Answer:
1 /1 ; 360°
Step-by-step explanation:
Start time = 2:30 pm
Stop time = 3:30 pm
Minute hand makes a complete revolution per hour ;
This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1
The angle turned by the minutes hand :
1 complete revolution = 360°
A circle covers 360°
1 /1 fraction of a circle = 1/1 * 360° = 360°
Hence, angle turned by the minute hand = 360°
If they are equal then,
5x-3=2x+25
3x=22
X=7 +1/3=7.(3)
Answer:
<h2>2/5 </h2>
Step-by-step explanation:
<h2>Hope it help & study well</h2>
To find the value of r
We will follow the steps below
Usinf the equation of a slope:
slope(m) =

from the question given;
m= -3/4
x₁ = 3
y₁=4
x₂=-1
y₂=r
substituting the values into the slope formula

we can now simplify and then solve for r

cross-multiply
-3 x -4 = 4(r-4)
12 = 4(r-4)
Divide both-side of the equation by 4

3 = r - 4
add 4 to both-side of the equation
3+4 = r-4+4
7 = r
r=7
Therefore the value of r is 7
Answer:
(a) Sample Space

(b) PMF

(c) CDF

Step-by-step explanation:
Solving (a): The sample space
From the question, we understand that at most 3 cars will be repaired.
This implies that, the number of cars will be 0, 1, 2 or 3
So, the sample space is:

Solving (b): The PMF
From the question, we have:



can be represented as:
![P(1) + P(2) = 0.5[P(0) + P(3)]](https://tex.z-dn.net/?f=P%281%29%20%2B%20P%282%29%20%3D%200.5%5BP%280%29%20%2B%20P%283%29%5D)
Substitute
and 
![P(1) + P(1) = 0.5[P(0) + P(0)]](https://tex.z-dn.net/?f=P%281%29%20%2B%20P%281%29%20%3D%200.5%5BP%280%29%20%2B%20P%280%29%5D)
![2P(1) = 0.5[2P(0)]](https://tex.z-dn.net/?f=2P%281%29%20%3D%200.5%5B2P%280%29%5D)


Also note that:

Substitute
and 


Substitute 



Solve for P(1)

To calculate others, we have:






Hence, the PMF is:

<em>See attachment (1) for histogram</em>
Solving (c): The CDF ; F(x)
This is calculated as:

For x = 0;
We have:


For x = 1



For x = 2



For x = 3



Hence, the CDF is:

<em>See attachment (2) for histogram</em>