A) the probability it is brown would be 50%; the probability it is yellow or blue would be 35%; the probability it is not green is 95%; the probability it is striped is 0%.
B) the probability of all brown would be 12.5%; the probability that the third one is the first red one drawn is 8.1%; the probability that none are yellow is 61.4%; the probability that at least one is green is 14.3%.
Explanation:
A) The probability that it is brown is the percentage of brown we have. Brown is not listed, so we subtract what we are given from 100%:
100-(15+10+20+5) = 100-(50) = 50%. The probability that one drawn is yellow or blue would be the two percentages added together: 15+20 = 35%. The probability that it is not green would be the percentage of green subtracted from 100: 100-5=95%. Since there are no striped candies listed, the probability is 0%.
B) Since we have an infinite supply of candy, we will treat these as independent events. All 3 being brown is found by taking the probability that one is brown and multiplying it 3 times:
0.5*0.5*0.5 = 0.125 = 12.5%.
To find the probability that the first one that is red is the third one drawn, we take the probability that it is NOT red, 100-10 = 90% = 0.9, for the first two, and the probability that it IS red, 10% = 0.1, for the last:
0.9*0.9*0.1 = 0.081 = 8.1%.
The probability that none are yellow is found by raising the probability that the first one is not yellow, 100-15=85%=0.85, to the third power:
0.85^3 = 0.614 = 61.4%.
The probability that at least one is green is computed by subtracting 1-(probability of no green). We first find the probability that all three are NOT green:
0.95^3 = 0.857375
1-0.857375 = 0.143 = 14.3%.
No it is not because its more then ten numbers away from the solution of the five tickets
Alternate interior angles I believe
Answer:
last one
Step-by-step explanation:
Answer:
a) XY , XVY
b) 248°
c) UV , UY
d) 6√5 = 13.42
Step-by-step explanation:
a) The minor arc is XY
The major arc is XVY
b) ∵ The measure of the minor arc is 112°
∵ The measure of the circle is 360°
∴ The measure of the rest arc = 360 - 112 = 248°
c) UV is the tangent to the circle
UY is the secant to the circle
d) ∵ UV is a tangent to the circle at V
∵ UY is a secant to the circle
∴ (UV)² = (UX) × (UY)
∵ UX = 9 and XY = 11 ⇒ ∴ UY = 11 + 9 = 20
∴ (UV)² = 9 × 20 = 180
∴ UV = √180 = 6√5 = 13.42
