A well formatted table of the distribution is attached below :
Answer:
0.124
0.733
0.408
Step-by-step explanation:
Using the table Given :
1.) P(AP Statistics) = 90 / 725 = 0.124
2.) P(12th grade ; Precalculus or AP Statistics) = (100 + 65) / 225 = 165 /225 = 0.733
3.) P(Algebra 11 | 11th grade) = P(Algebara11 n 11th grade) / P(11th grade) = 100 / 245 = 0.408
Who here is able to lift 2,500 pounds?
Answer: Andre picked 252 pounds of apples
Step-by-step explanation:
Let x = number of pounds of apple picked by Jane.
Let y = number of pounds of apple picked by Andre
Let z = number of pounds of apple picked by Maria
Andre picks three times as many pounds as maria. It means that
y = 3z
Jane picks two times as many pounds as Andre. It means that
x = 2y
The total weight of the apples is 840 pounds. It means that
x + y + z = 840 - - - - - - - - - 1
We will substitute z = y/3 and x = 2y into equation 1
2y + y + y/3 = 840
Cross multiplying with 3
6y + 3y + y = 2520
10y = 2520
y = 2520/10 = 252
x = 2y = 252× 2 = 504
z = y/3 = 252/3 = 84
Answer:
dy/dx when x = 1 is (4y + 3) / 2.
Step-by-step explanation:
x^3 + 2x^2y - 4y=7
Using implicit differentiation:
3x^2 + 4xy + 2x^2.dy/dx - 4 dy/dx = 0
2x^2.dy/dx - 4dy/dx = -3x^2 - 4xy
dy/dx = (-3x^2 - 4xy ) / (2x^2 - 4)
When x = 1:
dy/dx = (-3 - 4y) / -2
= -1(4y + 3) / -2
(4y + 3)/ 2 (answer).
