Assume that a step to the north is in the positive direction and a step in the south is in the negative direction.
Then,
and
After 1 hour of independent steps,
and
Therefore, by Central Limit Theorem, the distribution of the random walk is normal with a mean of 0 cm and a standard deviation of 17.32 cm. He is expected to be somewhere around his starting point after 1 hour.
Answer: Hi!
So if in the box there are 2 balls and she chose one at random, then she had a 0.5 probability of chose each ball, and then she has a 0.5 probability of choosing the ball that is associated to the correct answer, then she has a 0.5 of getting each answer correct.
Now she has 4 questions, then the probability for getting all of them correct is the product of the probabilities for each one; this is:
0.5*0.5*0.5*0.5 = 0.0625
multiplied by 100%, we get a 6.25% of getting the four answers correct using this method.
Ok so all you have to do is set SPR and QPR equal like this
4x+11=5x-4
and solve to get x=15
then substitute in 15 for x in both equations
4(15)+11 and 5(15)-4
both =71 and add them up to get SPQ=142.
Answer:
30°
Step-by-step explanation:
Solve the blank angle for the bottom triangle. The sum of all the angles of a triangle is equal to 180. 75° + 75° = 150°. 180° - 150° = 30°. The missing angle of the bottom triangle is 30°. Angle x is equal to the blank angle of the bottom triangle. Therefore, x = 30°.
I hope this helped and please mark me as brainliest!
You have 1250 pieces of candy. You gave 187.50 pieces to your friend. How many do you have now.
1250
-187.50
---------
1062.7 or (rounded) 1063 ( You can use the calculator, or standard algorithm)