Answer:
x = 7 times the square root of 3
y = 14
Step-by-step explanation:
If we write the first integer as the variable n, all numbers that come after it can be written as n+1, n+2, etc.
so the sum of four consecutive integers is:
sum = n + (n+1) + (n+2) + (n+3)
if we simplify:
sum = 4n +6
and if we want to know what the first integer is, we can re-write the equation as:
= n
and that is your answer.
Answer:
Add image pls ill go check ur prf once you add it with the pic just tell me when you do it if you can.
Answer:
(a) The confidence interval is 0.5321<π<0.6679
(b) It can be said, with more than 95% certainty, that the majority of the taxpayers feel that the taxes are too high.
Step-by-step explanation:
First, we calculate the proportion p
![p=120/200=0.6](https://tex.z-dn.net/?f=p%3D120%2F200%3D0.6)
For a 95% confidence interval, z-score is 1.96.
The lower and upper limit of the confidence interval can be calculated as
![LL = p-z*\sigma_{p}=p-z*\sqrt{\frac{p(1-p)}{N} } \\LL=0.6-1.96*\sqrt{\frac{0.6*0.4}{200} }=0.6 - 1.96*0.0346=0.6-0.0679=0.5321\\\\UL=p+z*\sigma_{p}=p+z*\sqrt{\frac{p(1-p)}{N} } \\UL=0.6+0.0679=0.6679](https://tex.z-dn.net/?f=LL%20%3D%20p-z%2A%5Csigma_%7Bp%7D%3Dp-z%2A%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7BN%7D%20%7D%20%5C%5CLL%3D0.6-1.96%2A%5Csqrt%7B%5Cfrac%7B0.6%2A0.4%7D%7B200%7D%20%7D%3D0.6%20-%201.96%2A0.0346%3D0.6-0.0679%3D0.5321%5C%5C%5C%5CUL%3Dp%2Bz%2A%5Csigma_%7Bp%7D%3Dp%2Bz%2A%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7BN%7D%20%7D%20%5C%5CUL%3D0.6%2B0.0679%3D0.6679)
The confidence interval is 0.5321<π<0.6679
(b) The lower limit is above 53%, so it can be concluded that the majority of the taxpayers feel that the taxes are too high.