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3 years ago

Find the unit rate: Carmen received a paycheck of $350 for 49 hours of work.

Mathematics

1 answer:

Nata [24]3 years ago

5 0

Answer:

Carmen received $7.14 for each hour she worked.

Step-by-step explanation:

$350 for 49 hours of work

Write an equation, with hours as the variable

$350 = 49h

Divide both sides of the equation by 49 to find the unit rate

h = $7.14

Carmen received $7.14 for each hour she worked.

Hope this helps :)

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3 years ago

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g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

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Step-by-step explanation:

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

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

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Answer:

Step-by-step explanation:

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