanation:

x = angle

180 - x = it's supplement

90 - x = it's compliment

(180 - x) - 4(90 - x) = 30

180 - x - 360 + 4x = 30

reducing

3x = 210

x = 70

7 0

2 years ago