75-31= 44
44/75= 0.58666 or 58.7%
Subtract 31 from 75 since we're figuring out greater than or "equal to" we want to include the number 32 in our equation. If it was only "greater than" 32 then we'd subtract 32 from 75. Then you divide that number(44) by 75, which is all the possible outcomes you could have in this scenario. Move the decimal two places to the right to make it a percentage and you've got your answer.
now heres a step by step explanation Step-by-step explanation: your welcome
Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²
Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.
A'(x)=3000-18X
Set derivative equal to 0
0=3000-18X
166.6666666=X
Now test the intervals
(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -
Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5
Answer:
X= 166.6666666666
Y=5
Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
13*18
x*y =234
x+y=31
we know the 2 # have to be double digits and both between 10-20
find 2 values that * to a number that ends in 4. Those are the ones value
1*4 11 and 14
2*2 12 and 12
3*8 13 and 18
only 13 and 18 add up to 31 and multiply to 234
First we find the sum of all values using the mean formula.
Then we subtract the value 70 from the total sum to get the sum of the values without 70 (in order to compute the mean of these values)
Then we compute the mean.
If you have any additional questions ask.
