Answer:
0.7569, 0.5729,0.4371
Step-by-step explanation:
Given that the books are of only two types either non dash fiction or fiction.
Also probability of selecting a fiction = 0.87 = p
X - no of books fiction selected is binomial with p = 0.87 and n =2
(since each trial is independent of the other and there are only two trials)
a) the probability that both books are fiction=
b) Here n =4 with same p.
c) Prob atleast one is non dash fiction =
This is not unusual since 0.4371 probability is not nearer to 0 it is almost half.
Answer:
10 units
Step-by-step explanation:
Using the distance formula above,
distance between the 2 points
![= \sqrt{[0 - ( - 8)]^{2} + (7 - 1)^{2} } \\ = \sqrt{(0 + 8)^{2} + 6^{2} } \\ = \sqrt{ {8}^{2} + 36} \\ = \sqrt{64 + 36} \\ = \sqrt{100} \\ = 10 \: units](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%5B0%20-%20%28%20-%20%208%29%5D%5E%7B2%7D%20%2B%20%287%20-%201%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%280%20%2B%208%29%5E%7B2%7D%20%2B%206%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B8%7D%5E%7B2%7D%20%20%2B%2036%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B64%20%2B%2036%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B100%7D%20%20%5C%5C%20%20%3D%2010%20%5C%3A%20units)
P = 2(L + W)
P = 192
L = 2W
192 = 2(2W + W)
192 = 2(3W)
192 = 6W
192/6 = W
32 = W <=== the width is 32 yards
L = 2W
L = 2(32)
L = 64 <=== the length is 64 yards
Yes, the two ratios are proportional to each other. The multiplier from the first ratio to the second ratio is 3. For example, 4.2 x 3 = 12.6 and 1.5 x 3 = 4.5. Basically, to figure out if two ratios are proportional to each other, just divide the smaller number into the bigger number for both corresponding numbers. If they're the same ---> Proportional. If they're not the same ---> Not Proportional
