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lesantik [10]
3 years ago
5

A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers ge

nerated are single-digit numbers?
Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

A. 0.0058

Step-by-step explanation:

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What is the exact value? (Picture provided)
creativ13 [48]

Answer:

b.  (√15)/4

Step-by-step explanation:

Since Sin Ф = (opposite side)/Hypotenuse, we have 2 sides of a right triangle.  

Use Pythagorean theorem to solve for the missing leg (the adjacent side)

 1² + b² = 4²

    1 + b² = 16

            b² = 15

                 b = √15

So the adjacent side is √15, so Cos Ф = (√15)/4

6 0
3 years ago
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A box contains 8 green, 4 yellow, and 8 purple balls.
Kruka [31]

Answer:

4/20=1/5

Step-by-step explanation:

5 0
3 years ago
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Batman (mass=100 kg) jumps straight down from a bridge in to a boat (mass = 580 kg) in which a criminal is fleeing. The velocity
Crank

Answer:

v_b=11.94\ m/s

Step-by-step explanation:

<u>Linear Momentum </u>

The momentum of a system of masses m1,m2,m3... with speeds v1,v2,v3,... is given by

M=m_1v_1+m_2v_2+m_3v_3+...

When some interactions take place into the system of masses with no external forces interferring, the total momentum is not changed, which means that if the new speeds are v1', v2', v3'... then:

m_1v_1+m_2v_2+m_3v_3+...=m_1v_1'+m_2v_2'+m_3v_3'+...

The problem relates the story of Batman (m1=100kg) who is initially assumed at rest and lands on a boat with mass m2=580 kg initially moving at 14 m/s to the positive reference. When the collision takes place, both masses join and a common speed v_b is achieved by the common mass. Applying the conservation of momentum, we have

m_1v_1+m_2v_2=(m_1+m_2)v_b

Since v_1=0

m_2v_2=(m_1+m_2)v_b

Solving for v_b

\displaystyle v_b=\frac{m_2v_2}{m_1+m_2}

\displaystyle v_b=\frac{(580)(14)}{100+580}

\boxed{v_b=11.94\ m/s}

7 0
3 years ago
A lighthouse beacon can be seen 17mi in all directions. To the nearest square mile, what is the area over which the beacon can b
Alchen [17]
Imagine this as a circle. The circle will have a radius of 17mi and the lighthouse will be in the middle. The area of the circle will be the area over which the beacon can be seen.

A=\pi  r^{2} is the equation for the area of the circle where A is the area.

Now we simply plug in our information

A=\pi  (17)^{2}
A=907.9mi^{2}
7 0
3 years ago
Find the length of the hypotenuse in triangles with sides 63m and 2752cm, hypotenuse in metres
qwelly [4]
C² = a² + b²
c² = (63)² + (2752)²
c² = 3969 + 7573504
c² = 7577473
 c = 2752.72101747
8 0
4 years ago
Read 2 more answers
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