Answer: its 4
Step-by-step explanation:
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Answer:
Step-by-step explanation:fufufucu
Answer:
Answer is m∠4=40
Step-by-step explanation:
take note that m∠6 & m∠7 are vertical angles. Vertical angles are equal to each other, therefore m∠6 is equal to m∠7.
m∠6 = m∠7 (vertical angles)
11x + 8 = 12x – 4
12x - 11x = 8 + 4
x = 12
so
m∠6 = 11x + 8
m∠6 = 11(12) + 8
m∠6 = 132 + 8
m∠6 = 140
m∠4 = 180 - m<6
m∠4 = 180 - 140
m∠4 = 40
Answer:
expression: x^3-2
If the number is 5: 123
Step-by-step explanation:
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>