Answer:
y = 1/2x -4
Step-by-step explanation:
Subtract 1 from both sides of the equation and simplify.
y = 1/2(x -6) -1
y = 1/2x -3 -1
y = 1/2x -4
Answer:
x = 7.9
Step-by-step explanation:
-2.3x + 4.2x = 15.01
combine like terms
1.9x = 15.01
divide both sides by 1.9
x = 7.9
Answer:
The 95% confidence interval of the true proportion of men who enjoy watching sports more than movies is (0.4912, 0.7888).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
![n = 40, p =0.64](https://tex.z-dn.net/?f=n%20%3D%2040%2C%20p%20%3D0.64)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 1.96\sqrt{\frac{0.64*0.36}{40}} = 0.4912](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.64%20-%201.96%5Csqrt%7B%5Cfrac%7B0.64%2A0.36%7D%7B40%7D%7D%20%3D%200.4912)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 1.96\sqrt{\frac{0.64*0.36}{40}} = 0.7888](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.64%20%2B%201.96%5Csqrt%7B%5Cfrac%7B0.64%2A0.36%7D%7B40%7D%7D%20%3D%200.7888)
The 95% confidence interval of the true proportion of men who enjoy watching sports more than movies is (0.4912, 0.7888).
Answer:
Y= X - 4
Step-by-step explanation:
X = mondays temp
Y = tuesdays temp
Answer:
25.987957
Step-by-step explanation: