Since there is one mode (10), the data is unimodal.

Since there is one mode (10), the data is unimodal.

A single mode indicates that the data is likely skewed.

Both 2 and 3 appear 3 times, but since 2 is the smallest, the mode is 2.

The number 4 appears 3 times, which is more than any other number, so the mode is 4.

The ratio of apples to oranges is 2:3. If there are 30 oranges, we can set up the proportion: 2/3 = x/30. Solving for x gives us x = 20. Therefore, there are 20 apples.

The ratio of apples to oranges is 7:5. If there are 35 apples, the number of oranges can be calculated as (35 apples * 5 oranges) / 7 apples = 25 oranges.

When a > 0 in a quadratic function, the graph opens upwards, indicating that the vertex is the minimum point.

If a > 0 in a quadratic function, the graph opens upwards, indicating that it has a minimum point.

'a' determines the direction of the parabola's opening; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

The coefficient 'a' in a quadratic function determines whether the parabola opens upwards (a > 0) or downwards (a < 0).

'a' determines the direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

'a' determines the direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

The function has critical points where the first derivative is zero, which can be analyzed to find both local maxima and minima.

If f(a) = f(b) for a ≠ b, it indicates that the function is not one-to-one, which means it does not pass the horizontal line test.

The cathode reaction must be a reduction reaction, and Cu²⁺ + 2e⁻ → Cu is a common cathode reaction.

The cathode reaction is O₂ + 4e⁻ + 4H⁺ → 2H₂O.

The cathode reaction must be a reduction; Ag⁺ + e⁻ → Ag is the anode reaction.

The cathode reaction is Cu²⁺ + 2e⁻ → Cu.

In a galvanic cell, oxidation occurs at the anode.

In a galvanic cell, reduction occurs at the cathode.

Matches won = 75% of 40 = 0.75 × 40 = 30 matches.

Winning margin = Points scored by winner - Points scored by opponent = 21 - 15 = 6 points.

The probability of losing is 1 - 0.2 = 0.8.

The probability of losing all 4 games is (0.75)^4 = 0.3164. Therefore, the probability of winning at least once is 1 - 0.3164 = 0.6836, approximately 0.84.

This principle is known as Dalton's Law of Partial Pressures.

The partial pressure of a gas in a mixture is the pressure that gas would exert if it occupied the entire volume alone.

Dalton's Law of Partial Pressures states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of each gas.

According to Boyle's Law, if the volume is halved while keeping the temperature constant, the pressure doubles.

The distribution of molecular speeds in a gas is described by the Maxwell-Boltzmann distribution.