Answer:
120, 68, 72, 36, 32, 41, 31 (Left to right, top to bottom)
Step-by-step explanation:
When looking at the tree, we start from left to right. That means the numbers on the left are larger and get smaller as we move to the right. The very first one on the left is 120 since there are 120 in the theater.
We know that 72 are female so we can put that in the lower bubble of the second column. From this information, we can find the # of males.
140-72=68. We can put 68 in the upper bubble of the second row.
We can first finish the male side with ice cream. We know 36 purchased ice cream which goes in the top bubble on the right. Now we subtract to find the remainder. 68-36=32. 32 goes right below 36
Now we go to the female side. 41 bought ice cream. This goes in the one 3rd down on the right. 72-41=31. 31 goes right below 41
Answer:
(a)
The equation of the given curve is y=x2−2x+7.
On differentiating with respect to x, we get:
dxdy=2x−2
The equation of the line is 2x−y+9=0.⇒y=2x+9
This is of the form y=mx+c.
Slope of the line =2
If a tangent is parallel to the line 2x−y+9=0, then the slope of the tangent is equal to the slope of the line.
Therefore, we have: 2=2x−2
⇒2x=4⇒x=2
Now, at x=2
⇒y=22−2×2+7=7
Thus, the equation of the tangent passing through (2,7) is given by,
y−7=2(x−2)
⇒y−2x−3=0
Hence, the equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.
(b)
The equation of the line is 5y−15x=13.
Slope of the line =3
If a tangent is perpendicular to the line 5y−15x=13,
then the slope of the tangent is Slope of the line−1=3−1.
⇒dxdy=2x−2=3−1
Answer:
Step-by-step explanation:
Use FOIL method
(2k + 1) (k - 4) = 2k*k + 2k*(-4) + 1*k + 1*(-4)
= 2k² - 8k + k - 4 {add the like terms}
= 2k² - 7k - 4
.33 because the 2 needs to round up hecause there is a number greater than 5 after it
Answer:
0.125
Step-by-step explanation:
Assuming the coin is fair (most coins are not completely fair) and that the person flipping is not able to control the tosses (some people can) then the chance is 0.125. On each flip, the chance is 1/2. The combination is simply the product of three tosses, since the events are independent.
Hope this helped!♥
