Answer:
1. P(P) = 8/20 = 0.4
2. P(G) = 12/20 = 0.6
Step-by-step explanation:
Given;
Number of green marbles G = 12
Number of purple marbles P = 8
Total T = 12+8 = 20
The probability that you choose a purple marble P(P) is;
P(P) = number of purple marbles/total number of marbles
P(P) = P/T = 8/20 = 0.4
P(P) = 0.4
The probability that you choose a Green marble P(G) is;
P(G) = number of Green marbles/total number of marbles
P(G) = G/T = 12/20 = 0.6
P(G) = 0.6
Answer: 3f
Step-by-step explanation:
Answer: 4.1 feet : 4 feet
Step-by-step explanation:
From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.
The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:
Since 1 feet = 0.305 meters
2.5 meters will be = 2.5/0.305 = 8.2 feet
Therefore the conversion ratio will be:.
= 8.2 : 8
Reducing to lowest term will be
= 4.1 feet : 4 feet.
= 4.1 : 4
I hope this picture helps. I'll elaborate if needed!
A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the
KM² = KE² + ME²KM² = 8² + (3√5)² = 64 + 9x5KM = √109KM = 10.44
b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
KN = LM + 2x 2x = KE + DN2x = 8+8x = 8LM = 3x = 3*8 = 24
c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
∠K = ∠N Hence KE = DN the distance ED = LMhence KN = KE + ED + DN since ED = LM = 24and KE + DN = 16KN = 16 + 24 = 40
d)Find area KLMNArea of trapezium can be calculated using the formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM) = 1/2 * 3√5 * (40 + 24) = 1/2 * 3√5 * 64 = 3 x 2.23 * 32 = 214.66 units²
