Dividing the 2nd equation by 2 gives y=2x + 3 which is the same as the too
p line. any answer to one of them is obviously an answer to the other so there are infinitely many solutions
G=4ca-3ba <=> G=a(4c-3b)
<=> a=G/(4c-3b)
Answer:
5/7
Step-by-step explanation:
Answer:
9.5
Step-by-step explanation:
Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.
Step 1
We find the Mean of the numbers
Mean = Sum of terms/ Number of terms
Mean = 9+12+9+14+6/5
= 50/5
= 10
Step 2
We find the sample variance
Formula =
(x - Mean)²/n - 1
n = 5
= (9 - 10)²+(12 -10)²+(9- 10)²+(14-10)²+(6-10)²/5 - 1
= 1+ 4+ 1+ 16+16/5 - 1
= 38/5 - 1
= 38/4
= 9.5
Therefore, Sample variance = 9.5
You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15
