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3 years ago

Which expression is equivalent to 7(p+2n)+n?

1 answer:

3 0

We actually need the choices but oh well, we can simpify and hopefuly it is one of the choices

remember the distributive property
a(b+c)=ab+ac
so

7(p+2n)+n
distribute first
7(p)+7(2n)+n
7p+14n+n
7p+15n is an equivilent expression

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At NC State University, 16.4% of the undergraduate classes have more than 50 students. If a random sample of 200 undergraduate c

Lena [83]

Answer:

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

$np=200*0.164=32.8 \geq 10$

$n(1-p)=200*(1-0.164)=167.2 \geq 10$

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

The mean is given by:

$p =0.164$

And the deviation is given by:

$\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262$

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

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".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=200, p=0.164)$

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:

$nCx=\frac{n!}{(n-x)! x!}$

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

$np=200*0.164=32.8 \geq 10$

$n(1-p)=200*(1-0.164)=167.2 \geq 10$

The population proportion have the following distribution

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

The mean is given by:

$p =0.164$

And the deviation is given by:

$\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262$

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

6 0

3 years ago

Hey can you please help me posted picture of question

ElenaW [278]

A is your answer my friend

4 0

3 years ago

A lawn sprinkler spins in a circle. The sprinkler covers a radius of 12

vaieri [72.5K]

Answer:

452.39 feet

Step-by-step explanation:

the area of a circle is A=r^2π

the radius is 12 feet and lets us 3.14 for pi

A=12^2(3.14)

A=144(3.14)

A=452.39

6 0

3 years ago

Read 2 more answers

Need the answers please

faltersainse [42]

Answer:

sqrt(7)

1/2

Step-by-step explanation:

4sqrt(2) * sqrt(2) = 4 * sqrt(4) = 4 * 2 = 8

3sqrt(7) - 2sqrt(7) = sqrt(7)

sqrt(7)/(2sqrt(7)) = 1/2

2sqrt(5) * 2sqrt(5) = 2 * 2 * sqrt(25) = 4 * 5 = 20

4 0

3 years ago

30 x 890765 whatever that equals add 6 then x it by 2

Bond [772]

53,445,912. This answer is correct, as I did it by calculator. Good luck!

3 0

3 years ago