X=cost per hamburgurs
y=cost per hot dog
200x+150y=1450
200x+250y=1750
we can multiply first equation by -1 and add to 2nd
-200x-150y=-1450
<u>200x+250y=1750 +</u>
0x+100y=300
100y=300
divide both sides by 100
y=3
sub back
200x+150y=1450
200x+150(3)=1450
200x+450=1450
minus 450 both sides
200x=1000
divide both sides by 200
x=5
the cost of a hamburgur is $5
the cost of a hot dog is $3
Answer:
![v\sqrt[28]{v^{13}}](https://tex.z-dn.net/?f=v%5Csqrt%5B28%5D%7Bv%5E%7B13%7D%7D)
Step-by-step explanation:
The exponent rules that apply are ...
![(a^b)(a^c)=a^{b+c}\\\\a^{\frac{b}{c}}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=%28a%5Eb%29%28a%5Ec%29%3Da%5E%7Bb%2Bc%7D%5C%5C%5C%5Ca%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D)
Using these rules for your product, we have ...
![v^{\frac{3}{4}}\times v^{\frac{5}{7}}=v^{\frac{3}{4}+\frac{5}{7}}\\\\=v^{\frac{41}{28}}=v\cdot v^{\frac{13}{28}}=v\sqrt[28]{v^{13}}](https://tex.z-dn.net/?f=v%5E%7B%5Cfrac%7B3%7D%7B4%7D%7D%5Ctimes%20v%5E%7B%5Cfrac%7B5%7D%7B7%7D%7D%3Dv%5E%7B%5Cfrac%7B3%7D%7B4%7D%2B%5Cfrac%7B5%7D%7B7%7D%7D%5C%5C%5C%5C%3Dv%5E%7B%5Cfrac%7B41%7D%7B28%7D%7D%3Dv%5Ccdot%20v%5E%7B%5Cfrac%7B13%7D%7B28%7D%7D%3Dv%5Csqrt%5B28%5D%7Bv%5E%7B13%7D%7D)
Hello there! Point E and Point F are in the second quadrant.
The second quadrant is the first quadrant you see (upper right, see image attached for all quadrants). In this quadrant, you can see the points E and F. These are your correct answers.
I hope this helps and have a great day!
Answer:
a) p=0.2
b) probability of passing is 0.01696
.
c) The expected value of correct questions is 1.2
Step-by-step explanation:
a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.
b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6
.
Recall that
In this case, the student passes if X is at least four correct questions, then

c)The expected value of a binomial random variable with parameters n and p is
. IN our case, n=6 and p =0.2. Then the expected value of correct answers is 
Answer:
(2, 1).
Step-by-step explanation:
f(x)=2x^2-8x+9
Find -b/2a first, it's -(-8)/2(2)=8/4=2.
Then find the y-coordinate of the vertex.
2(2)^2-8(2)+9=2(4)-16+9=8-16+9=-8+9=1