If we multiply the inequality n<4 by 3 we get the following:
Now, on the next inequality we have the following:
By transitive property, we have:
therefore, the solution set for m is m<8
Since y represents miles and x represents weeks, it would be y=300x
Answer:19.1
Step-by-step explanation: Put the numbers in order and then add the numbers and then divide it by how many number there is
14+15+18+18+18+18+21+21+24+24=191
191/10=19.1
The probability notation for choosing a red disk is P(red disk)
<h3>How to determine the notation?</h3>
From the question, we have the following highlights:
- The scenario represents probability
- The event is choosing a red flask
Probability notations are represented as:
P(Event)
Since the event is choosing a red flask, the probability would be
P(red disk)
Hence, the probability notation for choosing a red disk is P(red disk)
Read more about probability at:
brainly.com/question/251701
#SPJ1
Answer:
b = 159 m
a = 103 m
angle B is 57 degrees
Step-by-step explanation:
Let’s start with getting the measure of angle B
Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle
So we have the measure of B as;
90-33 = 57 degrees
To get the value of a, we use the appropriate trigonometric ratio
a faces the angle 33, that makes it an opposite to that angle
190 faces the right angle and that makes it the hypotenuse
Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse
so, we have it that;
sine 33 = a/190
a = 190 * sine 33
a = 103 m
to get b, it is adjacent to the given angle
So with the hypotenuse, the ratio between it and the hypotenuse is the cosine
so;
cos 33 = b/190
b = 190 * cos 33
b = 159 m
