Home / Tag Archives: nearest

Tag Archives: nearest

The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles 4.97 miles

The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles …

Read More »

Joshua wants to buy some land in Wyoming to start a free range chicken ranch. He wants the land to have a length 500 feet greater than the width, so the chickens have room to run. If the area of the land needs to be 1,742,400 square feet, what must the length be? Round answer to the nearest whole foot.

Joshua wants to buy some land in Wyoming to start a free range chicken ranch. He wants the land to have a length 500 feet greater than the width, so the chickens have room to run. If the area of the land needs to be 1,742,400 square feet, what must …

Read More »

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

If 5 in and 8 in are legs:hypotenuse = √(5²+8²) = √89 ≈ 9.4 in. If 5 in is the leg and 8 in is the hypotenuse:other leg = √(8²-5²) = √39 ≈ 6.2 in. The difference between the two possible lengths of the third side = 9.4 – 6.2 = 3.2 in.

Read More »

Consider college officials in admissions registration, counseling, financial aid campus ministry, food services, and so on. How much money do these people make each year? Suppose you read in your local newspaper that 45 officials in student services earn an average of $50,340 each year. Assume that the standard deviation is $10,780 for salaries of college officials and student services. Find a 90% confidence interval for the population mean salaries of such personnel. Round your answer to the nearest dollar and don;t forget to use the $ sign.

Since sample size is > 40, we use the z-score in calculating for the confidence interval. The formula is given as: Confidence Interval = X ± z * σ / sqrt (n) Where, X = mean = $50,340 z = z-score which is taken from standard distribution tables at 90% …

Read More »

An airplane traveling 245 m/s east experiences turbulence, so the pilot slows down to 230 m/s. It takes the pilot 7 seconds to slow down to this speed. What is the acceleration of the plane? Round your answer to the nearest hundredth.

Answer: – 2.14 m/s^2 Explanation: initial velocity , u = 245 m/s final velocity, v = 230 m/s time taken , t = 7 second By use of first equation of motion, v = u + a t where, a be the acceleration. Substitute the values of v, u and …

Read More »

You invest $6000 into an account paying 3.75% annual interest compounded bimonthly(every 2 months), and you want to have $10,000 saved for your first year of college. How long will it take for your investment to grow that large? Round your answer to the nearest whole number.

The formula isA=p (1+r/k)^kt A future value 10000P present value 6000R interest rate 0.0375K compounded every two months 6T time? We need to solve for tT= [log (A/p)÷log (1+r/k)]÷kT=(log(10,000÷6,000)÷log(1+0.0375÷6))÷6T=13.7 yearsRound your answer to getT=14 years

Read More »

The weights of certain machine components are normally distributed with a mean of 8.5 g and a standard deviation of 0.09 g. Find the two weights that separate the top 3% and the bottom 3%. These weights could serve as limits used to identify which components should be rejected. Round to the nearest hundredth of a gram.

To solve this problem,lets say that X = the weight of the machine components. X is normally distributed with mean=8.5 and sd=0.09 We need to find x1 and x2 such that P(X<x1)=0.03 and P(X>x2)=0.03  Standardizing: P( Z< (x1 – 8.5)/0.09 ) =0.03 P(Z > (x2 – 8.5)/0.09 ) =0.03.  From the Z …

Read More »

An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane from the airport (round to the nearest mile)? plzzz helpppp

Answer: Distance between plane and airport is 134.4 miles. Step-by-step explanation: Given : An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. To find : How far is the plane from the airport. Solution : Distance from airport to …

Read More »