Answer:
The probability that a randomly selected person from this sample liked recreational reading or disliked recreational reading is 1.
Step-by-step explanation:
The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.
Mutually exclusive events are those events which cannot occur together. They are also known as disjoint events.
If events <em>A</em> and <em>B</em> are mutually exclusive then:
The data provided is:
Opinion Like academic Dislike academic Total
reading reading
Liked recreational 136 40 176
reading
Disliked recreational 16 8 24
reading
Total 152 48 200
Denote the events as follows:
<em>X</em> = a person liked recreational reading.
<em>Y</em> = a person disliked recreational reading.
Compute the probability that a randomly selected person from this sample liked recreational reading or disliked recreational reading as follows:
Thus, the probability that a randomly selected person from this sample liked recreational reading or disliked recreational reading is 1.
4 blue, 3 red
twice as many black pens as blue pens.....black pens = 2(4) = 8
so there are : (4 + 3 + 8) = 15 total pens
fraction of blue pens to total pens = 4/15
Answer:
The line of sight distance is 1285.58 feet.
Step-by-step explanation:
The situation is illustrated in the figure attached.
From the figure we see that the altitude difference of the planes and the distance between them form a right triangle with one angle of 40° .
The line of sight between the two planes is the hypotenuse of the triangle.
The altitude difference of the planes is
Therefore, if we call 
the line of sight distance, from trigonometry we have
Therefore, the line of sight distance (x) is 1285.58 feet.
This question has this set of answer choices:
a) when the plane cuts three faces of the cube, separating one corner from the others
b) when the plane passes through a pair of vertices that do not share a common face
c) when the plane is perpendicular to the base and intersects two adjacent vertical faces
d) when the plane makes an acute angle to the base and intersects three vertical faces
e) not enough information to answer the question
The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others
You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.
<span>Angle T = Angle C, let them equal x
So x + x + 140 = 180
2x = 40
x = 20
So Angle T = 20 degrees </span>
