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:
<h2>
∠PZQ = 63°</h2>
Step-by-step explanation:
If point P is the interior of ∠OZQ , then the mathematical operation is true;
∠OZP + ∠PZQ = ∠OZQ
Given parameters
∠OZQ = 125°
∠OZP = 62°
Required
∠PZQ
TO get ∠PZQ, we will substitute the given parameters into the expression above as shown
∠OZP + ∠PZQ = ∠OZQ
62° + ∠PZQ = 125°
subtract 62° from both sides
62° + ∠PZQ - 62° = 125° - 62°
∠PZQ = 125° - 62°
∠PZQ = 63°
<em>Hence the value of ∠PZQ is 63°</em>
Answer:
y - 3 = 2(x + 1)
y - 3 = 2x + 2
y = 2x + 5
Step-by-step explanation:
Answer: the answer is 4
Step-by-step explanation:
2/3 / 1/6
change the places of 1/6 to 6/1
2/3 / 6/1
the division sign changes to multiplication
2/3 * 6/1
cancel out the 3 and 6 to give
2/1 * 2/1
=4
Its -4. Here's why:
<span>Move all terms containing x to the left. All other terms to the right.
Divide each side by 6
x = -4</span>
