Answer:
(4.4, 4.4)
Step-by-step explanation:
The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:
RS : ST = 1 : 4
S = (4R +1T)/5
S = (4(2, 2) +(14, 14))/5 = (22, 22)/5
S = (4.4, 4.4)
Answer:
The one that sells 10 tacos for $8.49
To get the better deal, you should find the selling prices for a single tacos in both cases and compare the amounts.
In the first one, 10 tacos for $8.49
This means 1 tacos sells for $8.49/10 = $0.849
In the second one, 6 for $5.40, this means for a single tacos, the selling price is $5.40/6 =$0.9
The better deal is the first one that sells one taco for $0.849 compared to the second one that sells one tacos for $0.9
Answer:
The equation of the line that is parallel to is and the equation of the line that is perpendicular to is .
Let be a line whose equation is:
(1)
Whose explicit form is:
(2)
Where:
- Independent variable.
- Dependent variable.
The slope and x-intercept of the line are and , respectively.
There are two facts:
A line is parallel to other line when the former has the same slope of the latter.
A line is perpendicular to other line when the former has a slope described the following form (), where is the slope of the former.
Then, the equation of the line that is parallel to is and the equation of the line that is perpendicular to is .
To learn more on lines, we kindly invite to check this verified question: brainly.com/question/2696693
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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:
Then:
P(A∪B)= P(A) + P(B)
P(A∪B)= 
P(A∪B)= 
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