Answer:
25/36
Step-by-step explanation:
<u>Solved in steps:</u>
- - 2/9 - ( -11/12) =
- - 2/9 + 11/12 =
- - 2*4/9*4 + 11*3/12*3 =
- -8/36 + 33/36 =
- 25/36
Simplest fraction is 25/36
Answer:
5.25 : 1
Step-by-step explanation:
If 84% of the counters are blue, then 16% of the counters are yellow.
percentage of yellow counters = 100% - 84% = 16%
blue counters : yellow counters = 84 : 16 (we don't write %)
Now divide with 16, so the second number becomes 1.
Answer:
or 
Step-by-step explanation:
The question is
Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)
step 1
Find the slope of the given line
we have

isolate the variable y


The slope of the given line is m=-5/8
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
so
The slope of the parallel line to given line is m=-5/8
step 3
Find the equation of the line into slope intercept form
The equation of the line into slope intercept form is equal to

we have
m=-5/8 and point (4,5)
substitute and solve for b



substitute

or

Answer:
0.756
Step-by-step explanation:
It is given that a machine has four components, A, B, C, and D.

If these components set up in such a manner that all four parts must work for the machine to work properly.
We need to find the probability that the machine works properly. It means we have to find the value of
.
If two events X and Y are independent, then

Assume the probability of one part working does not depend on the functionality of any of the other parts.

Substitute the given values.



Therefore, the probability that the machine works properly is 0.756.