Perimeter is adding all 4 sides of a rectangle together.
Since the length is 1-1/2 yards longer than it's width, 2 sides are 1-1/2 yards longer.
So now we know that 2 sides are: 1-1/2 + 1-1/2 = 3 yards longer.
Subtract the 3 yards from the perimeter: 40 -3 = 37 yards.
To find the width, divide 37 yards by 4 sides: 37 / 4 = 9-1/4 yards.
The width is 9-1/4 yards.
The length is the width plus 1-1/2: 9-1/4 + 1-1/2 = 10-3/4 yards.
Check to see if this equals the perimeter: 10-3/4 + 10-3/4 + 9-1/4 + 9-1/4 = 40 yards.
That works out so we now have the length and width.
Area = Length x width
Area = 9-1/4 x 10-3/4 = 99 7/16 square yards.
Answer:
17s−109t
Step-by-step explanation:
Let's simplify step-by-step.
9(3s−3t)−2t−10(8t+s)
Distribute:
=(9)(3s)+(9)(−3t)+−2t+(−10)(8t)+(−10)(s)
=27s+−27t+−2t+−80t+−10s
Combine Like Terms:
=27s+−27t+−2t+−80t+−10s
=(27s+−10s)+(−27t+−2t+−80t)
=17s+−109t
Answer:
The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
As the sample size is large, i.e. <em>n</em> = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.
Compute the value of as follows:
Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.