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4 years ago

How to determine if 4 or more points are coplanar, and if they are not, why is that?

1 answer:

5 0

If 4 points r coplanar we have many technic to find but the shortcut is to lock at the points
Example : Let 4 points A(1,1) , B(-1,1) ,C(-1,-1), D(1,-1)
Here, A is in 1st co-ordinate , B is in 2nd co-ordinate , C is in 3rd co-ordinate and D is in 4th so if the 4 points had same - or + number for x and y as in P(x,y) then they r coplanar

You might be interested in

Convert 4:5 as a percentage, Fraction and decimal.

lawyer [7]

Answer:

4/5___0.8___80%

4:5 to 4/5 <--- fraction

100 divided by 5 equals 20 so 20 x 4 = 80% <--- percentage

80% goes to 0.8 <--- decimal

hope i helped

4 0

4 years ago

Read 2 more answers

(1 point) The shelf life of a battery produced by one major company is known to be normally distributed with a mean life of 3 ye

NeX [460]

Answer:

$z=-0.994$

And if we solve for a we got

$a=3 -0.994*0.4=2.6024$

So the value of height that separates the bottom 16% of data from the top 84% is 2.6024 years

The answer rounded would be 2.6 years approximately

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the shelf life of a population, and for this case we know the distribution for X is given by:

$X \sim N(3,0.4)$

Where $\mu=3$ and $\sigma=0.4$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.84$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.994$

And if we solve for a we got

$a=3 -0.994*0.4=2.6024$

So the value of height that separates the bottom 16% of data from the top 84% is 2.6024 years

The answer rounded would be 2.6 years approximately

8 0

3 years ago

Can some one help me get these answers right

Aleks04 [339]

Sorry I don’t see the question how am supposed to answer it

8 0

2 years ago

Help on math plz <br>15 and 16 explain

Anit [1.1K]

For 15:
equate both left-hand sides and you will get a quadratic ..

Solve it for x, you get:

x=4, x=-1.75

B

For 16:
the vertex would be (h,k) = (2,4)

A