Answer: 
Step-by-step explanation:
Binomial probability formula :-
, where P(x) is the probability of getting success in x trials, n is the total number of trials and p is the probability of getting success in each trial.
We assume that the total number of days in a particular year are 365.
Then , the probability for each employee to have birthday on a certain day :
Given : The number of employee in the company = n
Then, the probability there is at least one day in a year when nobody has a birthday is given by :-
Hence, the probability there is at least one day in a year when nobody has a birthday =
we are given
A woman walks due east on the deck of a ship at 4 mi/h.
the ship is moving south at a speed of 24 mi/h
so, firstly, we will draw diagram
so, we have
now, we can use Pythagoras theorem
now, we can plug values
and we get
so,
the speed of the woman relative to the surface of the water is 24.33 mi/h .......Answer
Answer:
r = ∛(3V/4π)
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
We want to solve this first for r³ and then for r.
Multiplying both sides of V = (4/3)πr³ by 3 yields an equation without fractions: 3V = 4πr³.
Dividing both sides of this equation by 4π isolates r³:
3V
r³ = -------
4π
To find r, take the cube root of both sides of
3V
r³ = -------
4π
obtaining r = ∛(3V/4π)
Answer:
y = (-3/4)x - 4
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.
Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.
We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:
y - y1 = m(x - x1)
y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)
y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3
y = (-3/4)x - 3 - 1
y = (-3/4)x - 4
The answer to the first question is the square root of five, the second answer choice.
The answer to the second question, I'm not 100% certain but I'm pretty sure its 2^0, the first answer choice or 2^1, the second answer choice. Take your pick.
