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Pachacha [2.7K]
3 years ago
7

A random sample was taken to determine whether students from a certain classroom prefer to shop at Store A, Store B, or Store C.

There were six students in the sample. Five students preferred Store A, one student preferred Store B, and none of the students preferred Store C. If there are twenty-four total students in the classroom, about how many of them would you expect to prefer Store A?
Mathematics
2 answers:
Kryger [21]3 years ago
6 0
Twenty kids store a
yulyashka [42]3 years ago
4 0
20 students because currently I am doing the topic right now
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Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz, with an avera
hoa [83]

Answer:

The probability is  P(X <  12) =  0.99286

Step-by-step explanation:

From the question we are told that

        The population mean is \mu  =  12 \ oz

         The  standard deviation is  \sigma =  0.1 \ oz

          The sample mean is  \= x =  12.1 \ oz

          The sample size is  n = 6 packs

   

The standard error of the mean is mathematically represented as

              \sigma_{\= x } =  \frac{\sigma}{\sqrt{n} }

substituting values

            \sigma_{\= x } =  \frac{0.1}{\sqrt{6} }

            \sigma_{\= x } =  0.0408

Given that the can’s contents follow a Normal distribution then then  the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

         P(X <  12) =  P ( \frac{X - \mu }{ \sigma_{\= x }}  < \frac{\= x - \mu }{ \sigma_{\= x }}  )

Generally  \frac{X  - \mu }{ \sigma_{ \= x }}   =  Z (The  \ standardized \  value \ of  \ X )

So

         P(X <  12) =  P ( Z < \frac{\= x - \mu }{ \sigma_{\= x }}  )

substituting values

       P(X <  12) =  P ( Z < \frac{12.2 -12 }{0.0408}  )

      P(X <  12) =  P ( Z < 2.45   )

From the normal distribution table the value of P ( Z < 2.45   ) is  

           P (Z < 2.45)0.99286

=>   P(X <  12) =  0.99286

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3 years ago
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What is the value of this expression when a=20 5a
Darina [25.2K]

Answer:

100

Step-by-step explanation:


Given :     a=20


To Find :  the value of  expression 5a.

Solution :

We are given the value of 'a' i.e. a=20

Now to find the value of given expression  5a


⇒5a


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⇒5*20


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⇒5a = 100


Thus , The value of expression 5a when a = 20 is 100

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