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General
The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.Sun.Mon.Tues.Wed.Thurs.Fri.Sat.0108876.54.5Which of the payment options would you recommend to a new employee?a.Either one. Hourly and salaried employees earn the same amount per week.b.Hourly pay. Hourly employees make more per week than salaried employees.c.Salaried pay. Salaried employees make more per week than hourly employees.d.There is not enough information given to compare weekly earnings.
General
2 months ago
Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem? This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 . This does not contradict the Mean Value Theorem since f is not continuous at x = 3. This does not contradict the Mean Value Theorem since f is continuous on (1, 7), and there exists a c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 . This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 , but f is not continuous at x = 3. Nothing can be concluded.
General
2 months ago
Describe the graph represented by the equation r = 4 / 2 + 3 sin theta
General
2 months ago
The function f(x) = –x2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit.Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)
General
2 months ago
here are 12 marbles in a bag, and the marbles are either yellow or green. Two marbles will be randomly picked from the bag, without replacing the first one picked. The probability that both marbles will be yellow is 5 33 . How many GREEN marbles are in the bag? A) 4 B) 5 C) 6 D) 7
General
2 months ago
A seedling tree grows steadily at a rate of 4 cm per day. Which of the following formulas can be the one describing how the height of this tree, h (in cm), depends on the number of days that passed, d? (A) h=4d (B) h=−4d+50 (C) h=4d+50 (D) h=4d−50
General
2 months ago
Which of these descriptions are properties of salts? Check all that apply. formed by the reaction of two acids covalent bondsdissociate in waterelectrolyteslow conductivityare a product of a neutralizing reaction
General
2 months ago
using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
General
2 months ago
John runs a computer software store. Yesterday he counted 121 people who walked by the store, 56 of whom came into the store. Of the 56, only 23 bought something in the store. (Round your answers to two decimal places.) (a) Estimate the probability that a person who walks by the store will enter the store. 0.46 Correct: Your answer is correct. (b) Estimate the probability that a person who walks into the store will buy something. 0.41 Correct: Your answer is correct. (c) Estimate the probability that a person who walks by the store will come in and buy something. 0.19 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. (d) Estimate the probability that a person who comes into the store will buy nothing. 0.27 Incorrect: Your answer is incorrect.
General
2 months ago
The cone shown has a volume of 12 pi inches find the volume of a cylinder with the same base and height as the cone
General
2 months ago
I need help with these quadratic applications.
General
2 months ago
An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 3 IQ points of the true mean. Assume that sigmaequals15 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
General
2 months ago
Consider the function f(x)=−2x3+2x2−2x+2 Find the average slope of this function on the interval (4,9). By the Mean Value Theorem, we know there exists a c in the open interval (4,9) such that f′(c) is equal to this mean slope. Find the value of c in the interval which works
General
2 months ago
The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 120I I2 + I + 4 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum? I = thousand foot-candles
General
2 months ago
Robin rides a personal watercraft 75° west of south at 70 miles/hour. The water current is moving 6 miles/hour at an angle of 75° south of west. What is the actual speed (rounded to the nearest hundredth) of Robin's watercraft? A. 71.19 miles/hour B. 73.19 miles/hour C. 75.12 miles/hour D. 77.13 miles/hour
General
2 months ago
The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.711.7 fluid ounces and a standard deviation of 0.20.2 fluid ounce. A drink is randomly selected. Find the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces.
General
2 months ago
A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was computed based on the sample data. The confidence interval for the mean is: (107.62,129.75). What is the z-value that was used in the computation. Round your z-value to 2 decimal places.
General
2 months ago
A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches A. .3 cm B. .1 cm C. 2.7 cm D. .9 cm
General
2 months ago
Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.008; confidence level: 98%; ModifyingAbove p with caret and ModifyingAbove q with caret unknown
General
2 months ago
Choose the equation that represents a line that passes through points (-1, 2) and (3, 1). A. 4x - y = -6B. x + 4y = 7C. x - 4y = -9D. 4x + y = 2
General
2 months ago
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