sinФ = 1/6
sinФ = opposite/hypotenuse
cosФ = adjacent/hypotenuse
tanФ = opposite/adjacent
SOHCAHTOA
1^(2)+b^(2)=6^(2)
1+b^(2)=36
b^(2)=35
cosФ = /6
tanФ = 1/ = /35
Answer:
11 or 2
Step-by-step explanation:
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Answer:
The time will depend on the number of people who move on each trip from the point of origin to the destination. If done at the maximum speed allowed using 100 vehicles of 50 seats each, the evacuation would be done in 63.68 hours
Step-by-step explanation:
Population = 91,000 ppl
Speed limit = 60 mph
Distance = 21 miles.
1. <em>Assuming that people is evacuated at the max. speed allowed, it means that each trip will take</em>:
T = D/V
D= 21 miles
V = 60 mph:
So;
T = 21 miles / 60mph
T= 0,35 h
2. Asumming that we are going to use an amount of 100 vehicles with 50-seats in each trip for evacuating people, it means that we could evacuate
500 people every 0,35 h ≈ 1,429 ppl/hour <em>(evacuation rate)</em>
To know how long it would take us to evacuate 91,000 people under these conditions, we would have to divide the total amount by the previously calculated evacuation rate
T= 91,000/ 1,429 = 63,68 hours
Answer:
(1) B
(2) A
(3) C
Step-by-step explanation:
A random variable is a variable that denotes a set of all the possible outcomes of a random experiment. It is denotes by a single capital letter such as X or Y.
There are two types of random variables.
- Discrete random variable: These type of random variable takes finite number of values, such as 0, 1, 2, 3, 4, ... For example, number of girl child in a neighborhood.
- Continuous random variable: These type of random variables takes infinite number of possible values. For example, the height, weight.
(1)
Exact weight of quarters now in circulation in the United States.
The variable weight is a continuous variable.
Thus, the exact weight of quarters now in circulation in the United States is a continuous random variable.
(2)
Shoe sizes of humans.
The shoe size of a person are discrete and finite values.
Thus, the shoe sizes of humans are discrete random variables.
(3)
Political party affiliations of adults in the United States.
This variable is not a quantitative variable.
It is a qualitative variable.
Thus, the political party affiliations of adults in the United States is no random variable.
Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.
In your equation, h = -3 and k = -8.
Axis of symmetry: x = -3
Vertex: (-3, -8)
Number of real solutions: 2
