Answer:
4.0
Step-by-step explanation:
Using trig identity Tangent, tangent is equal to opposite / adjacent side. Therefore tan30 = x/7, because x is the side opposite to 30 degrees and it is adjacent to 7, (note: adjacent side is never the hypotenuse)
To save time, tan 30 = sqrt(3)/3,
sqrt(3)/3 = x/7
x = 7*sqrt(3)/3 ~ 4.041
Using the discrete distribution, it is found that the probability that it offers an even number of honors classes is of 0.68.
<h3>What is the discrete probability distribution?</h3>
The distribution for the number of honors classes the school offers is given by:
Hence the probability of an even number is given by:
P(even) = P(X = 0) + P(X = 2) + P(X = 4) = 0.38 + 0.25 + 0.05 = 0.68.
More can be learned about discrete probability distributions at brainly.com/question/24802582
#SPJ1
I think it’s the 2nd third and fifth but I’m just answering this so I wouldn’t Answer it off my answer
Speed of the ship in the second hour = (62.5 * x ) / 100 kph.
In third hour it is [(62 * x) / 100 ] * x/100]
is 4th hour its is the above * x/100 again so we can now form the equation
62.5x x x
------- * ---- * ---- = 32
100 100 100
62,5 x^3 = 32,000,000
x^3 = 512,000
x = 80 <----- Answer to (a)
(b) Ship travels 62.5 in first hour then this falls by a common ratio of 0.8 each hour so we have a geometric sequence
Dist travelled in 6 hours = a1 1 - r^n
-------- = 62.5* (1 - 0.8^6) / 1 -0.8 = 230.56
1 - r
Answer is 230.56 km
