Suppose 57% of the doctors in a hospital are surgeons. If a sample of 465 doctors is selected, what is the probability that the sample proportion of surgeons will differ from the population proportion by greater than 6%? Round your answer to four decimal places.
A rectangular playground is enclosed by 440 feet of fencing. If the length of the playground is 20 feet less than 3 times the width, find the dimensions of the playground.
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply. y = y equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus StartFraction 5 Over 3 EndFraction.x + 3y = –4x + 40 4x + y = 21 4x + 3y = 5 –4x + 3y = 17
Q: (A)Which of the following is the largest unit of measure: one ton, one pound, or one gram?(1 point) Responses All are equal.1 one gram.2 one pound.3 one ton.4 next Q (B)Which of the following is a measure of volume: cups, centimeters, seconds, or kilograms?(1 point) seconds.1 cups2. kilograms.3 centimeters.4 next Q (C)Which is the smallest measure of length: millimeter, centimeter, inches, or miles?(1 point) miles miles centimeter centimeter millimeter millimeter inches (D)What is a yard a measure of?(1 point) Responses temperature1 temperature length2 length volume3 volume time4 (E) Which of the following measures temperature: degrees Celsius, liter, gram, or quart?(1 point) Responses degrees Celsius1 degrees Celsius quart2 quart liter3 liter gram4 it would wonderful if you could answer all or them by letter and choises number
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. If a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? Round your answer to four decimal places.
A math class has 3 girls and 7 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? Write your answer as a fraction in simplest form.
Find the total amount given the original price and tax rate. Round to the nearest cent if necessary. $31.69, 6%
