Answer:
31°
Step-by-step explanation:
To convert Fahrenheit to Celsius is C= (F-32) * 5/9
So first do parenthesis 87-32= 55
Next multiply that number by 5/9 which is 30.55555555
Then round your answer = 31°
The typical tip would be 19.5, you get this from solving or searching up 15% of 130 equaling to 19.5
107.75mThis is a trigonometric ratio problem. the angle of depression (10) is opposite the height (19m) and the distance is adjacent to the distance (x). opposite ad adjacent sides to the angle is a tangent problem.
![tan \theta = \frac{opp}{adj}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cfrac%7Bopp%7D%7Badj%7D)
plus in values, we know.
![tan (10) = \frac{19}{x}](https://tex.z-dn.net/?f=tan%20%2810%29%20%3D%20%5Cfrac%7B19%7D%7Bx%7D)
switch tan(10) and x using the products property.
![x = \frac{19}{tan (10)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B19%7D%7Btan%20%2810%29%7D)
plug in to calulator to get answer
x=107.75
Answer:
19.51% probability that none of them voted in the last election
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
42% of Americans voted in the previous national election.
This means that ![p = 0.42](https://tex.z-dn.net/?f=p%20%3D%200.42)
Three Americans are randomly selected
This means that ![n = 3](https://tex.z-dn.net/?f=n%20%3D%203)
What is the probability that none of them voted in the last election
This is P(X = 0).
19.51% probability that none of them voted in the last election
![HEY THERE !!](https://tex.z-dn.net/?f=%3Cb%3E%3Ci%3EHEY%20THERE%20%21%21)
As we know that cotx= 1/tanx
cot36° = 1/tan36°
=>cot36°= 1/0.726543
=>so cot 36°= 1.376382
So correct answer is option D.
HOPR YOU LIKED.