Probability that a pen from the first box and a crayon from the second box are selected is 1/5.
<u>Step-by-step explanation</u>:
Step 1 :
- First box contain = 1 pencil + 4 pens = 5 items
- Second box contain = 6 color pencils + 2 crayons = 8 items
Step 2 :
Probability for a pen from 1st box, P(pen) = no. of pens / total items
P(pen) = 4/5
Probability for a crayon from 2nd box, P(crayon) = no. of crayons / total items
P(crayon) = 2/8 = 1/4
Step 3 :
P(pen) and P(crayon) = (4/5) 
(1/4)
= 4/20
P(pen) and P(crayon) = 1/5
Part A: In (0,4) and (1,8), as x increases from 0 to 1, y increases from 4 to 8. The slope of the line connecting these 2 pts. is (8-4) / (1-0), or 4. Now do the same thing for the 2 pts (1,8) and (2, 10). You will find that the slope in the 2nd case is different. Thus, the 3 given pts do NOT lie on a straight line. Function is non-linear.
Part B: an example of a non-linear function would be y = 2x^2 - 5. You can tell immediately from that exponent, 2, that this function is non linear.
An ex. of a linear function would include x to the 1st power only: y = 3x - 7.
Answer:
(a) Along the xy-plane,
7x + 6y = 0
(b) Along the yz-plan,
2y - 3z = 0
(c) Along the xz-plane,
7x - 3z = 0
Step-by-step explanation:
To describe the given set.
Given the plane (7, 6, -3),
We have the equation as
7x + 6y - 3z = 0
(a) Along the xy-plane, z = 0, and we have
7x + 6y = 0
(b) Along the yz-plan, x = 0, and we have
6y - 3z = 0
Or
2y - 3z = 0
(c) Along the xz-plane, y = 0, and we have
7x - 3z = 0
Answer:
x = -9
Step-by-step explanation:
ANGLES IN A TRIANGLE ADD UP TO 180°
50° + 80° = 130°
180° - 130° = 50
x+59 = 50
x = -9
Answer:
Step-by-step explanation:
(d + 5) + (d + 5) + (d + 5).....combine like terms
3d + 15 <===
