Answer:
The standard deviation of the sample mean is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
The sample size is 
Generally the standard deviation of the sample mean is mathematically represented as
substituting values
Answer:
Option C: n = 32; p^ = 0.4
Step-by-step explanation:
The normal curve can be used in this case if; np ≥ 10 or n(1 - p) ≥ 10
A) For n = 28 and p = 0.3;
np = 28 × 0.3 = 8.4 < 10
Thus, it can't be used.
B) For n = 28 and p = 0.9;
np = 28 × 0.9 = 25.2 > 10 Ok
n(1 - p) = 28(1 - 0.9) = 2.8 Not Ok
Thus, it can't be used
C) For n = 32 and p = 0.4
np = 32 × 0.4 = 12.8 > 10 Ok
n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok
Thus, it can be used
D) For n = 32 and p = 0.2
np = 32 × 0.2 = 6.4 < 10 Not Ok
Thus it can't be used.
8
This is actually fairly simple. If you take the x-1 and set it equal to 0 you get 1. And if you plug that value into the x you get 8, which is the remainder. This is called the remainder value theorem.
Answer:
whats the other angle
Step-by-step explanation:
Answer: We are missing some data here, but it appears to be a right triangle question. Assuming that triangle ABC is a right triangle, the measure of angle B would be about 63.26 degrees.
If you draw a right triangle ABC with the given information, you will see that we have an adjacent side and hypotenuse with regard to angle B.
Therefore, we can write and solve the following cosine ratio.
cos(B) = 9/20
B = 63.26 degrees
