Answer:
1. <em>d</em> - 6 ft
where <em>d</em> is the width
2. <em>t</em> + 6 h/week
where <em>t</em> is the amount of time per week Theodore studies
3. <em>t’</em> - 6 a
where <em>t’</em> is Tracy’s age
4. (<em>k</em>/3) - 2
where <em>k</em> is the points that the panthers scored
Step-by-step explanation:
Write the variable and do the operations as described!
“less than” means subtraction, “more […] than” means addition and “one-third of” means division by 3.
Well we can put that word problem into a equation so, 8+x/4=5. Now what I would do is move the 8 to the other side, and since it moved to the other side it becomes a -8 so now we have x/4 = -3. Now I would multiply both side by 4 to get x = -12
Answer= X = -12
Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13
5x + 5y = 10x + y - 13
-5x + 4y = - 13 (1)
The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7 (2)
Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8
From (3), obtain
x = 2*8 - 7 = 9
Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
Answer:
31.77% probability the surgery is successful for exactly five patients.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either the surgery is successful, or it is not. The probability of the surgery being successful for a patient is independent of other patients. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A surgical technique is performed on seven patients.
This means that 
You are told there is a 70% chance of success.
This means that 
Find the probability the surgery is successful for exactly five patients.
This is P(X = 5).
31.77% probability the surgery is successful for exactly five patients.
