HELP PLEASE ASAP. A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 actio

The total number of juices equals 27, with the probabilities for each type being as follows: apple juice = 12/27, grape juice = 15/27, sugar-free = 14/27, and not sugar-free = 13/27. Since it has already been established that the chosen juice is not sugar-free, we do not need to factor that probability into our calculations. Of the apple juices, 9 are sugar-free, leaving 3 that are not, and for the grape juices, 5 are sugar-free, resulting in 10 that are not. Consequently, among 13 juices that are not sugar-free, 10 are grape juice, so the likelihood of selecting a non-sugar-free grape juice is 10/13. Therefore, the answer is A). Sorry if my explanation was lengthy; I tend to elaborate.

The accurate statements include: If 200 students were surveyed, then 28 students would select art as their favorite subject. If 400 students were surveyed, 64 would opt for social studies.

Answer:

Step-by-step explanation:

105 divided by 5 equals 21

21m=b

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The volume of a rectangular prism is calculated as
V = length × width × height

. For the juice carton, the volume is calculated as
V = 4 × 4 × 8 = 128 in³

. The volume formula for a cylinder is
V = Area of circular base × height = ×h, where denotes the radius of the circular base

. The volume for the cylindrical glass is computed as
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³

. Therefore, the quantity of glasses that can be filled with the juice from the carton is:

128 ÷ 24.7275 = 5.18 ≈ 5 glasses


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<span>The system of equations that can determine if the commuter jet’s flight path crosses the restricted airspace is:

y = \frac{1}{4}(x - 10)^2 + 6  (i)
y = \frac{-27}{34}x - \frac{5}{17}  (ii)
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Here's why:
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The closed airspace boundary is defined by points (10, 6) and (12, 7).
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The commuter jet’s linear path runs from (-18, 14) to (16, -13).

Equation (i) describes the boundary since it fits both (10, 6) and (12, 7):

For (10, 6):
\frac{1}{4}(10-10)^2 + 6 = 6 (true)

For (12, 7):
\frac{1}{4}(12-10)^2 + 6 = 1 + 6 = 7 (true)

Equation (ii) represents the commuter jet’s path as it fits both (-18, 14) and (16, -13):

For (16, -13):
-13 = \frac{-27}{34} \times 16 - \frac{5}{17} = -13 (true)

For (-18, 14):
14 = \frac{-27}{34} \times (-18) - \frac{5}{17} = 14 (true)

By solving this system, we can confirm that the jet’s flight path intersects the closed airspace.