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An athlete stands on top of a diving platform preparing to take a running start. She needs to complete an acrobatic dive that involves landing in the water 13 feet away (horizontally) from the end of the diving platform. The angle of depression from the athlete's feet at the end of the diving platform to the spot on the water where she wishes to land is 68.5°.How tall is the diving platform that the diver is standing on?The diving platform is approximately __________ feet high.
General
2 months ago
The product of two consecutive positive integers is 1332 explain how you can write and solve a quadratic equation to find the value of the larger integer
General
2 months ago
Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?a. He can randomly survey 50 boys in the school.b. He can survey 30 students in the school band.c. He can randomly survey 50 6th graders in the school. d. He can survey 20 friends from his neighborhood.
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2 months ago
The Mars Cereal Company has two different cereal boxes for Mars Cereal. The large box is 8 inches wide, 11 inches high, and 3 inches deep. The small box is 6 inches wide, 10 inches high, and 2.5 inches deep.a. How much more cardboard is needed to make the large box than the small box?b. How much more cereal does the large box hold than the small box?
General
2 months ago
Round 526.745 to the nearest hundred
General
2 months ago
write the equation of the perpendicular bisector that goes through the line segment with end points of A -1,-2 and B -2,-8
General
2 months ago
Suppose that an ordinary deck of 52 cards is shuffled and the cards are then turned over one at a time until the first ace appears. Given that the first ace is the 20th card to appear, what is the conditional probability that the card following it is the (a) ace of spades? (b) two of clubs?
General
2 months ago
What is 5 3/8-(-1 3/10)
General
2 months ago
What is the value of the underlined digit? 56.13
General
2 months ago
Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 9 per hour. A. Determine the probability that over the next hour, only one car will arrive. Probability = B. Compute the probability that in the next 6 hours, more than 22 cars will arrive.
General
2 months ago
Dory lives 2.5 miles from school. Jim lives 3.2 kilometers from school. Ely lives 2300 meters from school, and Chris lives 3000 yards from school. Which lists the students from closest to farthest from school? (1 mi = 1.61 km; 1 m = 1.09 yd;1 km = 1000 m)
General
2 months ago
Question 1.Evaluate m ÷ n for m = 1/4 and n = 4/5a. 1/5 b. 5/16 c. 5d. 16/5 Question 2.Find the quotient2/9 ÷ 4/6 a. 3/4 =b. 2/3 =c. 4/27 =d. 1/3 =Question 3.Solve the equation 13 r = 3/7 Express your answer in simplest form.a. r = 39/7 =b. r = 91/3 =c. r = 3/91 =d. r = 7/39 =Question 4. Divide. Express your answer in simplest form. 6 1/4 ÷ 3 1/20 a. 2 1/10 =b. 2 7/72 =c. 2 3/61 =d. 18 1/24 =Question 5.Simplify 7/8 ÷ 8a. 7 =b. 7/16 =c. 56 =d. 7/64 =
General
2 months ago
*THIS IS HISTORY* Identify the factors (new resources, increased productivity, education, technology, slave economy, territorial expansion) that increase economic growth.How did the Aztecs use trade to increase their economy?
General
2 months ago
A previous study claims that 75% of all students graduate on time. You believe the percentage is lower than that. In a random sample of 200 students, 142 will graduate on time. At the significance level .05, what conclusion do you draw?
General
2 months ago
in a science lab a group counted out 400 seeds in their pumpkin. after weighing 10 seeds they came up with the weight of 0.056 ounces. how much would the total seeds weigh?
General
2 months ago
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every bag contains exactly the same weight. But if more than 15% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package. The engineer weighs 100 bags and finds that 21 of them are over-filled. He plans to test the hypotheses: H0: p = 0.15 versus Ha: p > 0.15 (where p is the true proportion of overfilled bags). What is the test statistic?
General
2 months ago
Taking successive discounts of 15% off and then 25% off is the same as taking a one time discount of 40%.Please select the best answer from the choices providedОТF
General
2 months ago
solve the system of equations 2r - 6y= 28-x-y = 14PLEASE HELP
General
2 months ago
In the country of Tibet, a person called the Dalai Lama is in charge of much of the government. When the Dalai Lama dies, Tibetans believe that his spirit leaves his body. They also believe that this spirit is quickly born again. After a few years, Tibetan religious officials begin to look for signs that tell them where he has been reborn. In 1933, the 13th Dalai Lama died. Two years later, Lhamo Thondup was born. After searching the country, officials decided that he was the next reincarnation of the Dalai Lama's spirit. When he was four, officials took him to live in Lhasa, the capital of Tibet.-Adapted from "The Dalai Lama: A Man Reborn to Lead Tibet" by George GibsonWhich paraphrased evidence supports the claim that Lhamo Thondup would be the next Dalai Lama?Check all that are true.1.The Dalai Lama is an important leader in the country of Tibet.2.Lhamo Thondup was four years old when Tibetan religious officials moved him to Lhasa, the capital of Tibet.3.After searching the country, Tibetan religious officials decided that Lhamo Thondup was the next reincarnation of the Dalai Lama's spirit.4.Lhamo Thondup was already in charge of much of the government when the 13th Dalai Lama died.
General
2 months ago
On a windy day William found that he could travel 10 mi downstream and then 2 mi backupstream at top speed in a total of 16 min. What was the top speed of William's boat if the rateof the current was 30 mph? (Let x represent the rate of the boat in still water.)
General
2 months ago
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