Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed = ![\frac{distance}{time}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%7D%7Btime%7D)
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings = ![105^{o}](https://tex.z-dn.net/?f=105%5E%7Bo%7D)
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
=
+
- 2bcCos A
=
+
-2(5000 x 3000) Cos 105
=
+
-2(5000 x 3000) x (-0.2588)
= 2.5 x
+ 9 x
+ 7764000
= 41764000
a = ![\sqrt{41764000}](https://tex.z-dn.net/?f=%5Csqrt%7B41764000%7D)
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.
Answer:
1.# = 119.2 2.# = 869.545454545 3.# = 443.66666666 4.# = 13501.3939394
Step-by-step explanation:
i don't know about the 2 one and 3 and 4 one that came up a very big number. I used a calculator though.exactly way you tired to tipe it in sorry it took so long to answer the problem!!!.
Answer:
2nd degree
Step-by-step explanation:
Answer: 0.1840
Step-by-step explanation:
The binomial probability formula :-
, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.
Given : The probability of the community favored building a police substation in their neighborhood = 0.64
If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-
![P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840](https://tex.z-dn.net/?f=P%288%29%3D%7B14%7D%5EC_%7B8%7D%5C%20%280.64%29%5E%7B8%7D%281-0.64%29%5E%7B14-8%7D%5C%5C%5C%5C%3D%5Cdfrac%7B14%21%7D%7B8%216%21%7D%5Ctimes%280.64%29%5E8%280.36%29%5E%7B6%7D%5C%5C%5C%5C0.183996740126%5Capprox0.1840)
Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840
24 cause 25% is basically 1/4 so its 4 times 6 so its 24