Question

In: Advanced Math

A 12 cm by 25 cm by 36 cm box of cereal is lying on the...

A 12 cm by 25 cm by 36 cm box of cereal is lying on the floor on one of its 25 cm by 36 cm faces. An ant, located at one of the bottom corners of the box, must crawl along the outside of the box to reach the opposite bottom corner. What is the length of the shortest path? (* note: the ant can crawl on any of the 5 exposed faces (not the bottom, which is flush with the ground. It can crawl on any edge or face of the box) Hint: Pythagorean theorem.

Solutions

Expert Solution


Related Solutions

1.) A box is lying on a hand truck that is lying flat. Lying flat, the...
1.) A box is lying on a hand truck that is lying flat. Lying flat, the hand truck is 4 feet long, measured from the wheels to the top of the frame. The box spans a length of two feet lying on the hand truck, measured from the bottom of the handtruck's frame to exactly its middle. The box weighs 85 pounds and a person is looking to move the hand truck with the box on it. The person can't...
A machine that is programmed to package 2.35 pounds of cereal in each cereal box is...
A machine that is programmed to package 2.35 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 34 cereal boxes, the mean and the standard deviation are calculated as 2.38 pounds and 0.19 pound, respectively. (You may find it useful to reference the appropriate table: z table or t table) a. Select the null and the alternative hypotheses to determine if the machine is working improperly, that is, it is either underfilling...
A machine that is programmed to package 1.20 pounds of cereal in each cereal box is...
A machine that is programmed to package 1.20 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 42 cereal boxes, the mean and the standard deviation are calculated as 1.26 pounds and 0.15 pound, respectively. (You may find it useful to reference the appropriate table: z table or t table) a. Select the null and the alternative hypotheses to determine if the machine is working improperly, that is, it is either underfilling...
Q1. Does an average box of cereal contain 368 grams of cereal? A random sample of...
Q1. Does an average box of cereal contain 368 grams of cereal? A random sample of 36 boxes had a mean of 372.5 and a standard deviation of 12 grams. Test at the .05 level of significance.
A cereal box, in the shape of a rectangular prism and with a closed top, is...
A cereal box, in the shape of a rectangular prism and with a closed top, is to be constructed so that the base is twice as long as it is wide. Its volume is to be 8000cm3。 Find the dimensions that will minimize the amount of cardboard required to make the box.
After 1.60 mol of NH3 gas is placed in a 1600-cm^3 box at 25 degrees C,...
After 1.60 mol of NH3 gas is placed in a 1600-cm^3 box at 25 degrees C, the box is heated to 500 K. At this temperature, the ammonia is partially decomposed to N2 and H2, and a pressure measurement gives 4.85 MPa. Find the number of moles of each component present at 500 K.
Ariana Corporation includes two coupons in each box of cereal box and 9 coupons are redeemed...
Ariana Corporation includes two coupons in each box of cereal box and 9 coupons are redeemed for a child’s toy dog. In 2013, Ariana Corporation purchased 4700 toy dogs at $1.05 each and sold 108,000 boxes of cereal at $4.25 per box. In total, 36,000 coupons were presented for redemption in 2013. It is estimated that 50% of the coupons will eventually be redeemed. Required: a) What would appear on the balance sheet as a result of the above? b)...
The weight, in kilograms, of cereal in a box can be modelled by a normal distribution...
The weight, in kilograms, of cereal in a box can be modelled by a normal distribution with Mean ? and standard deviation 5.4 kg. Given that 10% of boxes contains less than D kg. Find. a. The value of ?. b. The percentage of boxes that contain more than (D+4) kg. c. If the machine settings are adjusted so that the weight of cereal in a box is normally distributed with mean (D+3) kg and standard deviation of ?. Given...
18. A box is to be made out of a 10 cm by 16 cm piece...
18. A box is to be made out of a 10 cm by 16 cm piece of cardboard. Squares of side length ? cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the maximum volume of the box. 19. A rectangle is inscribed with its base on the x-axis and its upper corners on the 2 parabola ? = 8 − ?...
The probability that a randomly selected box of a certain type of cereal has a particular...
The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.2. Suppose you purchase box after box until you have obtained four of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? h(x; 4, 0.2) b(x; 4, 2, 10)      nb(x; 4, 2, 10) b(x; 4, 0.2) h(x; 4, 2, 10) nb(x; 4, 0.2) (b) What is the probability that you purchase...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT