Answer: Choice A) ![\sqrt{34}](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D)
Work Shown:
Use the distance formula
Points are (x1,y1) = (-4,3) and (x2,y2) = (-7,-2)
d = distance between the two points
![d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-(-7))^2 + (3-(-2))^2}\\\\d = \sqrt{(-4+7)^2 + (3+2)^2}\\\\d = \sqrt{(3)^2 + (5)^2}\\\\d = \sqrt{9 + 25}\\\\d = \sqrt{34}\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%28-4-%28-7%29%29%5E2%20%2B%20%283-%28-2%29%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%28-4%2B7%29%5E2%20%2B%20%283%2B2%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%283%29%5E2%20%2B%20%285%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B9%20%2B%2025%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B34%7D%5C%5C%5C%5C)
Extra info: ![\sqrt{34} \approx 5.83](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D%20%5Capprox%205.83)
Answer:
option c
Step-by-step explanation:
edge 2021
Answer:
![\mu_{p}=p=0.81](https://tex.z-dn.net/?f=%5Cmu_%7Bp%7D%3Dp%3D0.81)
Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
![p \sim N(p,\sqrt{\frac{p(1-p)}{n}})](https://tex.z-dn.net/?f=p%20%5Csim%20N%28p%2C%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%29)
So under the null hypothesis the mean for the population proportion is p
![\mu_{p}=p=0.81](https://tex.z-dn.net/?f=%5Cmu_%7Bp%7D%3Dp%3D0.81)
And the standard deviationis given by:
![\sigma_{p}=\sqrt{\frac{p_0(1-p_o)}{n}}=\sqrt{\frac{0.81(1-0.81)}{1000}}=0.0124](https://tex.z-dn.net/?f=%5Csigma_%7Bp%7D%3D%5Csqrt%7B%5Cfrac%7Bp_0%281-p_o%29%7D%7Bn%7D%7D%3D%5Csqrt%7B%5Cfrac%7B0.81%281-0.81%29%7D%7B1000%7D%7D%3D0.0124)
Answer:
log 7
Step-by-step explanation:
![log (a)+log6=log(ab)\\\\](https://tex.z-dn.net/?f=log%20%28a%29%2Blog6%3Dlog%28ab%29%5C%5C%5C%5C)
![log(c)-log(d)=log(c/d)](https://tex.z-dn.net/?f=log%28c%29-log%28d%29%3Dlog%28c%2Fd%29)
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hope it helps...
have a great day!!