Question

estimate the probability that an earthbound meteorite either disintegrates above or impacts with a body of water. round to the nearest hundredth.

	area (km²)
water area	360,000,000
total area	510,000,000

Explanation:

Step1: Identify the favorable and total outcomes

The problem is about finding the probability that a meteorite impacts water. The area of water (favorable outcome) is \( 360,000,000 \, \text{km}^2 \) and the total area (total possible outcomes) is \( 510,000,000 \, \text{km}^2 \).

Step2: Calculate the probability

Probability \( P \) is given by the formula \( P=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}} \). So we substitute the values: \( P = \frac{360000000}{510000000} \).

Simplify the fraction: Divide numerator and denominator by \( 30000000 \), we get \( \frac{360000000\div30000000}{510000000\div30000000}=\frac{12}{17}\approx0.70588 \). Rounding to the nearest hundredth (two decimal places), we look at the third decimal which is 5, so we round up the second decimal. \( 0.70588\approx0.71 \).

Answer:

\( 0.71 \)