1 answer:
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The angle is 75.52 degrees
If there is a vector with the form a i + b j, the cosine of the angle between the given vector and the positive direction of the x - axis is calculated as:
cos θ =
So, given the vector i+, the cosine of the angle between the vector and the x-axis is:
cos θ = 0.25
Therefore, the angle θ between the given vector and the positive direction of the x-axis is:
θ = cos-1(0.25) = 75.52
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Answer: Random
Step-by-step explanation:
- In statistics , a random sampling technique is a simple sampling technique in which researcher choose 'n' individuals from N population , such that the chances for each individual to get selected are equal as
.
Here , the company wants to administer a satisfaction survey to its current customers.
So , Population → All current customers
Using their customer database, the company randomly selects 80 customers , it means each customer had the same chance to get selected.
Hence, the type of sampling is used : Random sampling
Hence, the correct answer is "Random" .
1) Solving we get
2) Solving we get
3) Solving we get
Step-by-step explanation:
We need to solve the following expressions:
1)
We will solve this expression by factoring common terms:
Factoring 4 from 4a+4b and -c from -ac-bc
Taking common term
2)
We will solve this expression by factoring common terms:
Taking 8 as common term:
3)
We can solve the expression by breaking the middle term into 2
Keywords: Finding factors
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