Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:
<em>add 9 to both sides</em>
<em>divide both sides by 2</em>
Parallel lines have the same slope. Therefore we have the equation:
Put the coordinates of the point (4, -4) to the equation:
<em>subtract 14 from both sides</em>
Finally we have the equation:
280 because 28 *10 is 280.
Answer:
No correlation
Step-by-step explanation:
There is not a positive line of dots
There is not a negative line of dots
so that means there is no correlation
Step-by-step explanation:
Mean = 81740
Standard deviation = 4590
Sample size = 15
Alpha level = 1-0.95 = 0.05
Df = 15-1 = 14
Critical value:
alpha/2 = 0.05/2 = 0.05
t0.025
t critical value = 2.145
Margin of error ME
2.145 x 4590/√15
2.145 x 4590/3.873
ME = 2542.09
Confidence interval
Lower CI = mean - ME
= 81740-2542.09
= 79197.91
Upper CI = mean + ME
= 81740+2542.09
= 84282.09
[ 79197.91, 84282.09]
B.
Using excel, exact answer for CI
Lower limit = 79198.142724212173
Upper limit = 84281.8572757827
C.
The assumptions to be made from the population are that
1. Samples are random
2. These samples are gotten from an approximately normal distribution
<em><u>Solution</u></em><em><u> </u></em><em><u>1</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
Statement : corresponding angles in similar triangles must be congruent .
Answer : True
<em><u>Solution</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
Statement : The hypotenuse of a right angle triangle has to be opposite of 90 degree .
Answer : True
Reason : We know that the side opposite to largest angle in a triangle is largest . Since in a right angle triangle 90 degree is the largest angle and hypotenuse is the longest side therefore they must be opposite to each other .
