How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures
1 answer:
The correlation coefficient tells that every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Using technology
The mean= x bar = 26.4667
The mean = y bar= 0.86
The standard deviation= Sx= 0.2251
The standard Deviation Sy= 0.0438
The Correlation Coefficient= r = -0.8111
The slope= b= r* Sy/Sx= -0.15789
The intercept is 5.0389
(d)<u><em> Every increase </em></u>in sea <u><em>surface temperature</em></u> of one degree Celsius will result in an average of <em><u>0.1578 fewer</u></em> centimeters of <em><u>coral growth</u></em> per year.
Here the independent variable is X the sea surface temperature and dependent variable is the Y coral growth.
As the temperature decreases which is along x- axis the growth increases along y axis.
From the given options the option d is the best answer according to the question given.
The same values are calculated using different technology .
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Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S =
(a + l), where
- a is the first term
- l is the last term
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = (26 + 150)
∴ 2,816 = (176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Answer: The correct option is (D) SET 4.
Step-by-step explanation: We are to select the correct set of side lengths that will form a right-angled triangle.
To form a right-angled triangle, we must have the following relation:
<em>Perpendicular² + Base² = Hypotenuse².</em>
<em>Hypotenuse is the length of the largest side; perpendicular and base are the two legs of the triangle.</em>
SET 1 : 14 cm, 5 cm, 6 cm.
We have
Therefore,
<em>Perpendicular² + Base² ≠ Hypotenuse².</em>
So, this set will not form a right-angled triangle.
SET 2 : 8 in., 12 in., 20 in.
We have
Therefore,
<em>Perpendicular² + Base² ≠ Hypotenuse².</em>
So, this set will not form a right-angled triangle.
SET 3 : 10 mm, 20 mm, 30 mm.
We have
Therefore,
<em>Perpendicular² + Base² ≠ Hypotenuse².</em>
So, this set will not form a right-angled triangle.
SET 4 : 12 ft, 16 ft, 20 ft.
We have
Therefore,
<em>Perpendicular² + Base² = Hypotenuse².</em>
So, this set will form a right-angled triangle.
Thus, the SET 4 will form a right-angles triangle.
Option (D) is correct.