Explain when a trapezoid is not a parallelogram. sketch an example.

A quadrilateral is a parallelogram if it has two pairs of parallel sides.

A quadrilateral is a trapezoid if it has one pair of parallel sides.

This implies that all parallelogram are trapezoid: if you have two pairs of parallel sides, you have one pair of parallel sides - you actually have more than required.

On the other hand, not all trapezoid are parallelogram: if you have one pair of parallel sides, you can't be sure that the other pair of sides will be parallel, too.

So, a trapezoid is not a parallelogram if it has only one pair of parallel sides, and the other two are not parallel.

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;