Since the sample is greater than 10, we can approximate this binomial problem with a normal distribution.
First, calculate the z-score:
z = (x - μ) / σ = (37000 - 36000) / 7000 = 0.143
The probability P(x > 37000$) = 1 - P(<span>x < 37000$),
therefore we need to look up at a normal distribution table in order to find
P(z < 0.143) = 0.55567
And
</span>P(x > 37000$) = 1 - <span>0.55567 = 0.44433
Hence, there is a 44.4% probability that </span><span>the sample mean is greater than $37,000.</span>
Answer:

Step-by-step explanation:
Cosine is the ratio of the side adjacent to the angle and the right triangle hypotenuse.
B =
= 
Answer:
Number line A.
Step-by-step explanation:
The first number line A, represents x > 7, which the unshaded circle starting from 7 and moving to the right.
Number line B represents x < 7 with the direction being to the left (opposite of A).
Number line C is synonymous with A, however the starting point is shaded which represents x ≥ 7
Number line D also follows up from B with D representing x ≤ 7
The answer is 63 units, just add them up.