Answer:
The probability is 1/2
Step-by-step explanation:
The time a person is given corresponds to a uniform distribution with values between 0 and 100. The mean of this distribution is 0+100/2 = 50 and the variance is (100-0)²/12 = 833.3.
When we take 100 players we are taking 100 independent samples from this same random variable. The mean sample, lets call it X, has equal mean but the variance is equal to the variance divided by the length of the sample, hence it is 833.3/100 = 8.333.
As a consecuence of the Central Limit Theorem, the mean sample (taken from independant identically distributed random variables) has distribution Normal with parameters μ = 50, σ= 8.333. We take the standarization of X, calling it W, whose distribution is Normal Standard, in other words
The values of the cummulative distribution of the Standard Normal distribution, lets denote it 
, are tabulated and they can be found in the attached file, We want to know when X is above 50, we can solve that by using the standarization
Answer:
th part of the field is covered in the second sprint.
Step-by-step explanation:
A football player is running the length of a 100 yard long football field.
Let player sprints x yards with the speed = 2 yards per second.
So time taken to cover x yards player will take time = 
seconds
Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance = 
= 
seconds
Now total time taken by the player can be represented by the equation
Now we can solve this equation for the value of x.
x + 100 = 40×4
x + 100 = 160
x = 160 - 100 = 60 yards
And length of the second part will be = 100 - 60 = 40 yards
Now the fraction of the field covered by the player in second sprint will be
= 
= or 40%
Therefore, th part of the field was covered in second sprint.
Answer:
Step-by-step explanation:
Given
Required
Her salary in that month
Given that she spent 
of her salary on shopping, this implies that she has 
of her salary left
From what's left, she gave her sister
This means she gave her sister 
Sister = 
Calculating a fraction of what's left
Recall that she has Rs11,040
This means that
Multiply both sides by 
Hence, her salary for that month was Rs23000
Answer:
10
Step-by-step explanation:
She already has 75 points. 140-75 is 65. 65/6.5 is 10.
M= 4/5 or the alternative form for m can be 0.8
