Answer:
7
Step-by-step explanation:
2x² - 28x + 98 = 0
x² - 14x + 49 = 0
(x - 7)² = 0
x = 7
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
5a + 15 = 24b so,
10a + 30 = 48b,
sub to third equation,
10a + 30 + 35c = 49
10a + 35c = 19
perform elimination with second equation
10a + 45c = 21
10a + 35c = 19
________________-
10c = 2
c = 1/5
sub to second equation,
10a + (45)(1/5) = 21
10a + 9 = 21
10a = 12
a = 6/5
sub to first equation
(5)(6/5) - 24b = -15
6 + 15 = 24b
21 = 24b
b = 7/8
redo the calculations, correct me if I'm wrong
The radius the wheel (circle) is 15 ft a circle is equal to 360° so
1the central angle is: 5/360=24°
the circumference is: 2 π 24= 150.7ft
The arc is: 150.7/24= 6.28ft
The area of sector is: = 1/20 * Area of circle
<span>= 1/20 * pi * (25)^2 </span>
<span>= 98.17 feet^2
</span>I hope that this is helpful :)
Answer: ???
Step-by-step explanation: what do you need help with
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