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Naddika [18.5K]
3 years ago
5

What is the probability from a two way table ?

Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0
You may remember the two way relative frequency table where each entry in the table is divided by a total from the table. When each cell is divided by the table total (in this case 240), you get a two way whole table relative frequency. (There are also row and column relative frequency tables.)
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If θ=0rad at t=0s, what is the blade's angular position at t=20s
babunello [35]
The attached figure represents the relation between ω (rpm) and t (seconds)
To find the blade's angular position in radians ⇒ ω will be converted from (rpm) to (rad/s)
              ω = 250 (rpm) = 250 * (2π/60) = (25/3)π    rad/s
              ω = 100 (rpm) = 100 * (2π/60) = (10/3)π    rad/s

and from the figure it is clear that the operation is at constant speed but with variable levels
            ⇒   ω = dθ/dt   ⇒   dθ = ω dt

            ∴    θ = ∫₀²⁰  ω dt  
 
while ω is not fixed from (t = 0) to (t =20)
the integral will divided to 3 integrals as follow;
       ω = 0                                          from t = 0  to t = 5
       ω = 250 (rpm) = (25/3)π            from t = 5   to t = 15
       ω = 100 (rpm) = (10/3)π            from t = 15 to t = 20

∴ θ = ∫₀⁵  (0) dt   + ∫₅¹⁵  (25/3)π dt + ∫₁₅²⁰  (10/3)π dt
     
the first integral = 0
the second integral = (25/3)π t = (25/3)π (15-5) = (250/3)π
the third integral = (10/3)π t = (25/3)π (20-15) = (50/3)π

∴ θ = 0 + (250/3)π + (50/3)π = 100 π

while the complete revolution = 2π
so instantaneously at t = 20
∴ θ = 100 π - 50 * 2 π = 0 rad

Which mean:
the blade will be at zero position making no of revolution = (100π)/(2π) = 50
















3 0
3 years ago
HELP! NEED DONE IN 24 MIN.
Gala2k [10]

Answer:

37.8

Step-by-step explanation:

Set up a proportion using the values given in the diagram of similar triangles.

31.5/15 = x/18

Cross-multiply.

31.5(18) = 15x

Multiply.

567 = 15x

Divide both sides by 15.

37.8 = x

6 0
3 years ago
HELP PLEASE IT'S DUE
ololo11 [35]
Answers are in an attached photo

3 0
3 years ago
Read 2 more answers
Write an expression for the sequence of operations described below. multiply 3 by t, triple the result, then raise what you have
Nadusha1986 [10]

Answer: 43046721(t^8)

Step-by-step explanation:

So first, multiply 3 by t to get 3t. Then, multiply it again by 3 to get 9t. Raise it to the 8th power to get (9^8)(t^8). This gives you 43046721(t^8)

4 0
3 years ago
5. Find the area of a triangle with sides a = 5, b = 8, and c = 11.
earnstyle [38]
Um i think that the answer is c.12.46

4 0
3 years ago
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