Answer:

Step-by-step explanation:

<u>Event A - spinning violet or yellow</u>
Assuming that the spinner has 4 different colors (red, orange, violet and yellow) - see attachment.

<u>Event B - rolling an even number</u>
Assuming the number cube has 6 sides numbered 1, 2, 3, 4, 5 and 6. Therefore, the even numbers are 2, 4 and 6.

Events A and B are <u>independent events</u> as the outcome of one event does not affect the outcome of the other event.
For independent events A and B:

To find P(A and B), substitute the found values of P(A) and P(B):

Answer:
If
is people and
is hot dogs, the equation is
.
Answer:
3.6 hours
Step-by-step explanation:
Find the average.
6 + 2 + 3 = 11
Divide by the amount of terms (3).
11 ÷ 3 = 3.6 hours
Answer:
AE = 18
Step-by-step explanation:
The triangles must be similar so we can use ratios
2x+4 12
-------- = ---------
x+8 10
Using cross products
(2x+4)10 = 12 (x+8)
20x +40 = 12x+96
Subtract 12x from each side
20x-12x +40 = 12x-12x +96
8x +40 = 96
Subtract 40 from each side
8x = 96-40
8x = 56
Divide by 8
x = 56/8
x = 7
AE = 2x+4 = 2(7) +4 = 14+4 = 18
Function 1 : y = 4x + 5....slope is 4
function 2 : (1,6)(3,10)
slope = (10 - 6) / (3 - 1) = 4/2 = 2....slope is 2
B. function 1, because the slope is 4 and the slope of function 2 is 2.