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:
4
Step-by-step explanation:
because The square root of 16 is 4, which is a rational number.
Answer:
23.24 feet
Step-by-step explanation:
Use the pythagorean theorem: a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.
In this situation, the ladder is the hypotenuse of the triangle, and the distance from the base of the building is the long leg.
Plug in the ladder length as c and plug in the distance from the base of the building as a:
a² + b² = c²
(6²) + b² = (24)²
36 + b² = 576
b² = 540
b = 23.24
So, the ladder reaches approximately 23.24 feet up the wall
Answer: See attached images
Step-by-step explanation:
For third period:
Minimum = 67
1st Quartile: 79.5
Median/2nd Quartile: 85
3rd Quartile: 90.5
Maximum = 99
I've attached the image for this class's box plot.
For Sixth Period:
Minimum = 70
1st Quartile: 79.5
Median/2nd Quartile: 88
3rd Quartile: 90.5
Maximum = 95
I've also attached the image for this class's box plot
