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3 years ago

6

Four friends go out to dinner and decide to split the bill evenly. Each friend orders a soda for $2.00, an entree for $12.99 and

they all four share a desert for $7.99.How much is the total bill? How much does each friend owe?

1 answer:

S_A_V [24]3 years ago

6 0

Total bill-$67.95
each friends owes about $16.99

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According to the Central Limit Theorem, which statements(s) are TRUE. There may be more than 1 correct answer. A. An increase in

Liono4ka [1.6K]

Answer:

Options A, B and C are correct.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

From the Central Limit Theorem, we have that:

The larger the sample size, the closer to the normal distribution the distribution of sample means is.

No matter the sample size, the mean is the same.

The larger the sample size, the smaller the standard deviation.

The smaller the sample size, the larger the standard deviation.

So the correct options are:

A, B, C

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2 years ago

Find the Difference.<br> 27,202 -3,489-

Valentin [98]

Answer:

23,713

Step-by-step explanation:

27,202 - 3489 = 23,713.

I'm not sure if you meant to put a minus sign at the end, or you just meant to put an equal sign?

Line up the numbers with the largest number on top. Then subtract from the number above it by the number below it. Whenever you need to, you can borrow from the next place value. Ask any questions you need to.

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3 years ago

Read 2 more answers

How to factorise<br><br><img src="https://tex.z-dn.net/?f=%20%7B8x%7D%5E%7B2%7D%20%20-%20%20xy%20-%20%7B7y%7D%5E%7B2%7D%20" id="

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(8x+7y)(x-y) is the answer.

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3 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

<h3 /><h3>Step 1</h3>

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

<h3>Step 2</h3>

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

<h3>Step 3</h3>

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

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2 years ago

I need the answer as fast as i can get it!

blondinia [14]

Answer:

The answer should be choice D.

HOPE THIS HELPS! :)

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3 years ago