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erik [133]
2 years ago
5

Can you help me please ​

Mathematics
1 answer:
adoni [48]2 years ago
3 0

Answer:

The answers are:

  • 2u = <10,2>
  • -3u = <-18,-6>
  • u+v = <11,3>
  • 3u-4v = <-9,-5>

Step-by-step explanation:

Given vectors are:

u = <5,1>

v = <6,2>

The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs

Now,

2u = 2(5,1) = (10,2)

-3v = -3(6,2) = (-18,-6)

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)

And

3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)

Hence,

The answers are:

  • 2u = <10,2>
  • -3u = <-18,-6>
  • u+v = <11,3>
  • 3u-4v = <-9,-5>
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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

43.71428571

Step-by-step explanation:

First, convert 7 2/7 into an improper fraction: 51/7

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As a​ follow-up to a report on gas​ consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f
kondor19780726 [428]

Answer:

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 96-1 = 95

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

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Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

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The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0
3 years ago
1
Lina20 [59]

Answer:

\textbf{The slope of the parallel line is given by $ 2 $}\\

Step-by-step explanation:

\textup{The slope of any two parallel lines are equal and they only differ in their $y- intercepts$. }\\\textup{Given $y = 2x + 4 $}\\\textup{This is  comparable to $y = mx + c$, where $m$ is the slope of that line.}\\\textup{Therefore, the slope of the given line and any line parallel to it is $ 2$.}

7 0
2 years ago
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