Mandy and Jeff start running around the track in the same direction at the same time. Mandy runs one lap in 2 minutes and 30 sec
1 answer:
Answer:
At 8:52:30 am they will be side-by-side again
Step-by-step explanation:
Let s be the distance ran in one 1 lap.
Here Jeff runs one extra lap compared to Mandy for coming side by side again.
Mandy runs one lap in 2 minutes and 30 seconds = 150 s
Speed of Mandy,
Jeff runs one lap in 2 minutes and 15 seconds = 135 s
Speed of Jeff,
Let t be the time when Jeff run one extra lap,
That is
So after 1350 seconds Jeff comes side by side to Mandy,
They both start at 8:30 am
1350 s = 22.5 minutes = 22 minutes 30 seconds
Time = 8:52:30 am
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From what I imagine in the problem description, the toy is located on the ground. Then, Belkis is pulling on the string to keep the toy moving just like how you put a leash on a dog. My illustration is shown in the picture. The F arrow is where Belkis pulls it. Its component vectors are Fx and Fy, as shown.
From the figure, we can see that it forms a right triangle. So, it makes it easy because the pythagorean theorems are applicable and we can easily use trigonometric functions. First, let's determine Fy which is located opposite to the angle. Since we know the hypotenuse F to be 1.5 N, so we use the sine function:
sin 52° = Fy/F = Fy/1.5
Fy = 1.182 N
For the horizontal component, Fx is parallel to the adjacent side with respect to the angle. Thus, we use the cosine function.
cos 52° = Fx/F = Fx/1.5
Fx = 0.923 N
From the figure, we can see that it forms a right triangle. So, it makes it easy because the pythagorean theorems are applicable and we can easily use trigonometric functions. First, let's determine Fy which is located opposite to the angle. Since we know the hypotenuse F to be 1.5 N, so we use the sine function:
sin 52° = Fy/F = Fy/1.5
Fy = 1.182 N
For the horizontal component, Fx is parallel to the adjacent side with respect to the angle. Thus, we use the cosine function.
cos 52° = Fx/F = Fx/1.5
Fx = 0.923 N
Answer:
The probability distribution is
X : 0 1 2
f(X) : 2/7 4/7 1/7
Step-by-step explanation:
Let x is the number of defective sets purchased by the hotel.
Total number of television sets = 7
Total number of defective television sets = 2
Since there are 2 defective television sets and hotel purchase 3 sets, So, X=0,1,2.
If X=0,
If X=1,
If X=2,
The probability distribution is
X : 0 1 2
f(X) : 2/7 4/7 1/7
The probability histogram is shown below.
