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4 years ago

Find the value of z such that

SAT

1 answer:

Reika [66]4 years ago

5 0

Answer:

z = 1.00

Explanation:

Given:

Probability of z value = 0.6826

By using standard normal table for z value.

P(-z < Z < z) = 0.6826

P(Z < z) - P(Z < -z) = 0.6826

We know that

P(Z < z) + P(Z < -z) = 1

So,

2P(Z < z) - 1 = 0.6826

2P(Z < z) = 1 + 0.6826

2P(Z < z) = 1.6826

P(Z < z) = 1.6826 / 2

P(Z < z) = 0.8413

So,

P(Z < 1.00) = 0.8413

z = 1.00

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In a study of helicopter usage and patient survival, among the 56,074 patients transported by helicopter, 235 of them

xxMikexx [17]

Using the hypergeometric distribution, it is found that the probability is 0.845 = 84.5%.

--------------------

The patients are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

The parameters are:

x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.

Combination formula:

is the number of different combinations of x objects from a set of n elements, given as:

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

--------------------

56074 patients, thus $N = 56074$
Sample of 40, thus, $n = 40$
235 left against medical advice, thus, $k = 235$ .

The probability that none left against medical advice is P(X = 0), so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,56074,40,235) = \frac{C_{235,0}*C_{55839,40}}{C_{56074,40}} = 0.845$

The probability is 0.845 = 84.5%.

A similar problem is given at brainly.com/question/24008577

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2 years ago

Is this statement true or false? Samuel Gompers had the same goals for the labor movement as the socialists and anarchists did.

igor_vitrenko [27]

Answer:

Explanation:

sana makatulong♥️

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3 years ago

Point (20, 5) is on the graph of inverse variation. Which of the following ordered pair is on the graph?.

Bess [88]

The point $(10, 10)$ is on the graph.

<h3>Procedure - Inverse variation</h3><h3 /><h3>Inverse variation model</h3><h3 />

An <em>inverse</em> variation is represented by the following formula:

$y = \frac{k}{x}$ (1)

Where:

$x$ - Independent variable.
$y$ - Dependent variable.
$k$ - Proportionality constant.

We can eliminate the proportionality constant by creating the following relationship:

$x_{1}\cdot y_{1} = x_{2}\cdot y_{2}$ (2)

<h3>Determination of another point</h3>

If we know that $x_{1} = 20$ , $y_{1} = 5$ and $x_{2} = 10$ , then the remaining variable is:

$y_{2} = \left(\frac{x_{1}}{x_{2}} \right)\cdot y_{1}$

$y_{2} = \left(\frac{20}{10} \right)\cdot (5)$

$y_{2} = 10$

The point $(10, 10)$ is on the graph. (Correct choice: C) $\blacksquare$

To learn more on inverse variations, we kindly invite to check this verified question: brainly.com/question/4838941

<h3>Remark</h3>

The statement is incomplete. Complete form is described below:

<em>Point </em> $(20, 5)$ <em> is on the graph of an inverse variation. Which of the following ordered pair is on the graph? </em><em>A.</em><em> </em> $(4,1)$ <em>, </em><em>B.</em><em> </em> $(2, 25)$ <em>, </em><em>C.</em><em> </em> $(10, 10)$ <em>, </em><em>D.</em><em> </em> $(16, 4)$ <em>.</em>

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2 years ago

Why is astronomy considered the first science

maksim [4K]

Answer:

Astronomy is one of the oldest sciences

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3 years ago

The number of work stoppages in the automobile industry for selected monthes are 6,0,10,14,8,0 .What is the median number and wh

Ratling [72]

Answer: median is 7, the type of mode is unimodal

Explanation:

median is 7 because there are 6 numbers. Based on the rules if the number of scores is even then get the two middle most numbers (after arranging the scores in increasing order) then get the average so 6 + 8 is 14 and the average is 7.

the mode is most occured number. So the most occured number is 0. And since we only have 1 type of number occured more than one time so that is unimodal.

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3 years ago