Answer:
81.85%
Step-by-step explanation:
We have the following information:
mean = m = 52000
standard deviation = sd = 12000
a = 40000
b = 76000
we need to find the probability between a and b, that is:
P (a <x <b) = P (40,000 <x <76000)
P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]
replacing
P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]
P (-1 <z <2)
P (z <= -1) - P (z <= 2)
We look for this value of z, in the attached table:
0.9772 - 0.1587
P = 0.8185
In other words, the probability is 81.85%
Answer:
Step-by-step explanation:
Conditions
- A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
- The diameter meets the sidewalk at the sidewalk's midpoint.
- The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
- The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
- If all these conditions are met, the relationship between the four lines is
Equation
48/12 = x^2
Solution
4 = x^2
sqrt(x^2) = sqrt(4)
x = 2
The length of the sidewalk is 4. Why is it doubled.
Because there are 2 xs of equal length
Y=-1/2x+8
perpendicular means slope is opposite reciprocal so it would be -1/2
y=-1/2x+b
Plug in points and solve for b
B=8
Well let's see.
The equation has exactly one solution.
Hope this helps.
