The correct answers are 1. A, 2. C, 3. D, 4. C, 5. A
It is D) 240
Because if you multiply 12 x 10 it equals 120 and then multiply 120 by the two inches and that will equal 240
$29 will be their consumer surplus.
Consumer surplus is the difference between how much a consumer is willing to pay and how much a consumer actually does pay.
$12.00 + $15.00 + $23.00 = $50.00 (How much the consumer actually pays)
$23.00 + $26.00 + $30.00 = $79.00 (How much the consumer is willing to pay)
$79.00 - $50.00 = $29.00 (Consumer surplus)
Answer:
The probability is 0.057797
Step-by-step explanation:
Consider the provided information.
It is given that true percentage of voters who vote for the proposition is 63%,
Let p is probability of success.
According to the binomial distribution:
![P(x;p,n)=^nC_x(p)^x(1-p)^{(n-x)}](https://tex.z-dn.net/?f=P%28x%3Bp%2Cn%29%3D%5EnC_x%28p%29%5Ex%281-p%29%5E%7B%28n-x%29%7D)
Substitute n=7, p=0.63 and x=2 in the above formula.
![P(x;p,n)=^7C_2(0.63)^2(1-0.63)^{(7-2)}](https://tex.z-dn.net/?f=P%28x%3Bp%2Cn%29%3D%5E7C_2%280.63%29%5E2%281-0.63%29%5E%7B%287-2%29%7D)
![P(x;p,n)=\frac{7!}{2!5!}(0.3969)(0.37)^{5}\\P(x;p,n)=21(0.3969)(0.37)^{5}\\P(x;p,n)=0.0577974947199\\P(x;p,n)\approx0.057797](https://tex.z-dn.net/?f=P%28x%3Bp%2Cn%29%3D%5Cfrac%7B7%21%7D%7B2%215%21%7D%280.3969%29%280.37%29%5E%7B5%7D%5C%5CP%28x%3Bp%2Cn%29%3D21%280.3969%29%280.37%29%5E%7B5%7D%5C%5CP%28x%3Bp%2Cn%29%3D0.0577974947199%5C%5CP%28x%3Bp%2Cn%29%5Capprox0.057797)
Hence, the probability is 0.057797