Answer:
27/100
Step-by-step explanation:
Yes. If the diagonals bisect the angles, the quadrilateral is always a parallelogram, specifically, a rhombus.
Consider quadrilateral ABCD. If diagonal AC bisects angles A and C, then ΔACB is congruent to ΔACD (ASA). Hence AB=AD and BC=CD (CPCTC).
Likewise, if diagonal BD bisects angles B and D, triangles BDA and BDC are congruent, thus AB=BC and AD=CD. (CPCTC again). Now, we have AB=BC=CD=AD, so the figure is a rhombus, hence a parallelogram.
26' wheel @ 90 rpms = 2,340 inches / min (26 x 90)
2,340 inches / min = 140,400 inches / hour (2,340 x 60)
140,400 inches / hour = 11,700 feet / hour (140,400 / 12)
11,700 feet / hour = approx. 2.216 miles / hour (11,700 / 5,280)
Answer:
1) The probability that the second apple is red is 0.7143 (71.43%).
2) The probability that at least one red apple is picked 0.9341 (93.41%).
Step-by-step explanation:
We can make a probability tree as the attached picture.
1) There are 2 ways in the probability tree when the second apple is red:
Both apples are red:
P(R∩R)==0.4945
Only the second apple is red:
P(Y∩R)==0.2198
The probability that the second apple is red is the sum of the previous probabilities.
P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143
2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.
The way in the probability tree is Y∩Y:
P(Y∩Y)==0.0659
P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341