15x+25y=1875
Let
y=95-x
15x+25 (95-x)=1875
Solve for x
15x+2375-25x=1875
15x-25x=1875-2375
-10x=-500
X=500/10
X=50 the number of $15 items
Y=95-50=45 the number of $25 items
Answer:
<u>42 Hours.</u>
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.
Answer:

Step-by-step explanation:
For the random variable
we define the possible values for this variable on this case
. We know that we have 2 defective transistors so then we have 5C2 (where C means combinatory) ways to select or permute the transistors in order to detect the first defective:

We want the first detective transistor on the ath place, so then the first a-1 places are non defective transistors, so then we can define the probability for the random variable
like this:

For the distribution of
we need to take in count that we are finding a conditional distribution.
given
, for this case we see that
, so then exist
ways to reorder the remaining transistors. And if we want b additional steps to obtain a second defective transistor we have the following probability defined:

And if we want to find the joint probability we just need to do this:

And if we multiply the probabilities founded we got:

Before I answer the question i am going to start with the blue Marble you would have a 1/8 chance of drawing the blue marble from the box and after that you would have a 3/7 of drawing a white marble because you did not replace the blue marble and I hope this help.
I'm sorry I do not know how to set up the equation but I do know it's 17 hours because 7(30)= 210 and 10(20)= 200 and 200+210=410