Help with this question please!
1 answer:
<em>V = 120 in^3</em>
<u><em>Here is why:</em></u>
The volume formula for a pyramid is:
The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.
The area formula for a triangle is:
Plug in the numbers.
A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.
V = 120 in^3
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Angle sum property = Sum of the three angles of a triangle will be equal to 180° .
Using this let us find out the measure of x .
Measure of first angle = 101°
Measure of second angle = 38°
Measure of third angle = x
Answer:
0.0076 = 0.76% probability that all five plants emerged from treated seeds
Step-by-step explanation:
The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
6 + 6 = 12 seeds, which means that
6 treated, which means that
Five sprouted, which means that
What is the probability that all five plants emerged from treated seeds?
This is P(X = 5). So
0.0076 = 0.76% probability that all five plants emerged from treated seeds