Answer:
1 / 16
Step-by-step explanation:
Number of options = 4
Number of correct answers = 1
Number points gained for a correct answer = 1
Number of points lost for an incorrect answer = 1/4 = 0.25
Probability of choosing a correct option = 1/4
Probability of choosing an incorrect option = 3/4
x ____ 1 ______ - 1/4
P(x) __ 1/4 ______ 3/4
Expected gain or loss :
E(x) = Σx*p(x)
E(x) = (1 * 1/4) + (-1/4 * 3/4)
E(x) = 1/4 - 3/16
E(x) = (4 - 3) / 16
E(x) = 1 /16
A gain of 1/16
Answer:
41 feet
Step-by-step explanation:
We apply the theorem below:
If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
Let x be the perimeter of the smaller triangle
If the ratio of their heights is 6:5 and the perimeter of the larger triangle is 49.2 feet,
6:5=49.2:x
6/5=49.2/x
Cross multiplying
6x=49.2 X 5
6x=246
x=246/6=41
The perimeter of the smaller triangle is 41 feet
Answer: 3/2
Step-by-step explanation:
the formula to find slope is:
m = rise/run = 
In this case:
m = 3/2 = 
D would be the most reasonable because the whole set up adds up to 10 and you only have a chance of drawing all of the colors in a row
