-4<x<6
should be the correct answer because x is larger than -4 but 6 is larger than x.
you could also write it
-4<x AND x<6
Answer:
1(5/16)=1.3125
7(5/16)=7.3125
26(5/16)=26.3125
Step-by-step explanation:
Given that 5/16=0.3125, the mixed fraction 1(5/16)=1+(5/16)=1+0.3125=1.3125
Also, 7(5/16)=7+(5/16)=7+0.3125=7.3125
Furthermore,
26(5/16)=26+(5/16)=26+0.3125=26.3125
In the same vein, given that 4/15=0.266
1(4/15)=1+(4/15)=1+0.266=1.266
17(4/15)=17+(4/15)=17+0.266=17.266
23(4/15)=23+(4/15)=23+0.266=23.266
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:
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:
thirteen sixteenths
Step-by-step explanation:
Three eighths plus seven sixteenths equals blank
3/8 + 7/16 = ?
= (2*3)+(1*7)/16
= (6+7)/16
= 13/16
13/16 is equivalent to thirteen sixteenths
we know that
The vertex of the graph
is the point 
The vertex of the graph
is the point 
so
the rule of the translation is

That means
one unit to the left
therefore
<u>the answer is the option </u>
1 unit left