Answer:
The number is 
Step-by-step explanation:
Denote the original number by z. The expression "Four less than nine times a number is one hundred twenty-two" can be rewritten in an equation.
Our number is z, then the left hand side of the equation is 9z-4.
The right side of the equation is 122. Then the complete equation is 
. Add 4 in both sides to get 
. Now, divide by 9 in both sides to get 
Answer:
product A on machine 1 would make 27 units (rounded down) 81 dollars profit.
product A on machine 2 would make 25 units (rounded down) 75 dollars profit.
product b on machine 1 would make 15 units (rounded down) 75 dollars profit.
product b on machine 2 would make 16 units (rounded down) 80 dollars profit.
Step-by-step explanation:
a1 refers to product a on machine 1
a2 refers to product a on machine 2
same rule applies for product b 1 and 2
This would be a binomial model, since there is a fixed number of trials, the probabilities are independent and there are only two choices (either the shot is made or missed).
What I understand from the picture given, she had 2 ribbons with the length of 1/4.
These would be the two shortest ones.
So: 1/4 + 1/4 = 2/4
= 1/2
I hope this helps and I know that it is different to what HimyBrainy put but it is what I understood! :/
Answer:
Rounded to the nearest tenth, the length of the missing side is 5.4 in.
Step-by-step explanation:
According to the Pythagorean theorem, 
, where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):
This simplifies to 
. Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:
This simplifies to c≈5.4 in.
