Answer:
The anticipated number of tests required to identify 680 acceptable circuits is 907.
Step-by-step explanation:
For any circuit, there are two potential results: it either passes the test or it fails. The likelihood of passing is independent between circuits. Therefore, we apply the binomial probability distribution to address this scenario.
Binomial probability distribution
This distribution calculates the chance of obtaining exactly x successes across n trials, where x has only two possible outcomes.
To find the expected number of trials to achieve r successes with a probability p, the formula is given by:
Circuits from a specific factory pass a certain quality evaluation with a probability of 0.75.
Thus, to determine the expected number of tests needed for 680 acceptable circuits, let’s denote this as E where r = 680.
The expected number of tests necessary to find 680 acceptable circuits is 907.
The value of x equals 60 degrees.
This is because alternate interior angles are equal by definition :)
Can I get the brainliest award please?
Step 
Calculate the volume of a cylinder
We understand that
the volume of a cylinder can be expressed as
In this scenario
Insert the values
Step 
Calculate the volume of a cone
We are aware that
the volume of a cone equals
In this example
Use the Pythagorean Theorem to determine the height h
Step 
Calculate the empty volume inside the cylinder
Thus
the final result is
the empty volume inside the cylinder is 
Answer:
Angle x = angle 115°.
Step-by-step explanation:
Given: We have two parallel lines intersected by a transversal.
To find: The value of x.
Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.
Thus, angle x = angle 115, being corresponding angles.
Therefore, angle x = angle 115.
