Answer:
C
Step-by-step explanation:
4x+3y=-24
eq. of any line perpendicular to given line is
3x-4y=a
4y=3x-a
y=3/4x -a/4
where a is an arbitrary constant.
Answer:
y=6x+20
Step-by-step explanation:
Answer:
Test Statistic = 10
Critical Value = 9.488
Step-by-step explanation:
Given :
Grade A _ B _ C _ D _ F
_____14 _ 18 _32_ 20_16
H0 : distribution of grade is uniform
H1 : Distribution of grade is not uniform
Using the Chisquare statistic :
χ² = (observed - Expected)² / Expected
The expected value :
(14+18+32+20+16) / 5 = 20
χ² = (14-20)^2 / 20 + (18-20)^2 / 20 + (32-20)^2 / 20 + (20-20)^2 / 20 + (16-20)^2 / 20
χ² statistic = 10
The χ² critical at df = (n - 1) = 5 - 1 = 4
χ² Critical(10, 4) = 9.488
Answer:
Step-by-step explanation:Let a be the length of line
from question we know that
a+3 is another line
Here
a+(a+3)=15. ( Given in question )
2a = 15 -3
2a=12
a=12/2
a=6
Here a and a +3 are the length of the line
Finally ,6 and 9 are the lengths
Answer:
Step-by-step explanation:
Given the geometric series:
To find:
Sum of series upto 5 terms using the geometric series formula = ?
Solution:
Formula for sum of a n terms of a geometric series is given as:
is the first term of the geometric series
is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).
Here:
So, applying the formula for given values:
So, the answer is
