Answer: C
Step-by-step explanation:
Answer:
q = 
c = 
Step-by-step explanation:
First solve for q:
0.162q + 0.035c = 4
0.162q = 4 - 0.035c (move term to other side)
q = 
(divide both sides by 0.162 to get it away from q)
q = (simplify fraction)
Solve for c:
0.162q + 0.035c = 4
0.035c = 4 - 0.162q (move term to other side)
c = 
(divide both sides by 0.035 to get it away from c)
c = (simplify fraction)
Answer:
The correct option is (D).
Step-by-step explanation:
Percentiles are statistical measures that are used to interpret data. It represents the data value which is more that a specific percentage of the data set.
The <em>n</em>th percentile of a data set is the value that is more that <em>n</em>% of the data set.
⇒ It is provided that a test-taker's score was at the 94th percentile for their verbal grade.
This statement implies that the test taker scored a mark more than 94% of the other test-takers, i.e. he\she performed better than 94% of the other test-takers in the verbal grade.
⇒ Also the test-taker's score was at the 16th percentile for their quantitative grade.
This implies that the test taker scored a mark more than 16% of the other test-takers, i.e. he\she performed better than 16% of the other test-takers in the quantitative grade.
Thus, the correct option is (D).
Answer:
Option B
Step-by-step explanation:
Given that cosθ = 
Since, θ is an angle in quadrant II therefore, cosine value is negative
Now we will find the tangent ratio from the given triangle.
tanθ = 
From the given triangle,
By applying Pythagoras theorem in the given right triangle,
AC² = AB² + BC²
AB² = 10² - 3²
= 100 - 9
= 91
AB = √91
tanθ = 
Now, tanθ = 
Since, θ is in second quadrant therefore, tangent of the angle will be negative.
tanθ = 
Option B is the answer.
