Whether the events are dependent or not, the rule for conditional probability applies:
P(a|b) = P(a∩b)/P(b)
P(a|b)×P(b) = P(a∩b)
0.25×0.4 = P(a∩b) = 0.1
The appropriate choice is
C. 0.1
Answer: 3. 117 cm^2
4. 104 m^2
Step-by-step explanation:
See images attached
The length (L), width (W), and the diagonal (D) of the television screen make a right triangle with the legs L and W and hypotenuse D. Thus, their measurements are related through Pythagorean Theorem.
L² + W² = D²
Substituting the known values from the given,
(15 in)² + W² = (25 in)²
Solving for W in the equation gives, W = 20 in and W = -20. The second value is an extraneous root. Thus, the width of the television screen is 20 inches.
Answer:
B: 7.07 units
Step-by-step explanation:
We see a radius of circle A labeled 3, so we know that the other radius of circle A that contains the side of the rectangle also measures 3 units. The side of the rectangle measures 2, so the part of the radius of circle A that is not part of the rectangle measures 1 unit. That is one leg of the right triangle.
Opposite sides of a rectangle are congruent, so the side of the rectangle opposite the side that measures 7 also measures 7. That is the other leg of the right triangle. Now we use the Pythagorean theorem to find AC which is the hypotenuse of the right triangle.
a² + b² = c²
1² + 7² = c²
1 + 49 = c²
c² = 50
c = √50
c = 7.07
Answer:
A
Step-by-step explanation:
Chocolate Chip 25
Oatmeal Raisin 15
Peanut Butter 22
<u>Sugar 18</u>
Total 80
A is false. If 160 students (double the original amount), approximately 36 students would buy a sugar cookie, not 18.
B is true. There are 18 students out of 80 that prefer a sugar cookie.
18/80 = 0.22 = 22%
C is true. If 240 students (triple the original amount), approximately 66 students would purchase a peanut butter cookie.
D is true. There are 40 students that prefer either chocolate chip or oatmeal raisin cookies. There are 80 students total.
25 + 15 = 40
40/80 = 1/2