Let v= (5, -2) and w= (-10, 4). Which of the following is true?

Mathematics

2 answers:

trasher [3.6K]3 years ago

5 0

Answer:

I am not sure exactly what you mean but here it goes;

(5, -2) (-10, 4)

we will use the following formula to determine the slope;

y2 - y1/x1-x2

4 - (-2 / 5 - (-10 = -2/-5 = 2.5

The slope would be 2.5, hope that answers it for ya.

soldier1979 [14.2K]3 years ago

3 0

Answer:

On Apex:

Correct Answers are- The y-component of w is 4; w=-2v; and v+w=-58.

Not Correct- v and w are perpendicular

Step-by-step explanation:

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levacccp [35]

Answer:

a) $P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

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".

Part a

Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$