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3 years ago

12

a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Fi

nd the number of sodas and the number of hot dogs sold.

1 answer:

maxonik [38]3 years ago

4 0

Answer:

34 hotdogs were sold

68 sodas sold

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3 years ago

A recent survey found that 70% of all adults over 50 wear

lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios 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.

In this problem we have that:

$n = 10, p = 0.7$

What is the probability that at least six wear glasses?

$P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497$

There is an 84.97% probability that at least six wear glasses.

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3 years ago

Are the answers correct or am I missing some?

AlekseyPX

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3 years ago