Profit = Income - cost
Profit = 10s - (28 + 3s) = 10s - 28 -3s = 7s - 28.
Profit = 0
0 = 7s - 28
7s = 28
7s = 28/7
s = 4. This is the breakeven point.
Carlota must sell more than 4 shirts to make a profit
1) expand the brackets
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
simplify
-18 - 8x = 14
then add 18 to both sides to get the x's on there own
-8x = 32
then divide by -8
x = 32/-8
x = -4
2) multiply everything by 7x
2 + (6 x 7x) + ( 17x × 7x) = 18 x 7x
2 + 42x + 119x^2 = 126x
put everything on one side
119x^2 - 84x + 2 = 0
then use quadratic equation to solve
x = 0.024671849 or 0.6812105039
Answer:
2.38%
Step-by-step explanation:
Given that:
The population size involving numbers of treated and untreated seeds N = 10
the number of seeds that are treated which are observed = 5
the number of seeds that sprouted 'n' = 4
Now, use the method of hypergeometric probability, we have the formula:
![p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}](https://tex.z-dn.net/?f=p%28y%29%20%3D%20%5Cdfrac%7B%28%5Er_y%29%28%5E%7BN-r%7D_%7Bn-y%7D%29%7D%7B%28%5EN_n%29%7D)
∴
![p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}](https://tex.z-dn.net/?f=p%284%29%20%3D%20%5Cdfrac%7B%28%5E5_4%29%28%5E%7B5%7D_%7B0%7D%29%7D%7B%28%5E%7B10%7D_4%29%7D)
![p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }](https://tex.z-dn.net/?f=p%284%29%20%3D%20%5Cdfrac%7B%5Cdfrac%7B5%21%7D%7B4%21%285-4%29%21%7D%2A%20%5Cdfrac%7B5%21%7D%7B0%21%285-0%29%21%7D%20%20%7D%7B%5Cdfrac%7B10%21%7D%7B4%21%2810-4%29%21%7D%20%7D)
![p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }](https://tex.z-dn.net/?f=p%284%29%20%3D%20%5Cdfrac%7B%5Cdfrac%7B5%21%7D%7B4%21%7D%2A%20%5Cdfrac%7B5%21%7D%7B%285%29%21%7D%20%20%7D%7B%5Cdfrac%7B10%21%7D%7B4%21%286%29%21%7D%20%7D)
![p(4) = \dfrac{5*1 }{210}](https://tex.z-dn.net/?f=p%284%29%20%3D%20%5Cdfrac%7B5%2A1%20%20%7D%7B210%7D)
p(4) = 0.0238
p(4) = 2.38%
Answer:
16 questions answered correctly
Step-by-step explanation:
Since the student answered 80% of the questions correctly, we can find 80% of 20 to answer this question.
[] First we will convert the percent into a decimal format;
80% / 100 = 0.8
[] Then we will multiply this by 20 to find our answer;
20 * 0.8 = 16 questions answered correctly