Answer:
5y = -2x + 31
Step-by-step explanation:
Given equation:
y = 
Coordinate = (-7,9)
Unknown:
Equation of the line perpendicular = ?
Solution:
The slope - intercept format of a line is given as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
y = 
From the given equation; slope is 
A line perpendicular will have a slope that is negative and the inverse of this;
slope of perpendicular line = 
Since y= 9 and x = -7;
So;
9 =
+ C
9 =
+ C
C = 9 -
= 
Now,
y =
x + 
mulitply through by 5;
5y = -2x + 31
Answer:
4th option
Step-by-step explanation:
angle CBE and Angle EBG
Answer:
8(x+8)
Step-by-step explanation:
Answer:
p value from chi square = 0.081
Step-by-step explanation:
Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05
p value = 0.09
Instead of this if we do chi square
H0: Proportion of music lovers is 5% and non music lovers is 95%
Ha: Proportions are not as per the estimate
(Two tailed chi square test)
Observed 83 1917 2000
Expected 100 1900 2000
O-E -17 17 0
chi square
(O-E)^2/E 2.89 0.1521 3.0421
df =1
p value from chi square = 0.081
Though p value is not exactly the same, the conclusion in both tests are the same
Answer:
The answer is 11,374
Step-by-step explanation:
First we find 5% of 9,400 is.
9,400 * 5% = 470
Next we add 9,400 with 470 then multiply by 20%
9,400 + 470 = 9,870
9,870 * 20% = 1974
Next we add.
9,870 + 1,974 = 11,374
So, the answer is 11,374
Hope this helps! :)