A new drug was developed to replace the existing molecule that cause severe side effects if frequently used. We screen number of patients and check four symptoms and prepare the following table that numbers indicate the total patient counts who used old and new medicine. Headache Dizziness Fewer Old drug 100 50 60 New drug 70 20 40 Using the data above, evaluate with significance test if new drug molecule has less side effects. (The significance level is 0.05)

Q: 4. x² 2x 5. (125x²y¹) 6. (16a 1/4

A: (4)  K=x22x-5ax×ay=ax+y

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: -7 5 1 9 0 -2 -1 2 -1 4

A:

Q: 6 2/5 + 1 3/10

A:

Q: 3. 8-18 2エ-3 %3D

A: Given, 814-x = 92x-3  We will find the value of x

Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: 2 2/3 X 5/8

A: Given that  22/3*5/8

Q: 18 2h 6h

A: Find the value of h  For which two line segments are equal

Q: 10 X 12 X-3 +4=0

A: Here we have to find the value of x.

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

A:

Q: Factor the binomial. 147z° – 108n 8. 10

A: Here we factor the binomial147z8-108n10

Q: factors of 20 that add up to 9

A:

Q: 4/2-6/8

A:

Q: 6 2/5 ÷ 4

A: Given query is to solve the expression.

Q: Expand (a −b)4

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 5 1/6 - 2 1/3

A: Given that 5 1/6 - 2 1/3

Q: 9 5/12 - 3 2/3 =

A: Case 1: Let the given number be in mixed fraction notation.

Q: 4/10 divided 1/2

A: Answer

Q: 10. 15gr, 20s

A: Given

Q: 42 -13

A:

Q: expansion of (1-2m)“

A:

Q: 57-24

A: Given that: 57-24

Q: 5 1/2-9 3/8

A: Simplify by first using the form to convert it into the form of fraction and then take the LCM and…

Q: 2.8x0.7

A: Multiplication: Multiplication is represented by the sign Cross("×"), Asterisk ("*") or Dot (".").…

Q: 12.2: Using Diagrams to Represent Division 2. Use long division to find 77.4 +5.

A: Given, 77.45  Using long division and diagram to represent , we have to find 77.45

Q: (25 dx +3x

A:

Q: (1– 3csc(

A:

Q: 29 Using the combination formula expand (5+x)

A:

Q: Find A.

A: Given

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.