Answer:
2.7 million euros per month
Step-by-step explanation:
Since the room is a rectangular prism, we find the area of the room without its top and bottom, which is the area of the walls, A. So,
A = 2(lh + wh) = 2h(l + w) where l = length of room = 50 m, w = width of room = 40 m and h = height of room = 75 m
Substituting the values of the variables into A, we have
A = 2h(l + w)
= 2(75 m)(50 m + 40 m)
= 150 m × 90 m
= 13500 m²
= 13500 × 1m²
= 13500 × 10000 cm²
= 135000000 cm²
= 1.35 × 10⁸ cm²
Now, since 50 cm² of space = 1 Euro per month, then 1.35 × 10⁸ cm²
= 1.35 × 10⁸ cm² × 1 Euro per month/50 cm²
= 0.027 × 10⁸ Euro per month
= 2.7 × 10⁶ Euro per month
= 2.7 million euros per month
So, the institute will earn 2.7 million euros per month
Answer:
x = 21
Step-by-step explanation:
corresponding sides in similar polygons are proportional:
set a proportion: BC/FK = CA/KJ => 18/6 = x/7 => x = 18 × 7 ÷ 6 = 21
Answer:

And we can solve this using the following z score formula:

And if we use this formula we got:

So we can find this probability equivalently like this:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
We want this probability:

And we can solve this using the following z score formula:

And if we use this formula we got:

So we can find this probability equivalently like this:

Answer:
= 160 units
Step-by-step explanation:
Relevant data provided as the situation is below:-
Total available time = 480
Cycle time = 3
According to the given situation, the computation of the daily production rate is shown below:-
Daily production rate is

= 
= 160 units
Therefore we have solve the daily production rate to reach the daily production rate.