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3 years ago

1 Which relation is not a function?

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

6 0

3 because the x value has been repeated

gizmo_the_mogwai [7]3 years ago

3 0

3) {(−1,6),(1,3),(2,5),(1,7)}

Step-by-step explanation:

functions have to pass the vertical line test to be called a function

if they don't pass they are not a function

this means that no x values can repeat

In option 1

none of the x values repeat so that means it is a function

1, 2, 3, 4

in option 2

none of the x values repeat so that means it is a function

4,2,-3,3

in option 3

one of the x values repeats so that means it is not a function

-1,1,2,1  the ones repeat

in option 4

none of the x values repeat so that means it is a function

-1,0,5,2

so that means that option 3 is not a function 

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Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

$P(x \ge 60) \approx P(z > 1.34)$