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During its manufacturing process, Fantra fills its 20 fl oz bottles using an automated filling machine. This machine is not perfect and will not always fill each bottle with exactly 20 fl oz of soft drink. The amount of soft drink poured into each bottle follows a normal distribution with mean 20 fl oz and standard deviation 0.17 fl oz. The Fantra quality testing department has just carried out a routine check on the average amount of soft drink poured into each bottle. A sample of 25 bottles were randomly selected and the amount of soft drink in each bottle was measured. The mean amount of soft drink in each bottle was calculated to be 19.91 fl oz. The Fantra Chief Executive Officer believes that such a low mean is not possible and a mistake must have been made. Calculate the probability of obtaining a sample mean below 19.91 fl oz. Give your answer as a decimal to 4 decimal places.
General
2 months ago
A scientist repeats Mendel’s experiment. The scientist got the following results: A table shows that 669 plants have purple flowers and 221 plants have white flowers. What is the ratio of purple flowers to white flowers? :1answer: 3.03
General
2 months ago
Write the point-slope form of the line that passes through (5,5) and is perpendicular to a line with a slope of 1/4 include all of your work in your final answer.
General
2 months ago
Jo participated in a read-a-thon to raise money for a local library. She raised $20 plus $1.50 per book that she red. She raised a total of $59. Let X represent the number of books Jo read. In the first blank, write an equation that can be used yo determine the number of books Jo read. In the second blank, answer how many books did she read?
General
2 months ago
Write the point-slope form of the line that passes through (5,5) and is parallel to a line with a slope of 1/4 include all of your work in your final answer.
General
2 months ago
Write the point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8 include all of your work in your final answer.
General
2 months ago
Write the point-slope form of the line that passes through (6,1) and is parallel to a line with a slope of -3 include all of your work in your final answer.
General
2 months ago
A golfer hits his ball with speed v o at an angle 6 above the horizontal ground. Assuming that the angle 0 is fixed and that air resistance can be neglected, what is the minimum speed v o (min) for which the ball will clear a wall of height h, a distanced away? Your solution should get into trouble if the angle 0 is such that tan 0 < h 1 d. Explain. What is v o (min) if 6 = 25°, d = 50 m, and h = 2 m?
General
2 months ago
PLEASE HELP ASAP!!Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2−x+1 intersect are the solutions of the equation 4−x = 2−x+1.Part B: Make tables to find the solution to 4−x = 2−x+1. Take the integer values of x between −2 and 2.Part C: How can you solve the equation 4−x = 2−x+1 graphically?
General
2 months ago
yo whats up. please help me. this is worth 17 points because if I don't finish this i'll get grounded.1. after a holiday dinner, there are 3 1/3 apple pies left and 2 5/6 pumpkin pies left. a. how much more apple pie than pumpkin pie is left?b. tom ate 1/2 of the leftovers. how much pie in all did he eat?2. An angelfish was 1 1/2 inches long when it was brought. Now it is 2 1/3 inches long. a. How much has the angelfish grown?b. An inch is 1/12 of a foot. How much has the angelfish grown in feet?3. there was a 6 square foot piece of wrapping paper for a birthday present it takes 3/ 38 square feet of the paper to wrap the present. how many pieces of 6 square foot paper are needed to wrap 3 of these presents?4. Today, a bicycle rider rode her bike 5 1/2 miles. Yesterday, she rode 6/14 miles. the difference in length between the two rides is what fraction of the longer ride?5. A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds of fruit. What fraction of the total pounds of fruit and vegtables do the pounds of fruit represent?all answers are appreciated, I don't want to be grounded. Please.
General
2 months ago
Three friends got the prize money with 52,000. The first friend would get three times the amount of the third friend's portion. The third friend would get three times the amount of the second friend's portion. Determine the amount that each friend would receive
General
2 months ago
For the following system, use the second equation to make a substitution for y in the first equation.3x + y = 1y + 4 = 5xWhat is the resulting equation?3x + 5x - 4 = 13x + 4 - 5x = 13x + 5x + 4 = 1
General
2 months ago
Primalia knows there are 3 feet in 1 yard. She writes the equation 3f=y to find the number of yards, y, in any number of feet, f. Use the drop-down menus to complete the statements about Primalia's equation. CLEAR CHECK Complete the ratio table showing the correct relationship between the number of feet and the number of yards. f (number of feet) y (number of yards) 3 1 2 3 The number of feet is always the number of yards. Complete the table using Primalia's equation 3f=y. 3 × f (number of feet) = y (number of yards) 3 × 1 = 3 3 × 2 = 3 × 3 = Using Primalia's equation, the number of feet would be the number of yards. Evaluate Primalia's equation. Primalia's equation tell her the correct number of yards, given any number of feet. Select the equation that correctly shows the relationship between the number of feet and the number of yards.
General
2 months ago
Hamburger buns come in packages of 8. Hamburger patties come in packages of 10.Neil would like to buy the smallest number of hamburger buns and hamburger patties so that he will have exactly one hamburger patty per bun.A. To figure out how many packs of buns and patties to buy, would you use GCF or LCM?B. Explain why you chose the answer you did for Part A (in other words, how did you decide?)Stating "I just know" is not an explanation. Give mathematical support for the answer you give.C. How many packages of hamburger buns and hamburger patties must he buy? (label which number is for buns and which number is for patties)
General
2 months ago
You give tours on the Great Lakes and talk about points of interest. A lighthouse typically has 2 beacons that rotate together—but not necessarily facing opposite directions. In that way, it can be a shorter time between the first and second flashes than between the second flash and the third flash (when the first beacon comes around for the second time). One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. If the beacons are set 120° apart along the rotation, as shown below, what is this ratio?
General
2 months ago
Put the following list of numbers in ascending order.1.2061.2121.211.2105
General
2 months ago
Father can do the job on the farm in 6 hours. The older son can do it in 8 hours. The younger son can do same job in 12 hours. How long will it take them to do the job, if they all work together?
General
2 months ago
The width and the length of a rectangular piece of plywood are 4 feet and 8 feet, respectively. Along one edge of the plywood, a strip x inches wide and 8 feet long is removed. Then, along an edge perpendicular to the 8-foot edge, a strip x inches wide is removed. For what value of x will the remaining rectangular piece have width and length in the ratio of 2 to 5? (1 foot = 12 inches)
General
2 months ago
If the parent function f(x)= 3sq rootx is transformed to g(x) = 3sq rootx + 2 - 4 , which is the graph of g(x)?
General
2 months ago
An online furniture store sells chairs for $150 each and tables for $400 each. Every day, the store can ship no more than 30 pieces of furniture and must sell a minimum of $6500 worth of chairs and tables. If 10 tables were sold, determine the minimum number of chairs that the the store must sell in order to meet the requirements. If there are no possible solutions, submit an empty answer.
General
2 months ago
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