Answer:
175 adults
360 senior citizens
Step-by-step explanation:
Let x be the number of senior citizens
There were a total of 535 people, so
(535-x)=total number of adults
Total receipts=$8,355
Adult payments+Senior payments=$8,355
21(535-x)+13x=$8,355
$11,235-21x+13x=$8,355
$11,235-8x=$8,355
-8x=$-2,880
x=360 senior citizens
Number of adults=535-360=175 adults
To check, just substitute...
21(175)+13(360)
3,675+4,680
Which equals.....
$8,355
For a shape to be a square all the angles need to be 90 degrees.
Angle B = 3x+60 = 90
3x +60 = 90
Subtract 60 from each side:
3x = 30
Divide both sides by 3:
x = 30 /3
X = 10
Answer:
0.8594
Step-by-step explanation:
Let a denote the event of forgetting to shut off machine and b be the event of being defective.
-A foreman forgets to shut off machine 55% of the time.
-If he forgets, 15% of molds are defective.
-If he does not, 3% of molds are defective.
#The probability that he forgot to shut off the machine is calculated as:

P(a and ~b)=0.55(1-0.15)=0.4675
P(~a and b) = (1-0.55)*0.03=0.0135
P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365
#Conditional probability is defined as:

Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594