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write the point slope form of the line that passes through (5,5) and is parrallel to a line with a slope of 1/4. include all of your work in your final answer. type your answer in the box provided ?
General
4 months ago
A study of driving costs based on 2012 medium-sized sedans found that the average cost (car payments, gas, insurance, upkeep, and depreciation) in cents per mile is approximately: C(x) = 1910.5/x^1.72 + 42.9 (5 ≤ x ≤ 20) Where x (in thousands) denotes the number of miles the car is driven each year. Show that the graph of C is concave upward on the interval (5, 20).
General
4 months ago
One thousand independent rolls of a fair die will be made. Compute an approximation to the probability that the number 6 will appear between 150 and 200 times inclusively. If the number 6 appears exactly 200 times, find the probability that the number 5 will appear less than 150 times?
General
4 months ago
The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the actual temperature of the medium, and standard deviation σ. What would the value of σ have to be to ensure that 95% of all readings are within 0.1° of μ? (Round your answer to four decimal places.)
General
4 months ago
What is the equation for (-3,3) and (1,1)
General
4 months ago
at a dairy plant a milk tank can be filled in 8 hours using the outbound the tank can be emptied in 12 hours if both valves are open and milk is being pumped into the tank how long will it take to fill the tank
General
4 months ago
carla sells cashews for $14 per pound. today he is dicounting the price by 20%. if carla buys 1 1/2 pounds of cashews at the discounted price, how much will she pay?
General
4 months ago
You believe in the power of compounding and decide to save $1 per day by avoiding the purchase of a soda. You deposit the $1 at the end of each day in a bank account that pays 8% interest compounded daily. You are going to take a trip in 20 years with the money you have accumulated. How much money will you have in 20 years, assuming 365 days per year? a. $7,500 b. $12,438 c. $18,032 d. $22,456
General
4 months ago
Football Air Pressure During the National Football League’s 2014 AFC championship game, officials measured the air pressure on 11 of the game footballs being used by the New England Patriots. They found that the balls had an average air pressure of 11.1 psi, with a standard deviation of 0.40 psi. Assuming this is a representative sample of all footballs used by the Patriots in the 2014 season, perform the appropriate test to determine if the average air pressure in footballs used by the Patriots was significantly less than the allowable limit of 12.5 psi. There is no extreme skewness or outliers in the data, so it is appropriate to use the t-distribution.(a) Clearly state the null and alternative hypotheses.
General
4 months ago
Management is considering adopting a bonus system to increase production. One suggestion is to pay a bonus on the highest 5 percent of production based on past experience. Past records indicate that, on the average, 4,000 units of a small assembly are produced during a week. The distribution of the weekly production is approximately normally distributed with a standard deviation of 60 units. If the bonus is paid on the upper 5 percent of production, the bonus will be paid on how many units or more?
General
4 months ago
Jason's age is 1 2 of his brother's age. His brother's age can be represented by the expression 12a - 9. Write an expression that can be used to represent the sum of their ages. A) 12a - 5.5 B) 18a - 13.5 C) 18a + 21 Eliminate D) (12a-9) 2
General
4 months ago
A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the height, z, of the trapezoid. In your final answer, include all of the formulas and calculations necessary.
General
4 months ago
By what percent will a fraction change if its numerator is increased by 60% and its denominator is decreased by 20%?
General
4 months ago
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?adult tickets
General
4 months ago
A bag of fertilizer covers 2500 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 410 feet by 65 feet.
General
4 months ago
Size of U.S. States The total surface area (in square miles) for each of six selected eastern states is listed here.28,995 PA37,534 FL31,361 NY27,087 VA20,966 ME37,741 GAThe total surface area for each of six selected western states is listed (in square miles).72,964 AZ70,763 NV101,510 CA62,161 OR66,625 CO54,339 UTFind the standard deviation for each data set. Which set is more variable?
General
4 months ago
If Juan drives 50 mph for 1.5 hours and then 70 mph for 0.5 hours, then how far did he drive?
General
4 months ago
Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.[ x ][ 1 ][ 2 ][ 5 ][ 10 ]-------------------------------[ y ][ 5 ][ 10 ][ 25 ][ 50 ]5/1 = 10/2 = 25/5 = 10/50
General
4 months ago
Cora sliced 18 kg of green apples for a Party. she divided the Apple slices equally bettween 5 large bowls. How many grams of Apple slices did Cora put in each bowl. kilogram = 1000 grams
General
4 months ago
The number of miles driven varies directly with the number of hours in the car. Billy drives 171 miles in 3 hours, so he could drive _____ miles in 4.5 hours.
General
4 months ago
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