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3 years ago

Identify the ordered pair that represents the vector from A(-8,-1) to B(-5,3) and the magnitude of vector AB.

1 answer:

wel3 years ago

8 0

In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula: v(a→b)=(b1−a1,b2−a2) In this case we have : v(a→b)=(−5−(−8),3−(−1)) v(a→b)=(3,4)

To find the magnitude we use the formula: ||v|= √(v1^2)+(v1^2)

So:
||v|= √(32)+(42) ||v|= √9+16 ||v|= √25 ||v|= 5

You might be interested in

For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean

ki77a [65]

Answer:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) 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".

2) Solution to the problem

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

$X \sim N(\mu=?,\sigma=?)$

We are interested on this probability

$P(X>X+3\mu)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

And we can find the following probablity:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0

3 years ago

Please help me!!!! Solve for x 5^x = 5^3 x 5^8

AnnZ [28]

Answer:

x=11

Step-by-step explanation:

trust i guess

3 0

2 years ago

Read 2 more answers

Eight less then 11 times a number is 47

Studentka2010 [4]

Answer: X = 5

Step-by-step explanation:

The correct formula to solve the problem is:

11x - 8 = 47

First, add 8 to each side.

11x = 55

Solve it by dividing both sides by 11:

X = 5

8 0

3 years ago

The length of the base of a triangle is twice its height. If the area of the triangle is 64 square kilometers, find the height.

frez [133]

Area of a triangle = base x height / 2
64 = base x height / 2
(multiply 2 on both sides)
128 = base x height
then if base= 16 and height = 8 then 16 x 8 = 128
thus the base is 16 which is twice the height:8

6 0

3 years ago

What is (250*645)+345(879*521)-54(219*5674)

Alona [7]

Answer: -623,397

Step-by-step explanation:

3 0

3 years ago