Answer:
The area of the base of the pyramid is 109.2 mm.
Step-by-step explanation:
The area of the base of a hexagonal pyramid is given by the area of a hexagon:
Where:
P: is the perimeter
a: is the apothem
We need to find the perimeter and the apothem.
The perimeter is equal to:
Where:
s: is the side of the pyramid
And the apothem is:
So, to calculate the apothem and the perimeter we need to calculate the side of the pyramid. We can find it from the volume of the pyramid:
Where:
h: is the height = 4 mm
V: is the volume = 144 mm³
Then, the side is:
Now, we can find the perimeter and the apothem.
Finally, the area is:
Therefore, the area of the base of the pyramid is around 109 mm.
I hope it helps you!
A square, a rectangle, and a rhombus are shapes that are parallelograms. A parallelogram is a quadrilateral with a pair of parallel sides.
Answer:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest (number of children that may have a blood level that may impair development), on this case we know that:
Since we select a sample of 10 and the probability of success for each trial is 0.6
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
Answer:
x=3/4
Step-by-step explanation:
Answer:
P-15>18
P>33
Step-by-step explanation:
First, you need to make the equation. Knowing that deference means you need to subtract, you write it out. P-15>18 . Then to solve it, you add the 15 over to the other side. 18+15=33, therefore p>33