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Ira Lisetskai [31]
3 years ago
13

The diagram shows a sector of a circle of radius 4 cm. work out the length of the arc abc

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0
Need to know the angle for this I think?
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Ecologists sometimes find rather strange relationships in our environment. For example, do beavers benefit beetles? Researchers
Harman [31]

Answer:

The appropriate conclusion that answers the question stated in step one is:

  • The weak correlation value does not support the idea that beavers benefit beetles.
  • The largest number of beetle larvae was 55 and the largest number of stumps was 5.

Step-by-step explanation:

1) Select the appropriate practical question.

The appropriate practical question is:

"How does the number of beaver-caused stumps influences the number of beetle larvae clusters?"

2) Make a scatter plot.

The scatter plot is attached below.

From the scatter plot it can be seen that there exists a negative relationship between beaver stumps and beetle larvae. That is as the number of stumps increases the number of beetle larvae decreases.

The maximum number of beaver stumps found is 5.

3)

The best numerical summary for this problem are,

Correlation and regression line

The least square regression line for predicting the number of beetle larvae from the number of stumps is:

<em>y</em> = 31.594 - 2.8365 <em>x</em>.

Use the Excel function "=CORREL(array1,array2)" to compute the correlation.

The correlation value is, <em>r</em> = -0.219.

Both the correlation coefficient and regression line explains a negative relationship between the number of beetle larvae and the number of stumps.

Values amid 0 and 0.3 (0 and -0.3) implies a weak positive (negative) linear relationship amid the variables.

Thus, a correlation coefficient, r = -0.219, indicates a weak negative correlation between two variables.

Thus, the appropriate conclusion that answers the question stated in step one is:

  • The weak correlation value does not support the idea that beavers benefit beetles.
  • The largest number of beetle larvae was 55 and the largest number of stumps was 5.

3 0
3 years ago
Scott ran 11 kilometers in nine days. One mile is approximately 1.6 kilometers. About how many miles did Scott run?
natita [175]

Scott run 6.875 miles in nine days.

Step-by-step explanation:

Given,

Distance covered by Scott = 11 kilometer

1.6 kilometer = 1 mile

We will find the unit rate in terms of kilometer;

1 kilometer = \frac{1}{1.6}\ miles

11 kilometers = 11*unit rate of kilometer

11 kilometers = 11*\frac{1}{1.6}

11 kilometers = 6.875 miles

Scott run 6.875 miles in nine days.

Keywords: unit rate, multiplication

Learn more about multiplication at:

  • brainly.com/question/12041380
  • brainly.com/question/120752

#LearnwithBrainly

3 0
2 years ago
Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius. (Hint: A chord divides a circle into t
almond37 [142]
The answer to the problem "Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius" is A = (160/3 π + 16 √3) inches². Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.  
3 0
3 years ago
If x - 4 , x + 2 and 3x + 6 form a geometric sequence, find x.
Alex17521 [72]

Answer:

x =7

Step-by-step explanation:

Remark

  • A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 ....
  • Each term is multiplied by a common number and the term before it. In this case the common term is 3.
  • To get the next term after 9, you multiply 9 by 3.
  • To get the common ratio divide the second term by the first and then the third term by the second

Equation

(x + 2)/(x - 4) = (3x + 6)/ (x + 2)

Solution

I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.

(x + 2)/(x - 4) = 3(x + 2)/ (x + 2)   Notice the two binomials on the right cancel.

  • (x + 2)/(x - 4) = 3/1                       Cross multiply
  • (x + 2)*1 = 3*(x - 4)                       Remove the brackets on the right.
  • x + 2 = 3x - 12                             Add 12 on both sides.
  • x + 2 + 12 = 3x - 12 + 12              Simplify
  • x + 14 = 3x                                  Subtract x from both sides
  • 14 = 3x - x
  • 2x = 14                                        Divide by 2
  • x = 14/2
  • x = 7
7 0
2 years ago
What is the solution set for the molar concentration of
malfutka [58]

Answer: B

Step-by-step explanation:

I got it right on Edge

4 0
3 years ago
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