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2 years ago

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A person can pay $8 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum

number of visits a member of the science museum can for a total cost of 44$

1 answer:

laila [671]2 years ago

5 0

The maximum number of visits for a member of science museum is 36.

Step-by-step explanation:

Given,

Membership fee = $8

Per visit fee = $1

Total cost = $44

Let,

x be the number of visits

y be the total cost

Total cost = per visit fee*number of visits + membership fee

y = x+8

$44=x+8\\44-8=x\\36=x\\x=36$

The maximum number of visits for a member of science museum is 36.

Keywords: variable, addition

Learn more about variables at:

#LearnwithBrainly

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

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And using the complement rule we got:

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Answer:

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Step-by-step explanation:

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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.

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This means that $p = 0.5$

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$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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85.56% probability that less than 6 of them have a high school diploma

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