Hi,
The answer is c.
Answered by Britton have a nice day:)
Answer:
Answer is 28/4 = 7
Step-by-step explanation:
Given
Beth B = 28 problem
B has 4 times more problem than Mery m
Find
Total number of problem Mery m has if Beth has 4 times more problem than Beth
So,
B = 4 x m
m = B/4 = 28/4 = 7
Finally answer (d) is correct which is 28 ÷ 4 = m
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
Answer:
![\Huge \boxed{\mathrm{-1.875 \ and \ 2.125}}](https://tex.z-dn.net/?f=%5CHuge%20%5Cboxed%7B%5Cmathrm%7B-1.875%20%5C%20and%20%5C%202.125%7D%7D)
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Step-by-step explanation:
Eighths is 1/8 or 0.125.
Two units of distance from 0.125 can be :
![0.125-2=-1.875 \\\\\\ 0.125+2=2.125](https://tex.z-dn.net/?f=0.125-2%3D-1.875%20%5C%5C%5C%5C%5C%5C%200.125%2B2%3D2.125)
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)