Answer:
Step-by-step explanation:
1. given
2. A bisected angle forms 2 congruent angles
3.given
4.reflexive propriety
5. ASA theorem
Answer:
The sample proportion represents a statistically significant difference from 50%
Step-by-step explanation:
Null hypothesis: The sample proportion is the same as 50%
Alternate hypothesis: The sample proportion is not the same as 50%
z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]
p' is sample proportion = 289/400 = 0.7225
p is population proportion = 50% = 0.5
n is number of students sampled = 400
z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9
The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.
Conclusion:
Reject the null hypothesis because the test statistic 8.9 falls outside the region bounded by the critical values -2.576 and 2.576.
There is sufficient evidence to conclude that the sample proportion represents a statistically significant difference from 50%.
First, find the gradient/slope:
Use slope formula:
m=(y2-y1)/(x2-x1)
=(11-5)/(3-1)
=6/2
=3
Then use the line equation formula:
y=mx+c
You can substitute (1,5) if you like, also must substitute the slope as well!
5=3x1+c
c=2
Then find the full equation, which gives you the answer:
y=3x+2
A line contains the points (82,−96) and (87,−86)
To find slope of a line we use formula
We are given with two points (x1,y1) and (x2,y2)
x1= 82, y1=-96, x2=87, y2=-86
plug in all the values in the formula



Slope of the line = 2
Find the scale used on the width:
New width / old width = 9/4 = 2.25
Multiply the original height by the scale:
6 x 2.25 = 13.5
Answer: 13.5 inches