Answer:
D, 35
Step-by-step explanation:
7b, if b=5, is the same as 7(5), or 7*5, which equals 35.
The standard deviation of a sample is proportional to 1/√N where N is the sample size. In this case we are decreasing N by half, so we can write:
1/√(N/2) = √2 / √N
If we say that our standard deviation is proportional to 1/√N, the difference that occurred from decreasing the sample size by half resulted in an increase in the standard deviation by a factor of √2.
Therefore, the standard deviation is multiplied by √2.
25,000 because anything below 500 is rounded down
Answer:
142° is the measure of angle 2.
Step-by-step explanation:
When two lines intersect, they make four angles. The angles facing each other are equal.
Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.
The measure of angle 3 = 38 degrees.
We know that the angle 1 is against angle 3 and is equal to 38.
Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.
Now, the sum of all four angles = 360 degrees
∠1 + ∠2+ ∠3 + ∠4 = 360°
38° + x + 38° + x = 360°
2x = 360° - 76°
2x = 284°
x = 142°
Hence, ∠2 = 142°
