Answer:
the answer would be 2/5
Step-by-step explanation:
you add up all of the boys to get 8
there are, in total 20 students that can be chosen, so there is an 8/20 chance that it would be a boy, simplified that is 2/5
Answer: 1/20 and 19/20
Step-by-step explanation:
Answer:
The graph of function g is the graph of function f shifted 6 units up.
Step-by-step explanation:
Given


Required
Compare g(x) to f(x)
Substitute
in 

<em>This implies that f(x) is shifted 6 units upward to give g(x)</em>
Answer:
Step-by-step explanation:
The key here is knowing that the equation of the line that passes through these points is same
Thus having (6,14) and (0,0), the slope is as follows;
m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3
Now we can use this slope here to get the value of y in the question
All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)
That would be;
7/3 = y-14/1-6
7/3 = y-14/-5
cross multiply;
-35 = 3(y-14)
-35 = -3y + 42
-3y = -35-42
-3y= -77
y = -77/3
y = 77/3
Hi there!
We can find the perimeter of a rectangle by using the following formula:
perimeter = 2 × width + 2 × length
In the question, we are given the following data: the length of the rectangle is 12 in and the perimeter is 56. Let's substitute this into our formula!
56 = 2 × width + 2 × 12
Multiply first.
56 = 2 × width + 24
Now subtract 24 from both sides.
32 = 2 × width
And finally, to find the width of the rectangle, divide both sides of the equation by 2.
16 = width
(we can eventually switch sides in the equation).
width = 16
~ Hope this helps you!