Answer:

Step-by-step explanation:
Given


See attachment
Required
Find 
First, calculate 
--- angle on a straight line
So, we have:

Collect like terms


Next, calculate PQR

So, we have:

Collect like terms


So, PRO is calculated as:
--- angles in a triangle
So, we have:


Collect like terms


Answer:
9,000
Step-by-step explanation:
Answer:
Mitchell needs to sell 120 stoves for the options to be equal.
Step-by-step explanation:
Company A gives Mitchell $12000 salary plus $150 commission per stove selling and Company B is offering Mitchell $24000 salary plus $50 commission per stove selling.
So, if Mitchell sells x number of stoves such that both the plans become equal, then we can write
12000 + 150x = 24000 + 50x
⇒ 100x = 12000
⇒ x = 120
Therefore, Mitchell needs to sell 120 stoves for the options to be equal. (Answer)
Answer:
a) 0.145
b) 0.013
c) 0.783
d) 0.586
Step-by-step explanation:
a) there are always 52 cards in total, 13 hearts
Pa = 39/52 × 38/51 × 13/50 = 19266/132600 = 257/1700 =0.145
b) there are always 13 diamonds in a complete card
Pb = 13/52 × 12/51× 11/50 = 11/850 = 0.013
c) there are always 4 aces, and 48 that are not aces
Pc = 48/52 × 47/51 × 46/50 = 4324/5525 = 0.783
d) there are 13 hearts,to get at least one heart we have.
Pd = 1 - p
Where p is the probability of no hearts
p = 39/52 × 38/51 × 37/50 = 703/1700 = 0.414
Pd = 1 - 0.414
Pd = 0.586
Answer:
d
Step-by-step explanation: