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Fittoniya [83]
2 years ago
9

Question 2 A car company wants to get a sense how satisfied the owners of its new car model are with the quality of that car. It

randomly selects 250 numbers from the all the vehicle registration numbers that have been issued for this model and contacts the owners of that model. What can we say about this sampling plan
Mathematics
1 answer:
Vika [28.1K]2 years ago
3 0

This sampling plan represents a simple random sampling.

<h3>What is sampling?</h3>

Sampling implies analyzing a fraction of a population to determine general patterns in all the population. For example, you can interview 10 out of 20 students of a class to determine the sports they prefer.

<h3>What are the types of sampling?</h3>

There are many methods used to select the individuals that are studied, the most common methods include.

  • Simple random sampling.
  • Systematic sampling.
  • Clustering sampling.
  • Convenience sampling.

In the case of the car company, their plan represents a simple random sampling because they are just randomly selecting individuals from the whole population, which means all members of the population have the same probability to be chosen.

Learn more about sampling in: brainly.com/question/350477

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compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.
Nina [5.8K]

\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})

We have been given two vectors $\vec{a}$ and $\vec{b}$, we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of$\vec{b}$onto $\vec{a}$means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

#SPJ4

3 0
1 year ago
What is the value of x?<br><br> x=____
I am Lyosha [343]

Equilateral triangle means each angle equals 60 degrees.

60 = 7x - 3

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x = 9

8 0
3 years ago
What's the answer to this question?​
Wewaii [24]

Answer: 10

Step-by-step explanation:

Use Pythagorean theorem!

a^2+b^2=c^2

6^2+8^2=c^2

64+36=c^2

100=c^2

Take the square root of 100 and you get c=10

5 0
2 years ago
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