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Lawnco produces three grades of commercial fertilizers. A 100-lb bag of grade A fertilizer contains 18 lb of nitrogen, 4 lb of phosphate and 5 lb of potassium. A 100-lb bag of grade B fertilizer contains 20 lb of nitrogen and 4 lb each of phosphate and potassium. A 100-lb bag of grade C fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium. How many 100-lb bags of each of the three grades of fertilizers should Lawnco produce if the following is true?A) 38,800 lb of nitrogen, 7,100 lb of phosphate, and 9,200 lb of potassium are available and all the nutrients are used.B) 33,800 lb of nitrogen, 6,500 lb of phosphate, and 8,100 lb of potassium are available and all the nutrients are used
General
4 months ago
Martina invested her savings in two investment funds. The $12,000 that she invested in Fund A returned a 5% profit. The amount that she invested in Fund B returned a 1% profit. How much did she invest in Fund B, if both funds together returned a 4% profit?
General
4 months ago
NEED HELP! WILL MARK BRAINLIEST!Find the area of the figure using addition. Use paper and pencil, a calculator, or other tool to do your calculations. The area of JKLMN is ___ square units.
General
4 months ago
7 Cassie wants to determine the length of the shadow that a 20-foot tall telephone pole casts without measuring it. If Cassie's mailbox, which is 45 inches in height, casts a shadow that is 22.5 inches in length, how long is the shadow that the telephone pole casts?
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4 months ago
In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet. What is the probability of getting 4 or more days when the surf is at least 6 feet? (Round your answer to three decimal places.)
General
4 months ago
An agricultural sprinkler distributes water in a circular pattern of radius 120 ft. It supplies water to a depth of e−r feet per hour at a distance of r feet from the sprinkler. (Do not substitute numerical values; use variables only.) (a) If 0 < R ≤ 120, what is the total amount of water supplied per hour to the region inside the circle of radius R centered at the sprinkler? ft3 (b) Determine an expression for the average amount of water per hour per square foot supplied to the region inside the circle of radius R. ft3 (per hour per square foot)
General
4 months ago
In a survey, 600 adults in a certain country were asked how many hours they worked in theprevious week. Based on the results, a 95% confidence interval for mean number of hours workedwas lower bound: 41.5 and upper bound: 45.6. Which of the following represents a reasonable interpretation of the result? For those that are not reasonable, explain the flaw.(A) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 41.5 hours and 45.6 hours.A. Flawed. This interpretation makes an implication about individuals rather than the mean.B. Flawed. This interpretation implies that the mean is only for last week.C. CorrectD. Flawed. This interpretation implies that the population mean varies rather than the interval
General
4 months ago
In a recent study of the prevalence of a disease, a simple random sample of 35,000 Americans were selected and it was found that 20.1% reported having the disease. A hypothesis test for a difference from the expected 20% was found to be highly significant, though the difference is quite small. The explanation is that it was an aberrant sample. the value of 20.1% is large compared to the hypothesized value of 20%. the sample size is very large. All of the above.
General
4 months ago
In a support system in the U.S. space program, a single crucial component works only 85% of the time. In order to enhance the reliability of the system, it is decided that 3 components will be installed in parallel such that the system fails only if they all fail. Assume the components act independently and that they are equivalent in the sense that all 3 of them have an 85% success rate. Consider the random variable X as the number of components out of 3 that fail. (a) Write out a probability function for the random variable X. (b) What is E(X) (i.e., the mean number of components out of 3 that fail)? (c) What is Var(X)? (d) What is the probability that the entire system is successful? (e) What is the probability that the system fails? (f) If the desire is to have the system be successful with probability 0.99, are three components sufficient? If not, how many are required?
General
4 months ago
the table below shows the number of the net calories Sylvia burns swimming for various numbers of minutes. Based on Sylvia's metabolism, she must burn 3500 net calories to lose 16 ounces of fat. If Sylvia swims 30 minutes a day, about how many days will it take her to lose at least 5 pounds?
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4 months ago
A rectangle has length of 5.25 cm and area of 44.625 cm. What does the length of the rectangle have to be?
General
4 months ago
Using only the values given in the table for the function, f(x) = x3 – 3x – 2, what is the interval of x-values over which the function is decreasing? (–4, 1) (–4, –1) (–1,1) (–1, 2)
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4 months ago
What function is represented below? graph begins in the first quadrant and decreases quickly while crossing the ordered pair 2, 1. Then the graph begins to decrease slowly as it approaches the x axis. f(x) = one fourth to the power of x plus 2 f(x) = one fourth to the power of x + 2 f(x) = one fourth to the power of x minus 2 f(x) = one fourth to the power of x − 2
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4 months ago
1. Helene’s credit card has an APR of 16.8%. She never pays her balance in full, so she always pays a finance charge. Her next billing cycle starts today. The billing period is 30 days. Today’s balance is $712.04. She is only going to use the credit card this month to make a $5,000 down payment on a new car
General
4 months ago
The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School. Grade Teachers Students 6 1 25 7 2 50 8 3 75 Which teacher-to-student ratio maintains the proportional relationship described in the table?
General
4 months ago
Jay went to an amusement park. The park charges an entrance fee of $10.50 and $4.50 for every ride. Jay spent $46.50 on entrance fees and rides. Which fuction can be used to find the number of rides he went on?
General
4 months ago
Which statement and explanation about the product of a 3-digit number and a 2-digit number is correct? A. The product always has 4 digits. The least 3-digit number is 100, and the least 2-digit number is 10. The product of 100 and 10 has 4 digits, so any product of a 3-digit and a 2-digit number must have 4 digits. B. The greatest number of digits in the product is 6. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 3 digits and 2 digits equals 6 digits, so no product of a 3-digit and a 2-digit number can have more digits. C. The product always has 5 digits. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so any product of a 3-digit and a 2-digit number must have 5 digits. D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.
General
4 months ago
Fill in the missing reasons in the Two-column proof below. Given: m∠2 + m∠3 + m∠4 = 180°Prove: m∠1= m∠3 + m∠4Statement Reasonsa. m∠2 + m∠3 + m∠4 = 180° a.b. m∠1 + m∠2 = 180° b.c. m∠1 + m∠2 = m∠2 + m∠3 + m∠4 c.d. m∠1 + m∠2 - m∠2 = m∠2 + m∠3 + m∠4 -m∠2 d.e. m∠1 = m∠3 + m∠4 e.
General
4 months ago
Martin earned the following scores on his last five tests. 98, 78, 84, 75, 91 What is the mean absolute deviation of his scores? 37.2 0 6.2 7.44 Please help??
General
4 months ago
Anjali went to Citizens Bank and borrowed $7,000 at a rate of 8%. The date of the loan was September 20. Anjali hoped to repay the loan on January 20. Assuming the loan is based on ordinary interest, Anjali will pay back how much interest on January 20? A. $187.18 B. $187.17 C. $189.78 D. $188.22
General
4 months ago
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