Answer:
C
Step-by-step explanation:
Given
Divide each term on the numerator by 4x
= +
+
= + 2 +
Treys test score average decreased by 14 points this semester. Write a signed number to represent this change in average.
1 answer:
Answer:
Step-by-step explanation:
Given: Trey's test score average decreased by 14 points this semester.
To find: a signed number to represent this change in average.
Solution:
The decrease can be denoted by minus sign and increase can be denoted by plus
sign.
So, a signed number to represent the change in test score average is
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Answer:
The probability that they purchased a green or a gray sweater is
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
- P(A)= the probability that they purchased a green sweater
- P(B)= the probability that they purchased a gray sweater
- Mutually exclusive events
You know:
- 8 purchased green sweaters
- 4 purchased gray sweaters
- number of possible cases= 12 + 8 + 4+ 7= 21
So:
- P(A⋂B) = 0
Then:
P(A∪B)= P(A) + P(B)
P(A∪B)=
P(A∪B)=
<u><em>The probability that they purchased a green or a gray sweater is </em></u><u><em></em></u>
Answer:
1) Function; Linear Function (y=x)
2) Function; Exponential Function (y=bˣ)
3) Not a function.
Step-by-step explanation:
So, let's go through each table of values. I'm also going to graph them (see attached graphs) because it will make things simpler and provide a visual.
First, also recall what the definition of a function is. A function is a function if and only if an x only has <em>one</em> distinct y-value. No x can have two or more y-values. For instance, (1,2) and (1,3) is <em>not</em> a function between the x repeats. So, let's go through the choices:
1)
We have the table as shown. Let's plot the points. See TABLE 1:
First, there are no repeating x-values, so we can be sure that this is indeed a function.
Looking at the graph, we can see that this resembles a linear graph. So, the parent function of this is a line.
The parent function of a line is:
So, table 1 is associated with a linear function.
2)
Let's again plot the points. See TABLE 2.
Again, there are no repeating x-values, so this is also a function.
Looking at the graph, this resembles an exponential function. The function increases slowly at first but starts increasing increasingly fast. The parent function is thus an exponential function.
So, table 2 is associated with an exponential function.
3)
First, notice how all the x-coordinates are repeating. And since they do <em>not</em> equal the same thing, this is not a function.
Table 3 is not a function and so has no corresponding family function.
