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sineoko [7]
3 years ago
10

5. What is orthonormal coordinate system?

Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:

Step-by-

An orthogonal coordinate system is a system of curvilinear coordinates in which each family of surfaces intersects the others at right angles. where is the Kronecker delta. where the latter is the Jacobian.

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Can somebody answer questions i) and j) please
frutty [35]

i)

Pythagorean's theorem: √50

j)

Pythagorean's theorem: √1/2

8 0
2 years ago
Please help me with 19 and 20 please
lesya [120]

9514 1404 393

Answer:

  19. B -- continued, but modest ...

Step-by-step explanation:

19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.

__

20. The percentage change from 2005 to 2010 is ...

  (60 -20)/20 × 100% = 2 × 100% = 200%

One might compute an average rate of change per year of ...

  200%/(5 yr) = 40%/yr

_____

<em>Additional comment</em>

As with any statement of percentage, you need to be very clear about what the base is.

Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)

3 0
2 years ago
You are studying the relationship between the history of early childhood trauma (categorized as trauma/no trauma) and weight in
jeka57 [31]

Answer:

You can decide to <u>reject</u> the Null Hypothesis at p < 0.05.

Step-by-step explanation:

In this case, the relationship between the history of early childhood trauma and weight in adulthood are being studied.

The categories of childhood trauma are:

Trauma and No trauma.

So, number of rows is, <em>r</em> = 2.

The categories of weight in adulthood are:

Low to normal, Overweight, and Obese

So, number of columns is, <em>c</em> = 3.

The distribution of the statistic \chi^{2} is chi-square with (<em>r </em>- 1)(<em>c </em>- 1) degrees of freedom, where <em>r</em> represents the number of rows in the two-way table and <em>c</em> represents the number of columns.

Compute the degrees of freedom as follows:

df = (r-1)(c-1)=(2-1) \times (3-1) = 2

It is provided that the calculated value of Chi-square test statistic is 18.26.

Compute the <em>p</em>-value of the test as follows:

p-value=P(\chi^{2}_{2}\geq 18.26)\\=0.000108\\\approx0.00011

Decision rule:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.

The significance level is, <em>α</em> = 0.05.

<em>p</em>-value = 0.00011 < <em>α</em> = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, the complete statement is:

"You can decide to <u>reject</u> the Null Hypothesis at p < 0.05."

4 0
3 years ago
11) Identify the range of this set of ordered pairs: <br><br> {(3,5), (2, 0), (-6, -1), (5, 1)}
Veronika [31]

6

Range is the difference of min and max y values

3 0
3 years ago
13. Describe the system by substitution:<br> y=x-7<br> 2x - y = 3
torisob [31]

Answer:

x = y + 7 \\  \\ x =  \frac{3 + y}{2}  \: or \: y = 2x - 3

Step-by-step explanation:

1. \: 2x = 3 + y \\ 2. \: x =  \frac{3 + y}{2}  \: or \: y = 2x - 3 \\  \\ 1. \: y + 7 = x \\ 2. \: x = y + 7

4 0
2 years ago
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