HERE IT IS!!!
I HOPE THIS IS GOOD ENOUGH
Answer:
<em>There were 8 correct answers and 2 incorrect answers.</em>
Step-by-step explanation:
The contest consists of paying $50 for each correctly answered question and subtracting $25 for each incorrectly answered question.
Let's call:
x = Number of correct answers
y = Number of incorrect answers
The resident from a dormitory answered 10 questions last week. This leads to the following condition:
![x + y = 10\qquad\qquad [1]](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2010%5Cqquad%5Cqquad%20%5B1%5D)
Since each correct answer adds $50 and each incorrect answer subtracts $25, the weekly balance is
50x - 25y
The contestant earned $350, thus:
50x - 25y = 350
Dividing by 25:
2x - y = 14
Adding this equation with [1]:
x + 2x = 24
Simplifying:
3x = 24
x = 24 / 3
x = 8
From [1]:
y = 10 - x = 10 - 8
y = 2
There were 8 correct answers and 2 incorrect answers.
X- speed of the ship in still water
a- speed of current
(x+a)- speed with current
(x-a) - speed against current
(x+a)*3=72
(x-a)*4=72
x+a=24
<u>+ x-a=18
</u> 2x =42
x = 21
x+a=24, 21+a=24, a=3
The speed of the ship in still water = 21 km/h,
the speed of the current =3 km/h.
The z-score for men at 64 inches is:

Using a standard normal distribution table, we can see that the cumulative probability for a z-score of -1.866 is 0.031.
The answer is 3.1%.
The answer yo your question is 2.41