All categories

3 years ago

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

Mathematics

1 answer:

devlian [24]3 years ago

3 0

2. (-6,1) (4,0)
√(1)²+(-6-4)²
√1+100
√1+100
The distance is about 10
4. The distance is 6
6. (-2,0) (3,-5)
√(-5-0)²+(3+2)
√25+25
√50
The distance is aproximately 7.1

You might be interested in

<img src="https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7BE%7D%7B%20%5Csqrt%7BR%20%7B%7D%5E%7B2%7D%20%2B%20W%20%7B%7D%5E%7B2%7D%20L%

AleksandrR [38]

Answer:

R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Step-by-step explanation:

Squaring both sides of equation:

I^2 = (ER)^2/(R^2 + (WL)^2)

<=>(ER)^2 = (I^2)*(R^2 + (WL)^2)

<=>(ER)^2 - (IR)^2 = (IWL)^2

<=> R^2(E^2 - I^2) = (IWL)^2

<=> R^2 = (IWL)^2/(E^2 - I^2)

<=> R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Hope this helps!

7 0

2 years ago

Solve the equation for the indicated variable.<br>1. y= 3/8 (x+4) for x

madam [21]

Answer:

x=8y/3-4

Step-by-step explanation:

What we have to do to solve for X into re arrange the equation so that X is by itself on one side of the equation. To start we will divide both sides by 3/8 to move it away from the X side and we get

8y/3=x+4 then we will subtract both sides by 4 to get x all by itself

8y/3-4=x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

6 0

3 years ago

Read 2 more answers

Jack is planning to attend a public university after he graduates from high school in 2 years. He is devising a plan to save mon

Nimfa-mama [501]

Option b) 566.25
just subtract the amount his parents are paying from the total
and divide the remainder by the amount of months (24)

6 0

2 years ago

Read 2 more answers

12x>9 (2x-3)-15 solve for x and show steps please.

Verdich [7]

12x > 9(2x-3)-15

distribute the 9

12x > 18x-27 -15

combine like terms on the right side

12x > 18x-42

subtract 18x from both sides

-6x > -42

divide both sides by -6

x = -42 / -6 = 7

x >7

4 0

3 years ago

Read 2 more answers

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

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

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

3 0

2 years ago