Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
The two ways to find the ratio of the length is to turn the inches into feet or the feet into inches
So the answer can be solved like this:
1/36ft to 1/4ft which is 9:1 (blueprint size to actual size)
or
1/3in to 3in which is also 9:1 (blueprint size to actual size)
It makes and obtuse right triangle.
Answer:
Step-by-step explanation:
There are an infinite number of these whole numbers. Thus the series goes on without bounds. Whatever very big number you can think of there is another one which is 1 greater.
we are given

it's factor as (x+p)(x+q)
so, we can write as

we can simplify it

now, we can compare both sides
coefficient of x must be equal
so, we get


now, we can look at the table where p+q =3
so, we can see that when p+q=3 .... then p=-2 and q=5
so, option-A.......Answer