Answer:
9.09
Step-by-step explanation:
x=speed of boat
y=speed of water current
Downstream relative speed = x+y
Upstream relative speed = x-y
Distance remains the same for both upstream and downstream.
a) Distance travelled downstream = speed x time = 3(x+y)
Distance travelled upstream = speed x time = 3.6(x-y)
b) Since both distances are equal, we can write
3(x+y)= 3.6(x-y)
3x+3y = 3.6x-3.6y
6.6y = 0,6x
x=11y: y=x/11
c) Water current has speed as 1/11 times of that of boat
In percent this equals 100/11 = 9.09%
Answer:
35
Step-by-step explanation:
Answer: a. 0.6759 b. 0.3752 c. 0.1480
Step-by-step explanation:
Given : The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes
i.e.
minutes
minutes
Let x be the long-distance call length.
a. The probability that a call lasts between 5 and 10 minutes will be :-

b. The probability that a call lasts more than 7 minutes. :
![P(X>7)=P(\dfrac{X-\mu}{\sigma}>\dfrac{7-6.3}{2.2})\\\\=P(Z>0.318)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E7%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B7-6.3%7D%7B2.2%7D%29%5C%5C%5C%5C%3DP%28Z%3E0.318%29%5C%20%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C0.318%29%5C%5C%5C%5C%3D1-0.6248%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7Bby%20z-table%7D%5D%5C%5C%5C%5C%3D0.3752)
c. The probability that a call lasts more than 4 minutes. :

<span>Yes it is true that a continuous function that is never zero on an interval never changes sign on that interval. This is because of ever important Intermediate Value Theorem.</span>
For this case we have that half of the flag was painted blue and the other half yellow.
In addition, a third of the blue half was covered with stars.
So:

A sixth of the flag is blue with stars.
Answer:
