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A small, test batch of lemonade used one fourth cup of sugar added to one cup of water and one fourth cup of lemon juice. After confirming it tasted good, a larger batch is going to be made with the same ratios using 10 cups of water. How much sugar should be added so that the large batch tastes the same as the test batch
General
4 months ago
A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000. The following is the setup for this hypothesis test: {H0:p=0.40Ha:p<0.40 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Provide your answer below:
General
4 months ago
The cumulative distribution function for a certain random variable X is given as follows: F (x) = {0, x < 0 4x^3 - 3x^4, 0 lessthanorequalto x lessthanorequalto 1 1, x greaterthanorequalto 1. (a) Find P(x greaterthanorequalto 1/2). (b) Find the pdf, f (x). (F (x) = integral^x _-infinity f (t)dt.) (c) Find the mean and variance. 20 percent (20%) of tree light bulbs manufactured by a company are defective. The company's Quality Control Manager is quite concerned and therefore randomly samples 50 bulbs coming off of the assembly line. Let X denote the number in the sample that are defective. What is the probability that the sample contains at most four defective bulbs? The results of our MIDTERM in MATH 279 are as follows: 75, 8, 36, 36, 55, 55, 27, 83, 17, 58, 55, 42, 36, 50, 42, 82, 27, 92, 50, 42, 100, 83, 27, 58, 55 Find a 95% confidence interval for the average of all tests at NJIT. The probability density function (pdf) for the length of a part in millimeters is f (x) = 30e^-30 (x - 10) for x > 10 in and zero for x lessthanorequalto 10 in. Although the intended target length is 10 in several factors can produce lengths exceeding 10 in. (a) Determine the mean and variance of the length. (b) The probability that length exceeds 10.1 in. (c) Find the cumulative function, F(x).
General
4 months ago
Copy and simplify the following expressions by combining like terms. Using or drawing sketches of algebra tiles may be helpful.2x^2+30+3x^2+4x^2+14+x20+5xy+4y^2+10+y^2+xy
General
4 months ago
Which postulate or theorem proves that these two triangles are congruent? SAS Congruence Postulate HL Congruence Theorem AAS Congruence Theorem ASA Congruence Postulate
General
4 months ago
A line has this equation: y = x + 7Write an equation for the parallel line that goes through (3.-5).
General
4 months ago
A hot air balloon is currently at a height of 900 feet. The balloon is descending by 10 feet minute. Find a function for the balloon's height after x minutes
General
4 months ago
A used electronics store pays $50 for each cell phone, spends $15 refurbishing the phone, and sells the refurbished phone to a customer for $120.a. Write an expression in simplest form that represents the company's earnings (in dollars) from buying, processing, and selling cell phones. Use x to represent the number of cell phones they sell. An expression is ( ) dollars.Question 2b. What does the coefficient of the expression in part (a) represent?- the total number of phones the company sells - the amount (in dollars) the customer loses from each phone- the amount (in dollars) the company earns from each phone- the amount (in dollars) the company spends on each phone
General
4 months ago
A survey question revealed that at a particular college 87 percent of students worked at least sometime during their undergraduate career and 13 percent did not work at all. Another question showed that 32 percent of the students worked throughout their undergraduate career. A pie chart is created that includes the category "Students who worked sometime during their undergraduate career, but not throughout." What would the central angle be for this category? A. 198 degrees B. 47 degrees C. 313 degrees D. 115 degrees
General
4 months ago
A survey of 3,000 who bought a new car showed that 900 people hadmechanical issues within the first 2 year. What is the relative frequency of the people that had mechanical issues?What is the relative frequency of the people that did not have mechanicalissues?What does the relative frequencies in part (a) and (b) tell you about thenew car and how reliable it has been? Explain please and Thank you.
General
4 months ago
Jordan measures the side lengths of a triangular piece of sheet metal. The side lengths are 156 cm, 133cm, and 205 cm. Verify that the triangular piece of sheet metal is a right triangle. (this problem involves polynomial identities)Please help as soon as possible, thank you!!
General
4 months ago
Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find theP-value using α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities?Lemon_Imports_(x) Crash_Fatality_Rate_(y)230 15.8264 15.6359 15.5482 15.3531 14.9What are the null and alternative hypotheses?
General
4 months ago
Barbara purchased a home entertainment center for $2,665 using an 18-month deferred payment plan with an interest rate of 24.36%. She did not make any payments during the deferment period. What will Barbara's monthly payment be if she must pay off the home entertainment center within three years after the deferment period?
General
4 months ago
A school wants to buy a chalkboard that measures 1 meter by 2 meters. The chalkboard costs $13.87 per square meter. How much will the chalkboard cost?
General
4 months ago
URGENT! ANSWER THESE QUESTIONS AND SHOW WORK! 50 POINTS!
General
4 months ago
Heather makes 32 water balloons in 45 minutes. At this rate, how many hours will it take her to make 136 water balloons
General
4 months ago
Kevin and Randy muise have a jar containing 55 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $9.35 how many of each type of coin do they have?
General
4 months ago
The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold StartFraction one-third EndFraction of the short-sleeved shirts and StartFraction one-half EndFraction of the long-sleeved shirts, for a total of 100 shirts.This system of equations models the situation. 5x + 10y = 1,750x + A system of equations. 5 x plus 10 y equals 1,750. StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 100.y = 100Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered.How many short-sleeved shirts were ordered?How many long-sleeved shirts were ordered?
General
4 months ago
Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, explain what an and an-1 represent in the formula. Then find a8 . What do you need to know in order to find a8 ?
General
4 months ago
If an investor has a $5000 pre-tax return the state tax rate is 4.5% in the federal tax rate is 22% what is the real investment value
General
4 months ago
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