Answer:
768
Step-by-step explanation:
Given that:
Error margin (E) = 5% = 0.05
Confidence level = 95%
Proportion p = 0.5 (since no prior value is given) ; also n1 = n2 = sample size
n = (Z / E)^2 * (1 - p)
1 - p = 1 - 0.5 = 0.5
Zscore at 95% confidence = 1.96
n = (1.96 / 0.05)^2 * 0.5
n = 39.2^2 * 0.5
n = 1536.64 * 0.5
n = 768.32
Hence, sample size = 768 SAMPLES
Complementary angles - the sum of two angles equals 90 degrees
Exterior angle theorem- the sum of the remote interior angles of a triangle equals the outside angle
Isosceles triangle- has two equal sides and two equal angles
Supplementary angle- the sum of two angles equals 180 degrees
Triangle sum theorem- the sum of of interior angles equal 180
Vertical angles- congruent angles that are opposite of each other.
Answer:
The combined standard deviation is 1.58114.
Step-by-step explanation:
The formula to compute the combined standard deviations of two different data sets is:
Here 
is the combined mean given by:
It is provided that the sample size is same for both the data sets, i.e.
Compute the combined mean as follows:
Compute the combined standard deviation as follows:
Thus, the combined standard deviation is 1.58114.
Answer:
48
Step-by-step explanation:
We are asked that the value of (4n + 7) will be an integer > 1 and < 200, for how many integer values of n.
So, equating (4n + 7) with 200 we can get the value.
4n + 7 = 200
⇒ 4n = 193
⇒ n = 48.25
Hence, the value of n will be the largest integer less than 48.25.
Therefore, the number of integer values of n will be 48. (Answer)
