John took 4 courses last semester: Biology, Spanish, Physics, and Calculus. The means and standard deviations for the final exams, and John's scores are given in the table below. Convert John's score into z scores. Subject Mean Stand. dev. John's score John's z score Biology 77 10 94.5 Spanish 44 12 50 Physics 60 14 77.5 Calculus 70 12 88 On what exam did John have the highest relative score? (Enter the suject.)

Q: geč (5)

A: I used trigonometric functions identities

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: O y = |x| 5- 4 1 O y = 3- 2 O y = V¤ а. -5 -4 -3 -2 - 4 5 O y = a? -2 O y = x³ -3 -4 O y = x -5+ 1 2…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 4.) 40- (8 x 9) 3+ 10

A: Given expression: 40-8×9÷3+10

Q: 1+2sin(2Ø)=0

A: Any trigonometric equation in terms of variable x has infinitely many solutions if the domain of the…

Q: 7U-(x x is an animal}, N = {x: x is an ungulate} and C = {x: x is cow} All cows are ungulates, but…

A: Given that U= {x: x is an animal} N= (x: x is an ungulate} C= {x: x is cow } Statement: All cows are…

Q: 5 2. 14x dx

A:

Q: 3 3. tan ydy

A: Consider the given integral. I=∫π33π4tan8ydy First calculate the integral. I1=∫tan8ydy

Q: 35.)2x1 + x2 + 3x3 = 0 = 0 X1 + 2x2 %3D X2 + 2x3 = 0

A:

Q: Consider the following probability distribution of the random variable æ. 15 20 25 30 f(x) 0.11 0.19…

A:

Q: / Find A" if 1 2 3 A = 4'1 5 1 %3D

A:

Q: I (n Ps)= 48 3 (nC4)

A: Solution

Q: 7. dz | zV 36z2 - 25

A:

Q: 1. (2х — у + 2)?

A:

Q: 2 |12-x²+ x) dz. -3

A: Given: ∫-32(2-x2+x)dx

Q: XP If x=Y Vi-y!.find d

A: x =y1-y2 dy/dx = ? now derivate with x dx/dx = (dy/dx)1-y2 - (2y2/21-y2)(dy/dx) 1 = (dy/dx)(1-y2 -…

Q: f z dz z+1 Ans. 1 - Int

A:

Q: Evaluate [4/5+91 +12(5+91)' dt .

A: Given,        ∫45+9t+125+9t7dt

Q: T [8 -4 31 2 .5 2 L3]/ [9 12] O [7 8] O [8 7] O [12 9]

A:

Q: Enter the value of L- 1.27].

A: Floor value of x  is given as the greatest integer that is less than or equal to x

Q: 7 (x+1)2 dx а. 11 x 2

A: Use the substitution method, to simplify the integral ∫x+172x112dx.…

Q: 4. (4 – 7)² – 6 - 7+ 20

A: Recall: BODMAS Rule : The BODMAS Rule states that we should calculate the brackets first ,then the…

Q: (-13)+(-3=)

A:

Q: bim nto

A: when we get 0/0 form, libnitz rule is used.

Q: 4 (-1)*- k² k=2 3k II

A: Simplify the product as follows. ∏k=24-1k×k23k3=-12×22323-13×32333-14×42343

Q: 1. (1 +V)*dz 2. (22 – 2) dr

A: Solve the following

Q: Find the value of2(*y, -=,) E(x,v, -2

A:

Q: 5a2 – 14.x + 6 d.x 13.) x3 -3x2

A:

Q: 1. (-√6 + i√2)*

A: To simplify: -6+i24=-6+i222=(-6)2-262i+(i2)22=6-23(2)2i+2i22=6-43i-22=(4-43i)2

Q: 23) у CSC X

A: We need to graph the given function y.