Answer: 0.2643
Step-by-step explanation:
Let p be the population proportion and
be the sample proportion .
As per given question , we have

z-score : 

The required probability ( using z-table ):-

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643
<h2>
Hello!</h2>
The answer is:
The second option,
Zackery, because AB=BC
<h2>Why?</h2>
To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.
So, finding the distances we have:
From A to B: (2,3) and (4,4)

From B to C: (4,4) and (6,3)

Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:
Zackery, because AB=BC
Have a nice day!
The ex- suffix often correlates a word to mean "outside", while the in- suffix often correlates a word to mean "inside". An exterior angle of a polygon would mean "an angle outside of a polygon". An interior angle of a polygon would mean "an angle inside of a polygon". Three exterior angles of this polygon would be angle B, angle D, and angle A. This is because these angles are outside of the polygon due to the extending lines from the shape. Two interior angles of this polygon would be angle 6 and angle 8 (explanation was given when I first began answering this question). Angle 9 would be exterior since it is outside of the polygon. Two exterior angles of the polygon that are congruent are angle D and angle 9, since they are both 90 degrees (right angles).
Answer: the player answered 30 questions correctly.
Step-by-step explanation:
Let x represent the number of questions that the player answered correctly.
Let y represent the number of questions that the player answered incorrectly.
The number of questions that the player answered is 40. It means that
x + y = 40- - - - - - - - - - -1
The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that
2x - y = 50
y = 2x - 50
Substituting y = 2x - 50 into equation 1, it becomes
x + 2x - 50 = 40
3x - 50 = 40
3x = 40 + 50 = 90
x = 90/3
x = 30
Answer:
See below.
Step-by-step explanation:
<u>Tangent</u> segments drawn to a <u>circle</u> from a <u>point</u> outside that <u>circle</u> are <u>congruent</u>.