Jared wants to paint his room. the dimensions of the room. are 12 by 15 feet and the walls 9 feet. there are two windows, each with dimensions 6 feet by 5 feet. there are two doors, each with dimensions 30 inches by 6 feet. if a gallon of paint covers about 350 squrae feet. how many gallons of paint will he need to put two coats of paints on the wall

2.26 gallons of the paint will be required.

Step-by-step explanation:

Jared wants to paint his room with dimensions 12 feet × 15 feet × 9 feet.

There are two windows of dimensions (6 feet × 5 feet) and two doors with dimensions (30 inches × 6 feet)

To paint this room we have to exclude the area of windows and doors from the area of walls of the room.

Area of walls = 2(Length + width)Height

                      = 2(12 + 15)9 = 2×27×9

                      = 18×27

                      = 486 feet²

Area of the windows = 2(6×5)

                                   = 60 feet²

Dimensions of doors = 30 inches by 6 feet

                                   = feet by 6 feet

                                   = 2.5 feet by 6 feet

Area of the doors = 2(2.5 × 6)

                             = 30 feet²

Now area of the walls excluding windows and doors = 486 - (60 + 30)

                                                                                        = 486 - 90

                                                                                        = 396 feet²

∵ 350 square feet area is covered by paint = 1 gallon

∴ 1 square feet area will be covered by paint = gallons

∴ 396 feet² area will be covered by the paint =  

                                                                           = 1.131 gallons

This volume of paint is sufficient for one coat so paint required for two coats = 1.131×2 = 2.26 gallons

Therefore, 2.26 gallons of paint will be required.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;