The probability that both of the students are on Team D is about 5.56%
There are 4 teams, so the first person has a 1/4 chance of being on Team D.
However, for the second person, there are only 6 spots left out of 27 to be on Team D.
To find the combined probability, we need to multiply the two fractions.
1/4 times 6/27 = 1/18 or about 5.56%
Answer:
The principal is $4,150.
Step-by-step explanation:
We have to find the principal if the maturity value is $4,500 and the simple interest is $350.
<u>As we know that the formula for calculating the final amount or maturity amount is given by;</u>
Amount = Principal + Interest
Here, Simple interest = $350
Amount or Maturity value = $4,500
So, the Principal = Amount - Interest
Principal = $4,500 - $350
= $4,150
Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.
Since a full circle has 360degrees and this circle only has two angles, subtract the arc of the known angle to find the arc of the unknown angle.
Angle DGF + angle DEF= 360degrees
Angle DGF + 70degrees= 360 degrees
Angle DGF = 290 degrees
The arc of the unknown angle is 290 degrees
Answer: Option D
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
If we have a main function 
And we perform the transformation:
Then it is fulfilled that:
If 
the graph of f(x) moves horizontally h units to the left
If 
the graph of f(x) moves horizontally h units to the right
If we have a main function
And we perform the transformation:
Then it is fulfilled that:
The graph of g(x) is equal to the graph of f(x) reflected on the x axis
In this case we have to:
and 
Therefore 
and 
This mean that: g(x) is shifted 3 units to the left and reflected over the x-axis.
