Answer:
Refer to the explanation
Step-by-step explanation:
As approximately 10% of users fail to close Windows properly, we determine:
A. On average,
B. The likelihood that precisely 8 out of the next 10 users will close Windows correctly is
We are given the triangle
△ABC, with m∠A=60° and m∠C=45°, and AB=8.
To start, we will calculate all angles and sides.
Finding angle B:
The total of all angles in a triangle equals 180.
m∠A + m∠B + m∠C = 180.
Substituting the known values,
60° + m∠B + 45° = 180.
This gives us m∠B = 75°.
Calculating BC:
Using the law of sines,
We can substitute in the values.
Finding AC:
Now we'll input the values.
Calculating Perimeter:
We substitute values here as well.
Calculating Area:
Using the area formula,
we can then insert values.
...............Answer
We have a piecewise function consisting of a parabolic graph and a linear graph.
When the parabolic graph of is elevated by 6 units, the new equation becomes
.
Given that the parabola aligns with this requirement, its equation can be expressed as
The parabola extends to x=3, where there is an open circle at this point. Thus, we need to use a less than sign.
Next, the line's equation is determined as
Since there is a solid dot, we must employ the greater than or equal to sign.
Consequently, the piecewise function's equation is derived as
C is the right choice.