A lead ball and an aluminum ball, each 1 in. in diameter, are released simultaneously and allowed to fall to the ground. Due to its greater density, the lead ball has a substantially larger mass than the aluminum ball. Which of these balls, if either, has the greater acceleration due to gravity?

Si el diámetro de un planeta es de 31.2 millas y la aceleración centrípeta sobre la en su superficie es de \( 853.7 \mathrm{ft} / \mathrm{s}^{2} \), determine el tiempo que le toma a un punto en su superficie, realizar una vuelta completa, suponiendo que la órbita en la que se mueve el punto es circular. Recuerde: \( 1 \mathrm{mi}=1609 \mathrm{~m} \) y \( 1 \mathrm{ft}=0,3048 \mathrm{~m} \)

An elevator has a placard stating that the maximum capacity is \( 4300 \mathrm{lb}-28 \) passengers. So, 28 adult male passengers can have a mean weight of up to \( 4300 / 28=154 \) pounds. Assume that weights of males are normally distributed with a mean of 183 lb and a standard deviation of 38 lb . a. Find the probability that 1 randomly selected adult male has a weight greater than 154 lb . b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 154 lb . c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 154 lb is (Round to four decimal places as needed.)

3. एक विद्युत द्विध्रुव के अक्ष पर r दूरी पर विद्युत क्षेत्र की तीव्रता E 1 तथा लम्ब-अर्द्धक रेखा पर r दूरी पर तीव्रता E 2 है। E 1 एवं E 2 के बीच का कोण 0 है। \( \mathrm{E} 1: \mathrm{E} 2 \) एवं 0 होंगे।

Simplify the radical expression \( \frac{-15+\sqrt{45}}{3} \) Write your answer in exact form without decimals. To enter an expression such as \( 8+\sqrt{13} \) type \( 8+ \) sqrt(13). The result is

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 136 lb , the boat was rated to carry 50 passengers (so the load limit was \( 6,800 \mathrm{lb} \) ). After the boat sank, the assumed mean weight for similar boats was changed from 136 lb to 170 lb . Complete parts a and b below. a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 179.3 lb and a standard deviation of 36.8 lb . Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 136 lb . The probability is (Round to four decimal places as needed.)