Answer:
0.8660254 or √3/2
Step-by-step explanation:
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:
150 cause subtract 150 from 270 you get 150
Answer:
k = -2
Step-by-step explanation:
1. Substitute the point (2,-1) into the given equation 5x+ky=12. The first number is 2, the x-value. The second number is -1, the y-value.
5x + ky = 12
5(2) + k(-1) = 12
2. Simplify
5(2) + k(-1) = 12
10 + (-k) = 12
10 - k = 12
2. Isolate k
10 - k = 12
-k = 12-10
-k = 2 <= here multiply both sides by (-1)
k = -2
