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Two pipes are connected to the same tank. When working together, they can fill the tank in 8 hrs. The larger pipe, working alone, can fill the tank in 12 hrs less time than the smaller one. How long would the smaller one take, working alone, to fill the tank?
General
2 months ago
The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches. a) What is the z-scores for a woman 6 feet tall? b) What is the z-scores for a man 6 feet tall? c) What information do the z-scores give that the actual heights do not? d) What percent of men are shorter than 5 feet, 5 inches tall? e) What percent of women are over 6 feet, 1 inch tall? f) Find the interquartile range for the height of women aged 20-29.
General
2 months ago
The line $y = b-x$ with $0 < b < 4$ intersects the $y$-axis at $P$ and the line $x=4$ at $S$. If the ratio of the area of triangle $QRS$ to the area of triangle $QOP$ is 9:25, what is the value of $b$? Express the answer as a decimal to the nearest tenth.
General
2 months ago
If $945 is invested at an interest rate of 4% per year and is compounded continuously, how much will the investment be worth in 10 years?Use the continuous compound interest formula A = Pert.A. $947 B. $984C. $1,028D. $1,410
General
2 months ago
Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Two are jelly-filled, 5 are lemon-filled, and 17 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a jelly-filled donut followed by a custard-filled donut.
General
2 months ago
Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 132 and 159 miles in a day.
General
2 months ago
Two numbers are such that one number is 42 more that the second number and their average is equal to 40. What is the larger of the two numbers?
General
2 months ago
On March 1st, Nichols Corporation purchased 1,000 shares of previously issued common stock, paying $3 per share. On April 1st, Nichols sold 600 shares at $4 per share. What is the amount of Paid-In Capital from Treasury Stock Transactions for the sale of 600 shares?
General
2 months ago
An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it climbed during the previous second. How many seconds does it take for the plane to reach an altitude of 12,000 feet above its takeoff height?
General
2 months ago
Which of the following is equal to the square root of the cube root of 6? 6 to the power of one sixth 6 to the power of one third 6 to the power of two thirds 6 to the power of three halves
General
2 months ago
At a swim meet, it took Deborah 40.8 seconds to complete the 50 meter freestyle event. It took Robert 60.2 seconds to complete the 100 meter butterfly event. It took Emily 112.4 seconds to complete the 200 meter medley event. Who swam the fastest?
General
2 months ago
The average cost per person of attending an online class depends on the number of people attending. If 20 people attend, the web host charges $10 per person. If 26 people attend, the web host charges $6.25 per person. If 35 people attend, the web host charges $4 per person. Which table represents the inverse of this function?
General
2 months ago
Find an equation for the line that passes through the points(-4,-3)and(6,1).
General
2 months ago
The Florida Tourist Commission selected a random sample of 200 people that attended one or more concerts during the first weekend in April of 2010. The survey revealed that 120 concert goers went to Orlampa Skydome and 100 went to the Bithlo Megaplax. Calculate the probability that a selected concert goer during the same weekend next year will go to either the Orlampa Skydome OR the Bithlo Megaplax?
General
2 months ago
Which system of linear inequalities is graphed?A) {x<−2 {y≤−x−2B) {x<−3 {y<−x−2C) {x<−2 {y≤−x+2D) {x≤−2 {y≤−x−3
General
2 months ago
The price of Stock A at 9 A.M. was $13.14. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $13.64. It begins to decrease at the rate of $0.09 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
General
2 months ago
In the figure below , ABCD is a square . Points are chosen on each pair of adjacent sides of ABCD to form 4 congruent right triangles as shown below . Each of these has one leg that is twice as long as the other leg what fraction of the area of square ABCD is shaded
General
2 months ago
Mr.Watson is planning the seating for school play. He needs to reverse 1/3 of the seats for students, 1/6 of the seats for parents, and 1/8 of the seats for teachers and school administrators. The remainder of the seats can be used for open seating. What fraction of the seats are now left for open seating? Use fractions
General
2 months ago
in 2006, a car was purchased for $17,000. Each year since, the resale value has decreased by 21%.Let t be the number of years since 2006. Let y be the value of the car, in dollars.Write an exponential function showing the relationship between y and t
General
2 months ago
NEED HELP ASAP PLEASE.Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Create a proportion using the form %/100 = is/of to represent the following word problem. 78% of what number is 42?
General
2 months ago
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