The diagram represents a rectangular garden of length 14 m and width 10 m. The flower bed is a triangle and the vegetable patch is a trapezium. The rest of the garden is lawn. Work out the are of the lawn.

The area of the lawn is 68 .

Step-by-step explanation:

Area of lawn = Area of garden - (Area of triangle + Area of trapezium)

Area of garden = length x width

                             = 14 x 10

                            = 140

Area of triangle = x base x height

                          = x 3 x 8

                          = 12

Area of trapezium = (a + b) h

                              = (5 + 7) 10

                               = 60

So that;

Area of lawn = 140 - (12 + 60)

                      = 140 - 72

                      = 68

The area of the lawn is 68 .

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;

step by step explanation: when u removing the parentheses and combined them that would be : x+3y-x-y=2y