The next 10 questions refer to the following scenario. The average student studies eight hours for a statistics exam and receives a grade of u = 84. In a sample of 25 students who study twelve hours for a statistics exam you find that the average grade is X = 87. You want to test the hypothesis that studying twelve hours statistically significantly increases academic performance.

Q: Find 1!, 2!, 4!, and 6!.

A: Factorial:

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: 1 a,b,c,d

A: Given below the detailed solution

Q: Vab

A:

Q: State whether each branch is either increasing, decreasing, or constant. Branch 1 Branch 2 Branch 3…

A: Function is said to be increasing if on increasing input value of varaible x, corresponding…

Q: 17. Using one of the methods from class, determine the GCF and the LCM of 72 and 120.

A: GCF stands for greatest common factor and LCM stands for least common multiple. GCF of two numbers…

Q: 9:4=_:32

A:

Q: 30 25 |42 35 40 48 5:6 O 8:9 O 7:10

A: We are given the following figure. Notice 2530=4048=3542=56.

Q: 15 17 9.

A: We have to find b

Q: 6. arctan 1 3

A:

Q: 20) 14 X 4

A:

Q: Are the following fractions equiva 5x 20x 5. 7y 28y

A: 5x7y  &  20x28y

Q: ニ

A: To prove that,       x1+x=∑n=0∞-1nxn+1 if -1<x<1

Q: B 4 C 2 A 3. 21 A.

A:

Q: 6 in 14 in 26 in 15 in 3.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: C. 11 10

A:

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: Evaluate o(7000).

A:

Q: 5) 45 6. y

A: We have to find x and y

Q: 3 4 5 or more 13 15 29 18 19 6.

A:

Q: In Problems 51-60, find the indicated function or value if C(x, y) = 3x² + 10xy − 8y² + 4x 15y 120.…

A:

Q: 248.96/3.20

A: we want to solve out the following 248.96/3.20let N = 248.96/3.20

Q: 9) 105 75

A:

Q: 5) 14 49

A: