Answer:

The sequence is a geometric sequence.
Step-by-step explanation:
The number of leaves in the tree in the first year is 500.
And the number of leaves in the tree in the second year increases by 40% of the number in the first year.
So, it will be 
Again, the number of leaves in the tree in the third year increases by 40% of the number in the second year and so on.
Therefore, the number of leaves in the tree in the third year will be
and so on.
If we want to calculate the number of leaves in the tree in the nth year by f(n) then it will be given by
Therefore, the sequence is a geometric sequence. (Answer)
Answer:
1) 

2) 

3) 

And for the new yield we need to take in count the increase of 15% for the area and we got this:


4)
=0.0426 defects/cm^2
=0.0260defects/cm^2
Step-by-step explanation:
Part 1
For this part first we need to find the die areas with the following formula:



Now we can use the yield equation given by:

And replacing we got:


Part 2
For this part we can use the formula for cost per die like this:

And replacing we got:


Part 3
For this case we just need to calculate the new area and the new yield with the same formulas for part a, adn we got:


And for the new yield we need to take in count the increase of 15% for the area and we got this:


Part 4
First we can convert the area to cm^2 and we got 2 cm^2 the yield would be on this case given by:

And if we solve for the Defect rate we got:

Now we can find the previous and new defect rate like this:
=0.0426 defects/cm^2
And for the new defect rate we got:
=0.0260defects/cm^2
Answer:
c. 2
Step-by-step explanation:
Given : X = No. of hours worked
No. of people work for the manager = 50
X = 3, 4 , 5 , 6 , 7, 8
P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06
To Find : No. of people work for four hours
Solution : First understand the fact that sum of all probabilities is equal to 1
So, sum of all values of P(X) = 1
⇒
⇒
⇒
⇒
So, the probability of no. of people worked for 4 hours is 0.04.
⇒P(4)=0.04
Thus , To calculate no. of people work for four hours :

⇒ 2 no. of people work for four hours per shift .
A straight line (180o) is still an angle. Would you be wondering if the question said "Can 179o be a real angle?" No you would simply draw it. 1 degree more and you have 180o and it is an angle as well.
So you have a line that is both a line and an angle with A in the middle.
Answer:
The y-intercept is 3000. The slope is -275. Therefore, your equation in slope intercept form is y = -275x +3000.
Step-by-step explanation:
Y intercept is found where x = 0 or on the y axis, so the only place on this graph where x = 0 and there is a number on the y axis is at (0, 3000), making 3000 your y intercept. The slope is figured from two points, and taking y2-y1/x2-x1. This would give you 3000-2450/2-0 which is -550/2 which is -275. That's your slope. Slope intercept form is y = mx+b, where m is the slope and b is the y intercept. Just plug in, and you get y = -275x+3000