A True
Congruent means to have the same shape and size or when we can cut them out and then match them up completely.
It's one solution.
no matter how you solve it, it will equal j = 1.
B..............
c>=3 and n<0 and p<=(9-3 c)/n
Answer: (0.8115, 0.8645)
Step-by-step explanation:
Let p be the proportion of people who leave one space after a period.
Given: Sample size : n= 525
Number of people responded that they leave one space. =440
i.e. sample proportion: ![\hat{p}=\dfrac{440}{525}\approx0.838](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B440%7D%7B525%7D%5Capprox0.838)
z-score for 90% confidence level : 1.645
Formula to find the confidence interval :
![\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z%5E%2A%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
![0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)](https://tex.z-dn.net/?f=0.838%5Cpm%20%281.645%29%5Csqrt%7B%5Cdfrac%7B0.838%281-0.838%29%7D%7B525%7D%7D%5C%5C%5C%5C%3D0.838%5Cpm%20%281.645%29%5Csqrt%7B0.00025858285%7D%5C%5C%5C%5C%3D0.838%5Cpm%20%281.645%29%280.01608%29%5C%5C%5C%5C%3D%200.838%5Cpm0.0265%5C%5C%5C%5C%3D%280.838-0.0265%2C%5C%200.838%2B0.0265%29%5C%5C%5C%5C%3D%280.8115%2C%5C%200.8645%29)
Hence, a 90% confidence interval for the proportion of people who leave one space after a period: (0.8115, 0.8645)
Answer:
A, C
Step-by-step explanation:
When you put the equation y = x -12 into a TI-84 calculator (because it has graph) and go to the table you can see that B,D,E don’t have the same y-axis even though their x-axis is the same but the y-axis isn’t, therefor A and C is the correct answer.
Sorry not the best explanation but I hope it helps