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erik [133]
3 years ago
5

Can you help me please ​

Mathematics
1 answer:
adoni [48]3 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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WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
I went to the grocery store with $50. I purchased two gallons of milk for $3 each, a loaf of bread for $2, and three dozen of eg
Fofino [41]

Answer:

The answer to your question is $36

Step-by-step explanation:

Data

Total money = $50

2 gallons of milk = $3

a loaf of bread = $2

a dozen of eggs = $3

Write an equation to solve this problem

Cost of 2 gallons of milk + a loaf of bread + 3 dozens of eggs + remainder = total cost

Substitution

                          $3 + $2 + 3($3) + remainder = $50

Simplification

                          3 +  2 + 9 + remainder = 50

                          remainder = 50 - 3 - 2 - 9

result

                         remainder = $36                      

4 0
3 years ago
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Mandarinka [93]

Answer:

The answer is

<h2>15v - 17</h2>

Step-by-step explanation:

3+ – 5(4+ – 3v) can be written as

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Expand and simplify

That's

3 - 20 + 15v

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Hope this helps you

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