Answer:
1 /4
Step-by-step explanation:
Given that :
Let :
P(S) = probability of drawing a spade
Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :
P(drawing a spade)/P(not drawing a spade) = 1:3
P(S) / P(S') = 1/ 3
P(S') = 1 - P(S)
P(S) / (1 - P(S)) = 1 / 3
Cross multiply :
3P(S) = 1 - P(S)
Collect like terms
3P(S) + P(S) = 1
4P(S) = 1
P(S) = 1/4
Hence, probability ratio of drawing a spade P(S) = 1/4
Answer:
5/21
Step-by-step explanation:
Change division sign to multiplication and flip second fraction upside down
1/3 x 5/7 = 5/21
Answer:
<u>x = (3√34 + 1)/5 units</u>
Step-by-step explanation:
Let's solve for x, using the Pythagorean theorem, this way:
BC is the Hypotenuse of the triangle ABC
BC² = 15² + 9²
BC² = 225 + 81
BC² = 306
BC = √9 * 34
BC = 3 √34
Now, we can substitute and solve for x, this way:
BC = 3x + 2x - 1
3 √34 = 3x + 2x - 1
3√ 34 + 1 = 5x
<u>x = (3√34 + 1)/5 units</u>
The slope would represent 1200 not sure though y= mx + b
Answer:
m = -3/4
Step-by-step explanation:
-5 - 1 / 6 - -2 = -6/8 = -3/4