The answef is 1.83 because if you notice all of them are being divided by 38your answer is 16.5 because youre dividing all dog food in cups by wet food 3 times like 4.5/3 is 1.5 and so on
Answer:
C. 108
Step-by-step explanation:
The angles are known as same-side interior angles. They are supplementary angles so their sum is 180°.
![y+72=180\\y+72-72=180-72\\y=108](https://tex.z-dn.net/?f=y%2B72%3D180%5C%5Cy%2B72-72%3D180-72%5C%5Cy%3D108)
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
![P(X\geq 4) = P(X=4)+P(X=5)+P(X=6)=\binom{6}{4}0.2^{4}(0.8)^{6-4}+\binom{6}{5}0.2^{5}(0.8)^{6-5}+\binom{6}{6}0.2^{6}(0.8)^{6-6}= 0.01696](https://tex.z-dn.net/?f=P%28X%5Cgeq%204%29%20%3D%20P%28X%3D4%29%2BP%28X%3D5%29%2BP%28X%3D6%29%3D%5Cbinom%7B6%7D%7B4%7D0.2%5E%7B4%7D%280.8%29%5E%7B6-4%7D%2B%5Cbinom%7B6%7D%7B5%7D0.2%5E%7B5%7D%280.8%29%5E%7B6-5%7D%2B%5Cbinom%7B6%7D%7B6%7D0.2%5E%7B6%7D%280.8%29%5E%7B6-6%7D%3D%200.01696%20)
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 ![6\cdot 0.2 = 1.2](https://tex.z-dn.net/?f=6%5Ccdot%200.2%20%3D%201.2)
So
1/2x+2=2/3x
convert to common fraction
1/2=3/6
2/3=4/6
3/6x+2=4/6x
subtract 3/6x from both sides
2=1/6x
multiply boh tisdes by 6
12=x
the tank can hold 12 gallon
Answer:
-9
Step-by-step explanation:
-9+6=-3