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.
$10.50... multiply each quantity by .35cnts...$24.50-$14.00=$10.50
Let x represent the smaller angle.
Let y represent the larger angle.
The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.
Also, they a supplementary, meaning that they add up to 180. We can create another equation.
Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.
Substitute
into
After substituting, you get
Now, combine the x's
Subtract both sides by 5
Divide both sides by 5.
Now, we can solve for y using the equation
since we know the value of x.
Subtract both sides by 35.
The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)
Answer:
angle ABC = angle MNP
(See the single curved shape at angle B? Match it to the same one on the other triangle. The same with the double and triple angles. The marks in the middle of the lines work the same way. Lines BC, BA, NM, and NP are all the same length.)
Step-by-step explanation:
Answer:
Step-by-step explanation:
assuming that the X is a multiplication symbol and not a variable, because the multiplication symbol is * not x, 5*5/2*7=25/14=1 and 11/14
