First find how much she makes per day for the 16 pages. Then divide it by the amount of hours she works to find her hourly average. So I guess you can use all these proportions.
Answer:
The values of x and y that satisfy the equation are 2 and 2, respectively.
Step-by-step explanation:
Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:
Real component
(1)
Imaginary component
(2)
The solution of this system of equations is 
and 
.
The values of x and y that satisfy the equation are 2 and 2, respectively.
Answer: 64 %
Step-by-step explanation:
Assume attendance last year to be equal to "x"
- An increase in percentage sees us add the percentage amount to 100.
- A decrease in percentage sees us subtract the percentage amount from 100.
Projected attendance = ((100+25)/100) * x = 1.25x
Actual attendance = ((100-20)/100) * x = 0.80x
Hence ratio of a actual to projected attendance = 0.80x/1.25x = 0.64
Convert into percentage = 0.64 * 100 = 64 %
Answer:
3x³ - 14x² - 7x + d = (x + 1)(ax² + bx + c)
--------------------------
(x + 1)(ax² + bx + c)
= ax³ + bx² + cx + ax² + bx + c
= ax³ + (a + b)x² + (b + c)x + c
--------------------------
ax³ + (a + b)x² + (b + c)x + c = 3x³ - 14x² - 7x + d
=> a = 3
a + b = -14
b + c = -7
c = d
=> a = 3, b = -17, c = 10, d = 10
1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
P(x)=80/200
P(x)=0.4
3. This problem can be represented by a binomial distribution, where:
P=0.4
q=1-P=0.6
n=50
4. The expect value in a binomial function is written as below:
E(x)=nxP
E(x)=50x0.4
E(x)=20
The answer is: He can expect 20 zucchini.
