Suppose that we randomly choose 100 Skittles before they are packaged and pick 27 red candies, 19 orange candies, 26 yellow candies, 17 green candies, and 11 purple candies. For the purposes of this exercise, assume that the 100 Skittles chosen are representative of all Skittles produced. Does this sample data provide convincing evidence that the proportion of Skittles that are yellow is more than 0.2? Test the appropriate hypotheses using a .05 significance level, round your test statistic to the appropriate number of decimal places to use the correct chart, and round everything else to 4 decimal places. Follow the seven step process we learned in Algorithm 10.9.

Q: 12. 4 2 O -2 -4 y 2 4 6 XA

A: The graph of the function is given.The aim is to find the function for the given graph.

Q: (3) dx x 1+√x

A:

Q: 4. 1+x+x* dx 1+x2 34.

A:

Q: x - 3 2- y 2. 7- 2x 4. 3 2.

A:

Q: 12. Stan³0 sec²0d0

A: Integration is done by "u" substitution method

Q: 9. x - 6 ( if x = 6) 10. 7 + x ( if x = 6) 11. 3x - 9 ( if x = 6) 12. 63/x ( if x = 6) 13. 5 + 5x +…

A: 9. x-6  when x=6  So, put x=6 in x-6.  x-6= 6-6=0    10. 7 + x ( if x = 6)  Put x=6 in 7+x we get,…

Q: 5-x-3 > 3 4.

A:

Q: Find .6 7 LT." 3 4 xy dydx.

A: Given that the integral ∫36∫47xy dydx. Find the value of given integral.

Q: 3 125 3) = 5x 6. - 3 4,

A:

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: 4. w/- 4. 2.

A: Given:

Q: 2y = 0, Xo = 0

A:

Q: 6. X-4 >2 X+3

A:

Q: k2. 7k + 10 k2. 3k k2 + Sk + 15 k2 - 4k - 12

A: Given; 1. [(K2+7k+10).(k2+3k)]/[(k2+8k+15)(k2-4k-12)] 2. 7/(x-2) - 5/(2-x).

Q: -4 X+

A:

Q: L-1 (s+2)²+3 2.

A:

Q: 4 2- -4 -2 -2 4

A:

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y>-x2-22x-y ≥-3

Q: 4 y = -x-8 8. (14,-16)

A: Given equation is y = (4/7)x - 8

Q: 2. 7ー dx - 2. 7-X 3

A:

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

A:

Q: 9. 6 < 2x + 2

A:

Q: 11x + 1 W

A:

Q: 5. Solve. 3 1 8. * – 25 x+5 X-5

A:

Q: 5) 3x +5 30

A: Topic = Inequalities

Q: For the following equation, determine the values of the missing entries. Reduce all fractions to…

A: given x=y2 complete the table as follows

Q: . 4x2 – 16 0 (-0, 2], [2, 0) -

A:

Q: 5. E1009 i-2n – 2 E7000 i¬n

A: ∑n=11009i-2n=∑n=11009-1-n          =∑n=11008-1-n+-1-1009          =-1+1-1+1...+1+-1-1009…

Q: 10.1-2 q 6

A: Image is attached with detailed solution.

Q: 4. 4 x+3 x-3 x2 -9

A:

Q: 4(2w - 5) = 5w + 4 %3D

A: Here we have,  4(2w-5)=5w+4 ................................ (1)

Q: 7.) -3- %3D 10 2'

A: .

Q: 2- -4 -2 2 4 6. 8 10 12 -2- -4

A:

Q: 1 (-7)2 dx r(x-7)2 6.

A: Given,  ∫1xx-72dx

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.