Solids have a definite shape and volume due to closely packed particles.

Aluminum is widely used in structural components due to its strength-to-weight ratio.

Using Bayes' theorem, P(Disease|Positive) = (P(Positive|Disease) * P(Disease)) / P(Positive). Here, P(Positive) = P(Positive|Disease) * P(Disease) + P(Positive|No Disease) * P(No Disease). Calculating gives approximately 0.018.

The prevalence of the disease is given as 2%, which can be expressed as a probability of 0.02.

There are 13 hearts in a deck of 52 cards. Probability = 13/52 = 1/4.

The reaction between HCl and NaOH produces sodium chloride (NaCl) and water (H2O).

Sodium reacts with chlorine to form sodium chloride (NaCl).

The product of the roots of the equation ax^2 + bx + c = 0 is given by c/a. Here, c = 6 and a = 2, so the product is 6/2 = 3.

Using Vieta's formulas, the product of the roots is c/a = 10/1 = 10.

The projected fiscal deficit of India for the year 2023 is around 5.5%.

The rank of E is 2 because the rows are linearly dependent (the third row is a linear combination of the first two).

The real part of z = 4 + 5i is 4.

The recommended daily intake is 5-7 servings of fruits and vegetables for optimal health.

In an equilateral triangle, all three angles are equal and measure 60 degrees each.

When two parallel lines are cut by a transversal, the corresponding angles are equal.

The sum of the interior angles of a triangle is 180 degrees, and the angles formed by a transversal cutting through two parallel lines are supplementary, meaning they add up to 180 degrees.

Resistance R = ρ * (L/A). Here, R = (1.7 x 10^-8 Ωm) * (2 m / (1 x 10^-6 m²)) = 0.034 Ω.

(a - b)(a + b) = a² - b², which is the difference of squares.

(x + y)(x - y) = x² - y², which is the difference of squares.

Mixing equal volumes of 0.1 M HCl and 0.1 M NaOH results in a neutral solution with pH = 7.

Auxins are plant hormones that promote cell elongation, which is crucial for growth and development in plants.

Enzymes act as catalysts that lower the activation energy required for biochemical reactions, thus speeding them up.

Ribosomes are the sites of protein synthesis, translating mRNA into polypeptide chains.

The respiratory system is responsible for the exchange of gases, primarily oxygen and carbon dioxide, between the body and the environment.

The slope of the line in the equation y = mx + b is m, which is 2.

The derivative y' = 2x. At x = 3, y' = 2(3) = 6.

Adding 4 to both sides gives 2x = 14. Dividing by 2 gives x = 7.

Specific heat capacity (c) = Q / (m * ΔT) = 500 J / (2 kg * 10°C) = 25 J/kg°C.

The sum of the coefficients in the expansion of (x + 1)^n is given by (1 + 1)^n = 2^n. Here, n=8, so the sum is 2^8 = 256.

The first five prime numbers are 2, 3, 5, 7, and 11. Their sum is 2 + 3 + 5 + 7 + 11 = 28.