<em>Greetings from Brasil...</em>
We have 2 conditions:
1 - angles opposed by the vertex - the angles are equal
2 - supplementary angles - the sum of the two angles results in 180
2:
(4X + 15) and (5X + 30) are supplementary angles, so:
(4X + 15) + (5X + 30) = 180
9X = 180 - 15 - 30
9X = 135
<h2>X = 15</h2>
1:
(3Y + 15) and (5X + 30) are angles opposed by the vertex, so they are equal
3Y + 15 = 5X + 30
3Y = 5X + 30 - 15
3Y = 5X + 15 <em>above we have already calculated the value of X</em>
3Y = 5.(15) + 15
3Y = 75 + 15
3Y = 90
Y = 90/3
<h3>Y = 30</h3>
Answer:
The probability that the person is between 65 and 69 inches is 0.5403
Step-by-step explanation:
Mean height = 
Standard deviation = 
We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)
At x = 65
Z=-0.4
Refer the z table for p value
P(x<65)=0.3446
At x = 69
Z=1.2
P(x<69)=0.8849
So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403
Hence the probability that the person is between 65 and 69 inches is 0.5403
Answer:
30 minutes
Step-by-step explanation:
Walk rate = 88 paces/ minute
Average length of pace = 0.875 m
Time taken to walk 2.31 km ;
The distance in metres :
1000 m = 1 km
2.31 km = (1000 * 2.31) = 2310 m
Recall :
Time taken = distance / speed
Distance walked in a minute = 88 * 0.875 = 77 m
Time taken = 2310 / 77
Time taken = 30 minutes
