There are 6 drama DVDs and 2 horror DVDs.
15 - 7 = 8
2 + 6 = 8
The tree diagram shows that there are a total of six sample
spaces.
math------science
art
science---math
art---math
science
math---art
art---science
math
science---art
Based on the tree
diagram, the probability that the science project is first is two over six.
This is because science appears first in two out of the six sample spaces (boldened).
Answer:
± 27.33 ft
Step-by-step explanation:
For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:
(-50-0)/(-40-0) = 50/40 = 1.25
Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.
Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);
-0.8 = y/x
y = -0.8x
Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:
35^2 = x^2 + y^2
y = -0.8x
35^2 = x^2 + (-0.8x)^2
1225 = (x^2 + 0.64x^2)
1225 = 1.64x^2
x^2 = 1225/1.64 = 746.95
x = sqrt(746.95) = ± 27.33 ft
Convert 3/4 to a denominator of 8 by multiplying by two, getting you:
6/8 + 1/8
Add those and you get D) 7/8
Answer:
The answer is 16
Step-by-step explanation:
8 divided by 2 (2+2)=16
