Simplifying
34 = 10 + 4q
Solving
34 = 10 + 4q
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '-4q' to each side of the equation.
34 + -4q = 10 + 4q + -4q
Combine like terms: 4q + -4q = 0
34 + -4q = 10 + 0
34 + -4q = 10
Add '-34' to each side of the equation.
34 + -34 + -4q = 10 + -34
Combine like terms: 34 + -34 = 0
0 + -4q = 10 + -34
-4q = 10 + -34
Combine like terms: 10 + -34 = -24
-4q = -24
Divide each side by '-4'.
q = 6
Simplifying
q = 6
hope this helps please mark brainliest
Answer: 18.52
Step-by-step explanation: not exactly sure if this is right. Had to look it up sorry. (Link=https://www.mathwarehouse.com/arithmetic/square-root-calculator.php)
343−−−√49⋅7−−−−√ 49−−√7–√ 77–√
343−−−√≈18.520259177452136
Answer:
a) Var[z] = 1600
D[z] = 40
b) Var[z] = 2304
D[z] = 48
c) Var[z] = 80
D[z] = 8.94
d) Var[z] = 80
D[z] = 8.94
e) Var[z] = 320
D[z] = 17.88
Step-by-step explanation:
In general
V([x+y] = V[x] + V[y] +2Cov[xy]
how in this problem Cov[XY] = 0, then
V[x+y] = V[x] + V[y]
Also we must use this properti of the variance
V[ax+b] =
V[x]
and remember that
standard desviation = ![\sqrt{Var[x]}](https://tex.z-dn.net/?f=%5Csqrt%7BVar%5Bx%5D%7D)
a) z = 35-10x
Var[z] =
Var[x] = 100*16 = 1600
D[z] =
= 40
b) z = 12x -5
Var[z] =
Var[x] = 144*16 = 2304
D[z] =
= 48
c) z = x + y
Var[z] = Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] =
= 8.94
d) z = x - y
Var[z] = Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] =
= 8.94
e) z = -2x + 2y
Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320
D[z] =
= 17.88
Answer:
Use the given functions to set up and simplify O R X . y − 2 − 4 ( x − 3 ) = − 4 x + y + 10 O R X = − 4 x + y + 10
Step-by-step explanation:
Original price of the item: $40
Discount percent off: 25% so convert 25% into decimal place
25/100=0.25
Amount saved (discount): 0.25 x 40 = $10
Sale/Discounted price: $30
Therefore, Rica pay $30 for the video game.