Answer:
≈ 7
Step-by-step explanation:
12.5 * .25=3 1/8 miles running part
3.125 * .5=1 9/16 miles kayaking part
12.5+3.125+1.5625=17 3/16 miles total race
This problem lends itself to the binomial probability approach.
Focus on students who are not secretly robots.
Then P(student is not a robot) = 2/6, or 1/3. Here n=6 and x=2.
Then the desired probability is binompdf(6,1/3, 2), which, by calculator, comes out to 0.329.
Answer:
35°
Step-by-step explanation:
From the sketch made, to obtain B we use the cosine angle formula :
We have 2 so des and an included angle
Cos B = (a² + c² - b²) / 2ac
First we obtain the side c
c² = a² + b² - 2ab CosC
c² = 11.2² + 6.7² - 2(11.7 * 6.7) * cos 72
c = 11.13
Using the value of c
Cos B = (a² + c² - b²) / 2ac
CosB = (11.2² + 11.13² - 6.7²) / (2*11.2*11.13)
Cos B = 204.4269 / 249.312
B = Cos^-1(204.4269 / 249.312)
B = 34.9°
The answer is going to be 5( n/10)