Marks scored = 75% of 200 = 0.75 * 200 = 150.

Amount donated = 10% of 2500 = 0.1 * 2500 = $250.

Amount spent on books = 25% of 1200 = 0.25 * 1200 = $300. Amount left = 1200 - 300 = $900.

Amount spent on books = 30/100 * 1500 = 450. Amount left = 1500 - 450 = $1050.

Amount spent on tuition = 0.4 * 1500 = $600. Amount left = 1500 - 600 = $900.

Amount spent on tuition = 40% of 1500 = 0.4 * 1500 = $600. Amount left = 1500 - 600 = $900.

Speed = Distance / Time = 200 meters / 120 seconds = 1.67 m/s. To convert to km/h, multiply by 3.6: 1.67 * 3.6 = 6 km/h.

Total Rounds = Rate × Time = 10 rounds/min × 15 min = 150 rounds

Total shells = Rate × Time = 10 shells/min × 15 min = 150 shells

Total Rounds = Rate × Time = 15 rounds/min × 10 min = 150 rounds

Fuel Consumption = (Distance / 100 km) × Fuel per 100 km = (250 km / 100 km) × 10 liters = 25 liters

Fuel Consumption = Distance × Fuel per km = 100 km × 2 liters/km = 200 liters

Fuel needed = Distance / Distance per liter = 100 km / 5 km/liter = 20 liters

Fuel needed = (Fuel per 100 km) × (Distance / 100) = 15 liters × (250 km / 100) = 37.5 liters, rounded to 40 liters

Using Bayes' theorem, P(Disease | Positive) = (Sensitivity × Prevalence) / ((Sensitivity × Prevalence) + (1 - Specificity) × (1 - Prevalence)) = (0.9 × 0.01) / ((0.9 × 0.01) + (0.05 × 0.99)) = 0.018.

True positive rate = Sensitivity × Prevalence = 0.9 × 0.01 = 0.009.

Distance = speed × time = 60 km/h × 3 h = 180 km.

Distance = speed * time = 60 km/h * 2.5 h = 150 km.

The cross Aa x aa will produce offspring in a 1:1 phenotypic ratio (A:a).

The son will inherit the X chromosome from his mother. If she is a carrier (X^HX^h), there is a 50% chance he will inherit the X^h and express the trait.

Probability that treatment is not effective for one patient = 1 - 0.8 = 0.2. For three patients, the probability that it is not effective for all = 0.2^3 = 0.008. Therefore, the probability that it is effective for at least one = 1 - 0.008 = 0.992.

Using the binomial probability formula: P(X=k) = C(n,k) * p^k * (1-p)^(n-k). Here, n=5, k=3, p=0.8. Thus, P(3 out of 5) = C(5,3) * (0.8)^3 * (0.2)^2 = 10 * 0.512 * 0.04 = 0.2048.

Area = 1/2 * base * height => 30 = 1/2 * 10 * height => height = 30 / 5 = 6 units.

Area = 1/2 * base * height. Therefore, 30 = 1/2 * 10 * height, height = 6 units.

The sum of angles in a triangle is 180°. Therefore, the third angle is 180° - 30° - 60° = 90°.

Yes, because 3² + 4² = 5² (9 + 16 = 25).

Area = 1/2 × base × height = 1/2 × 3 cm × 4 cm = 6 cm².

Yes, because 5² + 12² = 25 + 144 = 169 = 13².

The maximum length of the third side is less than the sum of the other two sides, so it can be at most 6 + 8 - 1 = 13, but must also be greater than the difference, so it can be at most 10.

The maximum length of the third side is less than the sum of the other two sides, which is 7 + 24 = 31.