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: 6. 4.

A: Given: To find:  x

Q: 376 61)22936

A:

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: a) The n of points scored on field goals is given by 3f where f is the number of field goals made.…

A: Given, Field goals made by kicker = 24  Extra points earned by kicker = 43 No. of point = 3 * field…

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: Ax) = 2& + 2) -2 -1 1 2 y

A: Given, Exponential function f(x)=2(x+2)

Q: Cx-3) Gょ2)tG3)

A:

Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

Q: Prove the A.B = B.A.

A: To prove AB = BA.

Q: Haw:2 ExPress the Sumef the Vectars Aß and E ,if ACl,-), B (2,0)_, C(-1,)_ and D(-2,2).

A: Here is the solution

Q: 5x - 7 = -12

A: Given,           5x-7=-12

Q: .

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.

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A: The sample mean is,…

Q: 14 - Which one is a basis for the vector space R3 ? 1

A: We have to check

Q: Find the d. c. of from definition.

A: Introduction :

Q: 19) 2у %3-6

A:

Q: fiz)=-9.and f-7)=0 find value if a and 6 Carren fl-7)= -3

A:

Q: (1) and (.), (.) dz = Find the number of terms in where z = gu, v/ and u

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: ,3), calculate the value of a it the

A: We have to find the value .

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

A:

Q: b. Find A and B so that A = 27 = P(A, B). and B =

A:

Q: ר 57°

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

Q: 11 b. 12 a 11 If A = a | and B d. and AB = %3D Then The Values Of a and b are: A) a=1, b=6 B) a=2,…

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

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Q: Ni dr A +1 B 2 C) D E) None

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Q: State and Prove Pick’s Theorem.

A: Let P⊂ℝ2 be a polygon with all vertices on lattice points on the grid Z2. Let  I be the number of…

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.