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3 years ago

Can someone try to explain this? I'm super confused. my teacher is no help, he won't answer any of my emails :(

Mathematics

2 answers:

Lady bird [3.3K]3 years ago

7 0

Answer:

Slope is negative 1

Step-by-step explanation:

You can either find it in 2 ways. (1) pick 2 coordinates and find the slope by solving for y1-y2 divided by x1-x2. way number 2 is (2) by counting the spaces. slope is rise over run, so we can see the the coordinate went down 1, which is negative one. and it went 1 space to the right. so by setting up the equation, it would be -1/1, which equals negative 1. message me if u have a problem, kinda hard to explain it in words.

lukranit [14]3 years ago

5 0

Answer:

$m=-1$

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in 2 coordinates into the slope formula to find slope <em>m</em>:

$m=\frac{0-(-2)}{-2-0}$

$m=\frac{0+2}{-2}$

$m=\frac{2}{-2}$

$m=-1$

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Answer:

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Step-by-step explanation:

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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

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