Answer:
1 ; 7 /17
Step-by-step explanation:
17 balls numbered 1 through 17
Picking without replacement :
If the second ball picked = 4
P(first ball has a smaller number)
Numbers less Than = (3, 2, 1)
P(number less than second ball Given 4 is drawn for second ball) :
= (3/17 * 1/16) ÷ (3/17 * 1/16) +) 14/17 * 0)
= (3 / 272) / (3 /272) * 0
= 3 / 272 * 272 / 3
= 1
2.)
(8/17 * 7/8) ÷ (8/17 * 7/8) + (9/17 * 1/17)
7/17 ÷ (7 /17) + 10/17
7 /17 ÷ 17/17
7/17 ÷ 1
7 /17
Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
NOTE.- just substitute values and resolve
Answer:
x^6 + 2 x^5 - 6 x^4 + 3 x^2 + 6 x - 18
Step-by-step explanation:
f(x) = x^2 +2x-6
g(x) =x^4+3
We want to find f*g
(f*g)(x) = (x^2 +2x-6)(x^4+3)
Distribute
=x^2*x^4 +3x^2 +2x*x^4 +2x*3 +-6x^4 -6*3
= x^6 +3x^ +2x^5 +2x^3 -6x^4 -18
Combine like terms
=x^6 + 2 x^5 - 6 x^4 + 3 x^2 + 6 x - 18
Answer:
1. 
2. 
3. 
Step-by-step explanation:
Many polynomials can be formulated so that 
, some are as follows:
1.
verification:
meets the condition.
2.
verification:
also meets the condition
3.
verification:
It is also valid.
