A family with three young children just moved into a house with a yard that is not fenced in. The previous owner gave them

300 feet of fencing to use to enclose part of their backyard. Use the quadratic function A(2) = x(300 - 2x) to determine

the maximum area of the fenced-in yard.

A_max =  11250 ft^2

Step-by-step explanation:

You have the following function for the area of the backyard:

  (1)

To find the maximum area, you first derivative the function A respect to x:

   (2)

Next, you equal the function (2) to zero in order to obtain the value of x:

Finally, you replace the value of x=75 in the function A in (1):

hence, the maximum area is 11250 ft^2

the answer is ! ?

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;