8. The following data gives values for the fuel used to heat a house for a month, and the number of degree-days (which measures the extent to which the temperature was below 20°). Degree-Days 24 51 43 33 26 | 13| 4 0|0|16 12 30 32 52 30 6.3 10.9 8.9 7.5 | 5.3 4.0 | 1.7| 1.2 | 1.2 1.2 2.1 3.1 6.4 7.2| 1L.0 | 6.9 Fuel a) Draw a scatter plot. Does there visually appear to be a significant correlation? b) Determine the correlation coefficient? Is there a significant correlation? c) Determine the equation of the regression line. d) Predict the fuel use when a month has 20 degree-days. e) Suppose the next month has 20 degree-days, and the fuel use is 5.5. Explain why this answer is different from d).

Q: m³ ² m² 771 A) m10 26 B mx? 211 p2 D m² x²

A: m5 ●x2 ●m4 / m2 = m9 ● x2 / m2

Q: Can question d, e, and f be answered?

A: As per the question we have to find the example of the following graphs : Simple graph having 5…

Q: Use a) and b) to find A-1

A: Let's find inverse of A from given results a and b.

Q: Find LF D 14 12 3x +3 C E 7. 3.x

A: Both triangles are similar triangle, So, 3x + 33x = 1412 = 76 18x + 18 = 21x x = 6

Q: sec(1275°

A:

Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: 4) 45

A: The length of the side AB=32 units. An angle m∠A=45∘ The objective is to find the value of 'x'.

Q: Cx-3) Gょ2)tG3)

A:

Q: Solve for x. 11) 1 6 A) 4 C) 12 26 B) 10 D) 11 2x8

A: Given query is to find the value of x.

Q: A random sample of the closing stock prices in dollars for a company in a recent year is listed…

A: The sample mean is,…

Q: Find w, x, y, and z so that W X 4 3 8 -3 2 4 -4 |

A:

Q: ר 57°

A: Given query is to find the value of x in the triangle.

Q: Show that AB = O, even though A ≠ O and B ≠ O.

A:

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

A:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.