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>
1st) reflection over the point G
2nd) a dilation of 1/2 with fixed point G
3rd) a traslation 2 units left and 4 units up
Answer:
Step-by-step explanation:
<u>Midpoint of JK:</u>
- x = (-12 + 8)/2 = -4/2 = -2
- y = (3 - 5)/2 = -2/2 = -1
<u>Slope of the line JK:</u>
- m = (-5 - 3)/(8 - (-12)) = -8/20 = -2/5
Perpendicular lines have negative reciprocal slopes.
So the line r has a slope 5/2 and passes through the point (-2, -1)
<u>Equation of r:</u>
- y = 5/2x + b
- -1 = 5/2(-2) + b
- -1 = -5 + b
- b = 5 - 1
- b = 4
<u>So the equation is:</u>
Answer:
5.55
is already rounded to the nearest thousandth.
Step-by-step explanation:
