Answer:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable, 
"Comprehensive strength of concrete". We have information that 
is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, 
.
We want to know the probability of the mean of X or 
that falls in the interval ![[2499;2510]](https://tex.z-dn.net/?f=%5B2499%3B2510%5D)
. From inference theory we know that :
Now we can find the probability as follows:
Where 
, then:
Answer:
Step-by-step explanation:
(-8,1) is ⊥ to y=2x-17
from y=mx+c
comparing with
y=2x-17
m₁₌2
for perpendicularity m₂=-1/m₁
m₂₌-1/2
equation of a line with one point y-y₁/x-x₁=m
(-8,1) are x₁ and y₁ respectively
y-1/x-(-8)=-1/2
y-1/x+8=-1/2
cross multiply
2(y-1)=-1(x+8)
2y-2=-x-8
2y=-x-8+2
2y=-x-6
divide both side by 2
y=-1/2x-3
Answer:
26 mm
Step-by-step explanation:
