At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960. Which equa
2 answers:
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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.
Answer:
a. distance of the surveyor to the base of the building = 2051.90 ft
b. height of the building = 1384 ft
c. Angle of elevation from the surveyor to the top of the antenna = 38.31°
d. Height of antenna = 237.08 ft
Step-by-step explanation:
The picture above is a illustration of the described event.
a = the height of the flag
b = the height of the building
c = distance of the surveyor from the base of the building
the angle of elevation from the position of the surveyor on the ground to the top of the building = 34°
distance from her position to the top of the building = 2475 ft
distance from her position to the top of the flag = 2615 ft
(a) How far away from the base of the building is the surveyor located?
using the SOHCAHTOA principle
cos 34° = c/2475
c = 0.8290375726 × 2475
c = 2051.8679921
c = 2051.90 ft
(b) How tall is the building
The height of the building = b
sin 34° = opposite /hypotenuse
0.5591929035 = b/2475
b = 0.5591929035 × 2475
b = 1384.0024361
b = 1384.00 ft
(c) What is the angle of elevation from the surveyor to the top of the antenna?
let the angle = ∅
cos ∅ = adjacent/hypotenuse
cos ∅ = 2051.90/2615
cos ∅ = 0.784665392
∅ = cos-1 0.784665392
∅ = 38.310258303
∅ = 38.31°
(d) How tall is the antenna?
height of the antenna = a
sin 38.31° = opposite/hypotenuse
sin 38.31° = (a + b)/2615
sin 38.31° × 2615 = (a + b)
(a + b) = 0.6199159917 × 2615
(a + b) = 1621.0803182
(a + b) = 1621. 08 ft
Height of antenna = 1621. 08 - 1384.00 = 237.08031822 ft
Height of antenna = 237.08 ft
Answer:
Step-by-step explanation:
Couldn't really read the tables so i'd double check to make sure i'm correct
