Answer:
The probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur = 0.375
Step-by-step explanation:
The probability of event A occurring = 50% = 0.5
The probability of event B occurring = 25% = 0.25
Events A and B are non simultaneous events.
The probability of event B does not occur = 1 - P(B)
= 1- 0.25
= 0.75
So the probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur
= 0.5*0.75
= 0.375
Thank you.
X - unit of length
w,l - the sides of a rectangle
7 : 2 ⇒ 7x : 2x
Perimeter: P = 207cm
Perimeter: P = 2w + 2l
therefore: 2w + 2l = 207 |divide both sides by 2
w + l = 103.5 (cm)
w : l = 7 : 2 ⇒ w : l = 7x : 2x ⇒ w = 7x; l = 2x
subtitute
7x + 2x = 103.5
9x = 103.5 |divide both sides by 9
x = 11.5 (cm)
7x = 7 · 11.5cm = 80.5cm
2x = 2 · 11.5cm = 23cm
w = 80.5cm; l = 23cm
Area = wl
Area: A = 80.5cm · 23cm = 1851.5cm²
The direct path back forms a right triangle. Use the Pythagorean theorem:
X = sqrt(4^2 + 2^2)
X = sqrt(16 + 4)
X = sqrt(20) = 2sqrt(5)
X = 4.472
Round the answer as needed.
So, we are given the speed in mi/min. We want to convert this to mi/hr. We can do this through cross multiplication.
(11 miles/1min) * (60min/hr) = 660 mi/hr
Now, we need to find the total distance flown:
TD= 6 trips*(500 miles/1 trip) = 3,000 mi
Lastly, we find total time using our converted speed and total distance.
speed = (total distance (in miles))/(total time (in hours))
660mi/hr= 3000mi / t
660t=3000
t=3000/660
t= 4.54 hrs
Answer: The plane will fly a total of about 4 and a half hours.
